* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 18 additional inputs, on iter 1 have 238 / 256 * * * * [misc]points: Computing exacts for 18 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 258 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 250 * * [misc]simplify: Extracting #5: cost 0 inf + 700 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in d * [misc]taylor: Taking taylor expansion of (* a c) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (* b 0) into 0 * [misc]backup-simplify: Simplify (+ (* a c) 0) into (* a c) * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (/ (* a c) (pow c 2)) into (/ a c) * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) in b * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in b * [misc]taylor: Taking taylor expansion of (* a c) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in b * [misc]taylor: Taking taylor expansion of (* c c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* a c) 0) into (* a c) * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (/ (* a c) (+ (pow c 2) (pow d 2))) into (/ (* a c) (+ (pow c 2) (pow d 2))) * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in c * [misc]taylor: Taking taylor expansion of (* a c) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (+ 0 (* b d)) into (* b d) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (/ (* b d) (pow d 2)) into (/ b d) * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) in a * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in a * [misc]taylor: Taking taylor expansion of (* a c) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in a * [misc]taylor: Taking taylor expansion of (* c c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (+ 0 (* b d)) into (* b d) * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (/ (* b d) (+ (pow c 2) (pow d 2))) into (/ (* b d) (+ (pow c 2) (pow d 2))) * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) in a * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in a * [misc]taylor: Taking taylor expansion of (* a c) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in a * [misc]taylor: Taking taylor expansion of (* c c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (+ 0 (* b d)) into (* b d) * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (/ (* b d) (+ (pow c 2) (pow d 2))) into (/ (* b d) (+ (pow c 2) (pow d 2))) * [misc]taylor: Taking taylor expansion of (/ (* b d) (+ (pow c 2) (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (/ (* b d) (pow d 2)) into (/ b d) * [misc]taylor: Taking taylor expansion of (/ b d) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 c)) into c * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ c 0) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ c (+ (pow c 2) (pow d 2))) (+ (* (/ (* b d) (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into (/ c (+ (pow c 2) (pow d 2))) * [misc]taylor: Taking taylor expansion of (/ c (+ (pow c 2) (pow d 2))) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow d 2)) (+ (* (/ b d) (/ 0 (pow d 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (pow c 2) (pow d 2))) (+ (* (/ (* b d) (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))) (* (/ c (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in b * [misc]taylor: Taking taylor expansion of (pow d 2) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 (pow d 2)) (+ (* (/ b d) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ b (pow d 3))) * [misc]taylor: Taking taylor expansion of (- (/ b (pow d 3))) in b * [misc]taylor: Taking taylor expansion of (/ b (pow d 3)) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow d 3) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (* d (pow d 2)) into (pow d 3) * [misc]backup-simplify: Simplify (/ 1 (pow d 3)) into (/ 1 (pow d 3)) * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 d) (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 a) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 b) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) 1) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 b) 1) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 (/ 1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (+ 0 (/ 1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 a) 1) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (* b d))) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1 (* b d)) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) * [misc]taylor: Taking taylor expansion of (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c * [misc]taylor: Taking taylor expansion of (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 d) into d * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 2)) 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in b * [misc]taylor: Taking taylor expansion of (* b d) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow d 2))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in b * [misc]taylor: Taking taylor expansion of (pow d 2) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in d * [misc]taylor: Taking taylor expansion of (- a) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in d * [misc]taylor: Taking taylor expansion of (- b) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 b) -1) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 b) 1) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 (/ -1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (+ 0 (/ 1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in c * [misc]taylor: Taking taylor expansion of (- a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in c * [misc]taylor: Taking taylor expansion of (- b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 a) 1) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 (/ -1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 (/ -1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (* b d))) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1 (* b d)) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) * [misc]taylor: Taking taylor expansion of (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c * [misc]taylor: Taking taylor expansion of (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 d) into d * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 2)) 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in b * [misc]taylor: Taking taylor expansion of (* b d) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow d 2))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in b * [misc]taylor: Taking taylor expansion of (pow d 2) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (+ (* a c) (* b d)) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in d * [misc]taylor: Taking taylor expansion of (* a c) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in b * [misc]taylor: Taking taylor expansion of (* a c) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in c * [misc]taylor: Taking taylor expansion of (* a c) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in a * [misc]taylor: Taking taylor expansion of (* a c) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in a * [misc]taylor: Taking taylor expansion of (* a c) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (+ 0 (* b d)) into (* b d) * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]taylor: Taking taylor expansion of (* b d) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 c)) into c * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ c 0) into c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 a) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 b) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (* b d))) into (/ 1 (* b d)) * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in c * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in b * [misc]taylor: Taking taylor expansion of (* b d) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 c)) (/ 1 (/ 1 a)))))) (* 1 (* (/ 1 (/ 1 d)) (* (/ 1 (/ 1 b)) (* 1 1))))) into (+ (* a c) (* b d)) * [misc]approximate: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in d * [misc]taylor: Taking taylor expansion of (- a) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in d * [misc]taylor: Taking taylor expansion of (- b) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in c * [misc]taylor: Taking taylor expansion of (- a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in c * [misc]taylor: Taking taylor expansion of (- b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 (/ -1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (* b d))) into (/ 1 (* b d)) * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in c * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in b * [misc]taylor: Taking taylor expansion of (* b d) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))) (* 0 (/ 0 (* b d))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 (- c))) (/ 1 (/ 1 (- a))))))) (* 1 (* (/ 1 (/ 1 (- d))) (* (/ 1 (/ 1 (- b))) (* 1 1))))) into (+ (* a c) (* b d)) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (+ (* c c) (* d d)) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* d 1) 2)) (* 1 (pow (* 1 c) 2))) into (+ (pow d 2) (pow c 2)) * [misc]approximate: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 c))) 2)) (* 1 (pow (* (/ 1 (/ 1 d)) 1) 2))) into (+ (pow c 2) (pow d 2)) * [misc]approximate: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- c)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- d))) 1) 2))) into (+ (pow c 2) (pow d 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (* a c) (* b d))) (log (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 8 inf + 87 * * [misc]simplify: Extracting #6: cost 1 inf + 1034 * * [misc]simplify: Extracting #7: cost 0 inf + 1458 * [exit]simplify: Simplified to (- (log (+ (* b d) (* a c))) (log (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (exp (- (log (+ (* b d) (* a c))) (log (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 3 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 82 inf + 1 * * [misc]simplify: Extracting #3: cost 224 inf + 1 * * [misc]simplify: Extracting #4: cost 201 inf + 2822 * * [misc]simplify: Extracting #5: cost 64 inf + 31502 * * [misc]simplify: Extracting #6: cost 0 inf + 47815 * * [misc]simplify: Extracting #7: cost 0 inf + 47455 * [exit]simplify: Simplified to (* (* (/ (+ (* b d) (* a c)) (+ (* d d) (* c c))) (/ (+ (* b d) (* a c)) (+ (* d d) (* c c)))) (/ (+ (* b d) (* a c)) (+ (* d d) (* c c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (cbrt (* (* (/ (+ (* b d) (* a c)) (+ (* d d) (* c c))) (/ (+ (* b d) (* a c)) (+ (* d d) (* c c)))) (/ (+ (* b d) (* a c)) (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 6 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 12 inf + 250 * * [misc]simplify: Extracting #6: cost 4 inf + 2436 * * [misc]simplify: Extracting #7: cost 0 inf + 4132 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 7 inf + 87 * * [misc]simplify: Extracting #6: cost 1 inf + 822 * * [misc]simplify: Extracting #7: cost 0 inf + 1266 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 11 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 8 inf + 250 * * [misc]simplify: Extracting #6: cost 4 inf + 782 * * [misc]simplify: Extracting #7: cost 0 inf + 2278 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c)))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 7 inf + 87 * * [misc]simplify: Extracting #6: cost 1 inf + 782 * * [misc]simplify: Extracting #7: cost 0 inf + 1186 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d)))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 12 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 47 * * [misc]simplify: Extracting #6: cost 4 inf + 89 * * [misc]simplify: Extracting #7: cost 3 inf + 213 * * [misc]simplify: Extracting #8: cost 0 inf + 906 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (cbrt (+ (* a c) (* b d))) (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (+ (* a c) (* b d))) (+ (* c c) (* d d))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 206 * * [misc]simplify: Extracting #5: cost 4 inf + 250 * * [misc]simplify: Extracting #6: cost 0 inf + 984 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (cbrt (+ (* b d) (* a c))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 13 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 9 inf + 87 * * [misc]simplify: Extracting #6: cost 3 inf + 782 * * [misc]simplify: Extracting #7: cost 0 inf + 1872 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 7 inf + 87 * * [misc]simplify: Extracting #6: cost 1 inf + 782 * * [misc]simplify: Extracting #7: cost 0 inf + 1186 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 14 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 7 inf + 87 * * [misc]simplify: Extracting #6: cost 1 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 1106 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 7 inf + 87 * * [misc]simplify: Extracting #6: cost 1 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 1106 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 15 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 47 * * [misc]simplify: Extracting #5: cost 0 inf + 377 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 206 * * [misc]simplify: Extracting #5: cost 4 inf + 250 * * [misc]simplify: Extracting #6: cost 0 inf + 904 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (sqrt (+ (* b d) (* a c))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 16 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 1177 * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (cbrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (cbrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 452 * * [misc]simplify: Extracting #5: cost 0 inf + 982 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 17 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 572 * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 412 * * [misc]simplify: Extracting #5: cost 0 inf + 902 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 18 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 250 * * [misc]simplify: Extracting #5: cost 0 inf + 700 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 19 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 43 * * [misc]simplify: Extracting #5: cost 0 inf + 408 * [exit]simplify: Simplified to (cbrt (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (cbrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 23 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 43 * * [misc]simplify: Extracting #5: cost 0 inf + 368 * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 24 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* c c) (* d d)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 43 * * [misc]simplify: Extracting #4: cost 0 inf + 206 * [exit]simplify: Simplified to (+ (* c c) (* d d)) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) 1) (+ (* c c) (* d d)))) * * * * [misc]progress: [ 25 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 0 * * [misc]simplify: Extracting #5: cost 4 inf + 46 * * [misc]simplify: Extracting #6: cost 0 inf + 660 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (+ (* c c) (* d d)) (cbrt (+ (* a c) (* b d)))))) * * * * [misc]progress: [ 26 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* a c) (* b d))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 46 * * [misc]simplify: Extracting #5: cost 0 inf + 376 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (sqrt (+ (* b d) (* a c))) (/ (+ (* c c) (* d d)) (sqrt (+ (* a c) (* b d)))))) * * * * [misc]progress: [ 27 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (231 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 19 inf + 0 * * [misc]simplify: Extracting #2: cost 99 inf + 0 * * [misc]simplify: Extracting #3: cost 94 inf + 2316 * * [misc]simplify: Extracting #4: cost 39 inf + 10421 * * [misc]simplify: Extracting #5: cost 5 inf + 16009 * * [misc]simplify: Extracting #6: cost 0 inf + 16619 * [exit]simplify: Simplified to (+ (* (* d d) (- (* d d) (* c c))) (* (* c c) (* c c))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* a c) (* b d)) (+ (pow (* c c) 3) (pow (* d d) 3))) (+ (* (* d d) (- (* d d) (* c c))) (* (* c c) (* c c))))) * * * * [misc]progress: [ 29 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* c c) (* d d)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 84 * * [misc]simplify: Extracting #4: cost 3 inf + 946 * * [misc]simplify: Extracting #5: cost 0 inf + 1192 * [exit]simplify: Simplified to (* (+ c d) (- c d)) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* a c) (* b d)) (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (* (+ c d) (- c d)))) * * * * [misc]progress: [ 30 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (* a c) 3) (pow (* b d) 3)) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 32 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 168 * * [misc]simplify: Extracting #4: cost 1 inf + 2742 * * [misc]simplify: Extracting #5: cost 0 inf + 2573 * [exit]simplify: Simplified to (+ (* (* (* b d) (* b d)) (* b d)) (* (* a c) (* (* a c) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (+ (* (* (* b d) (* b d)) (* b d)) (* (* a c) (* (* a c) (* a c)))) (* (+ (* c c) (* d d)) (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d))))))) * * * * [misc]progress: [ 31 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* a c) (* a c)) (* (* b d) (* b d))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (339 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 20 inf + 0 * * [misc]simplify: Extracting #2: cost 92 inf + 0 * * [misc]simplify: Extracting #3: cost 98 inf + 373 * * [misc]simplify: Extracting #4: cost 52 inf + 5368 * * [misc]simplify: Extracting #5: cost 9 inf + 14448 * * [misc]simplify: Extracting #6: cost 0 inf + 16804 * [exit]simplify: Simplified to (- (* (* a c) (* a c)) (* (* b d) (* b d))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (- (* (* a c) (* a c)) (* (* b d) (* b d))) (* (+ (* c c) (* d d)) (- (* a c) (* b d))))) * * * * [misc]progress: [ 32 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* a c)) (exp (* b d))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 2 * * [misc]simplify: Extracting #4: cost 5 inf + 229 * * [misc]simplify: Extracting #5: cost 0 inf + 842 * * [misc]simplify: Extracting #6: cost 0 inf + 772 * [exit]simplify: Simplified to (exp (+ (* a c) (* b d))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (log (exp (+ (* a c) (* b d)))) (+ (* c c) (* d d)))) * * * * [misc]progress: [ 33 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* c c)) (exp (* d d))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 225 * * [misc]simplify: Extracting #4: cost 0 inf + 832 * * [misc]simplify: Extracting #5: cost 0 inf + 762 * [exit]simplify: Simplified to (exp (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (+ (* a c) (* b d)) (log (exp (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 44 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 62 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b c d) 0) * * * * [misc]progress: [ 55 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b c d) 0) * * * * [misc]progress: [ 56 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b c d) 0) * * * * [misc]progress: [ 57 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ 0 (+ (* c c) (* d d)))) * * * * [misc]progress: [ 58 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a c) (* b d)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 46 * * [misc]simplify: Extracting #4: cost 0 inf + 212 * [exit]simplify: Simplified to (+ (* b d) (* a c)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))) * * * * [misc]progress: [ 59 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a c) (* b d)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 46 * * [misc]simplify: Extracting #4: cost 0 inf + 212 * [exit]simplify: Simplified to (+ (* b d) (* a c)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))) * * * * [misc]progress: [ 60 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow d 2) (pow c 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 44 * * [misc]simplify: Extracting #4: cost 0 inf + 207 * [exit]simplify: Simplified to (+ (* d d) (* c c)) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (+ (* a c) (* b d)) (+ (* d d) (* c c)))) * * * * [misc]progress: [ 61 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow c 2) (pow d 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 44 * * [misc]simplify: Extracting #4: cost 0 inf + 207 * [exit]simplify: Simplified to (+ (* c c) (* d d)) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))) * * * * [misc]progress: [ 62 / 62 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow c 2) (pow d 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 44 * * [misc]simplify: Extracting #4: cost 0 inf + 207 * [exit]simplify: Simplified to (+ (* c c) (* d d)) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) * [misc]taylor: Taking taylor expansion of (/ 1/2 d) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* d 1)) into d * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) * [misc]taylor: Taking taylor expansion of (/ 1/2 d) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* d 1)) into d * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in d * [misc]taylor: Taking taylor expansion of (* a c) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (* b 0) into 0 * [misc]backup-simplify: Simplify (+ (* a c) 0) into (* a c) * [misc]backup-simplify: Simplify (/ (* a c) c) into a * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in b * [misc]taylor: Taking taylor expansion of (* a c) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in b * [misc]taylor: Taking taylor expansion of (* c c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* a c) 0) into (* a c) * [misc]backup-simplify: Simplify (/ (* a c) (sqrt (+ (pow c 2) (pow d 2)))) into (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in c * [misc]taylor: Taking taylor expansion of (* a c) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (+ 0 (* b d)) into (* b d) * [misc]backup-simplify: Simplify (/ (* b d) d) into b * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in a * [misc]taylor: Taking taylor expansion of (* a c) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in a * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in a * [misc]taylor: Taking taylor expansion of (* c c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (+ 0 (* b d)) into (* b d) * [misc]backup-simplify: Simplify (/ (* b d) (sqrt (+ (pow c 2) (pow d 2)))) into (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in a * [misc]taylor: Taking taylor expansion of (* a c) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in a * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in a * [misc]taylor: Taking taylor expansion of (* c c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (+ 0 (* b d)) into (* b d) * [misc]backup-simplify: Simplify (/ (* b d) (sqrt (+ (pow c 2) (pow d 2)))) into (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) in c * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0 * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (* (/ 1 d) (* b d)) into b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 c)) into c * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ c 0) into c * [misc]backup-simplify: Simplify (- (/ c (sqrt (+ (pow c 2) (pow d 2)))) (+ (* (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) * [misc]taylor: Taking taylor expansion of (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (* 0 (/ 1 d)) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (* b d))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (pow c 2) (pow d 2)))) (+ (* (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))) (* (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (/ 1 d))) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ 1 (pow d 4))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow d 4))) (pow 0 2) (+)) (* 2 (/ 1 d))) into (/ -1/2 (pow d 3)) * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* (/ -1/2 (pow d 3)) (* b d)))) into (- (* 1/2 (/ b (pow d 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ b (pow d 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ b (pow d 2))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ b (pow d 2)) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow d 2) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (* b (* 1 1)))) into b * [misc]approximate: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 a) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 b) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) 1) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (/ 1 b) 1) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* 1 (/ 1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (+ 0 (/ 1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (/ (/ 1 d) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (/ 1 a) 1) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* 1 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]backup-simplify: Simplify (/ (/ 1 c) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* 1 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]backup-simplify: Simplify (/ (/ 1 c) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (* b d))) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (- (/ (/ 1 (* b d)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in c * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 (* b d)) 1) into (/ 1 (* b d)) * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in b * [misc]taylor: Taking taylor expansion of (* b d) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow d 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow d 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow d 2))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in b * [misc]taylor: Taking taylor expansion of (pow d 2) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* b d)) 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 2)) 0) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 a)))))) into a * [misc]approximate: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in d * [misc]taylor: Taking taylor expansion of (- a) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in d * [misc]taylor: Taking taylor expansion of (- b) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) -1) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (/ 1 b) 1) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* -1 (/ -1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (+ 0 (/ 1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (/ (/ 1 d) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in c * [misc]taylor: Taking taylor expansion of (- a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in c * [misc]taylor: Taking taylor expansion of (- b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (/ 1 a) 1) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* -1 (/ -1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]backup-simplify: Simplify (/ (/ 1 c) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* -1 (/ -1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]backup-simplify: Simplify (/ (/ 1 c) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (* b d))) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (- (/ (/ 1 (* b d)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in c * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 (* b d)) 1) into (/ 1 (* b d)) * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in b * [misc]taylor: Taking taylor expansion of (* b d) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow d 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow d 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow d 2))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in b * [misc]taylor: Taking taylor expansion of (pow d 2) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* b d)) 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 2)) 0) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- a))))))) into (* -1 a) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) in d * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in d * [misc]taylor: Taking taylor expansion of (* a c) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (* b 0) into 0 * [misc]backup-simplify: Simplify (+ (* a c) 0) into (* a c) * [misc]backup-simplify: Simplify (/ (* a c) c) into a * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 * [misc]backup-simplify: Simplify (/ a c) into (/ a c) * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) in b * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in b * [misc]taylor: Taking taylor expansion of (* a c) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in b * [misc]taylor: Taking taylor expansion of (* c c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* a c) 0) into (* a c) * [misc]backup-simplify: Simplify (/ (* a c) (sqrt (+ (pow c 2) (pow d 2)))) into (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in b * [misc]taylor: Taking taylor expansion of (* c c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (/ (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (sqrt (+ (pow c 2) (pow d 2)))) into (/ (* a c) (+ (pow c 2) (pow d 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) in c * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in c * [misc]taylor: Taking taylor expansion of (* a c) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (+ 0 (* b d)) into (* b d) * [misc]backup-simplify: Simplify (/ (* b d) d) into b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]backup-simplify: Simplify (/ b d) into (/ b d) * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) in a * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in a * [misc]taylor: Taking taylor expansion of (* a c) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in a * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in a * [misc]taylor: Taking taylor expansion of (* c c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (+ 0 (* b d)) into (* b d) * [misc]backup-simplify: Simplify (/ (* b d) (sqrt (+ (pow c 2) (pow d 2)))) into (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in a * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in a * [misc]taylor: Taking taylor expansion of (* c c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) (sqrt (+ (pow c 2) (pow d 2)))) into (/ (* b d) (+ (pow c 2) (pow d 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) in a * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in a * [misc]taylor: Taking taylor expansion of (* a c) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in a * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in a * [misc]taylor: Taking taylor expansion of (* c c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (+ 0 (* b d)) into (* b d) * [misc]backup-simplify: Simplify (/ (* b d) (sqrt (+ (pow c 2) (pow d 2)))) into (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in a * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in a * [misc]taylor: Taking taylor expansion of (* c c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) (sqrt (+ (pow c 2) (pow d 2)))) into (/ (* b d) (+ (pow c 2) (pow d 2))) * [misc]taylor: Taking taylor expansion of (/ (* b d) (+ (pow c 2) (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (/ (* b d) (pow d 2)) into (/ b d) * [misc]taylor: Taking taylor expansion of (/ b d) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 c)) into c * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ c 0) into c * [misc]backup-simplify: Simplify (- (/ c (sqrt (+ (pow c 2) (pow d 2)))) (+ (* (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) * [misc]backup-simplify: Simplify (- (/ (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (sqrt (+ (pow c 2) (pow d 2)))) (+ (* (/ (* b d) (+ (pow c 2) (pow d 2))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into (/ c (+ (pow c 2) (pow d 2))) * [misc]taylor: Taking taylor expansion of (/ c (+ (pow c 2) (pow d 2))) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow d 2)) (+ (* (/ b d) (/ 0 (pow d 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (pow c 2) (pow d 2)))) (+ (* (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))) (* (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (pow c 2) (pow d 2)))) (+ (* (/ (* b d) (+ (pow c 2) (pow d 2))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))) (* (/ c (+ (pow c 2) (pow d 2))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in b * [misc]taylor: Taking taylor expansion of (pow d 2) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 (pow d 2)) (+ (* (/ b d) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ b (pow d 3))) * [misc]taylor: Taking taylor expansion of (- (/ b (pow d 3))) in b * [misc]taylor: Taking taylor expansion of (/ b (pow d 3)) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow d 3) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (* d (pow d 2)) into (pow d 3) * [misc]backup-simplify: Simplify (/ 1 (pow d 3)) into (/ 1 (pow d 3)) * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 d) (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in d * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 a) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 b) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) 1) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (/ 1 b) 1) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (/ (/ 1 b) 1) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* 1 (/ 1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (+ 0 (/ 1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (/ (/ 1 d) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in c * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (/ 1 a) 1) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (/ (/ 1 a) 1) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in a * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* 1 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]backup-simplify: Simplify (/ (/ 1 c) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in a * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* 1 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]backup-simplify: Simplify (/ (/ 1 c) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (* b d))) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (- (/ (/ 1 (* b d)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) * [misc]backup-simplify: Simplify (- (/ (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) * [misc]taylor: Taking taylor expansion of (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c * [misc]taylor: Taking taylor expansion of (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 d) into d * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 2)) 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in b * [misc]taylor: Taking taylor expansion of (* b d) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow d 2))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in b * [misc]taylor: Taking taylor expansion of (pow d 2) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in d * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in d * [misc]taylor: Taking taylor expansion of (- a) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in d * [misc]taylor: Taking taylor expansion of (- b) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) -1) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (/ 1 b) 1) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (/ (/ 1 b) 1) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* -1 (/ -1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (+ 0 (/ 1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (/ (/ 1 d) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in c * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in c * [misc]taylor: Taking taylor expansion of (- a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in c * [misc]taylor: Taking taylor expansion of (- b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (/ 1 a) 1) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (/ (/ 1 a) 1) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in a * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* -1 (/ -1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]backup-simplify: Simplify (/ (/ 1 c) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in a * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* -1 (/ -1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]backup-simplify: Simplify (/ (/ 1 c) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (* b d))) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (- (/ (/ 1 (* b d)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) * [misc]backup-simplify: Simplify (- (/ (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) * [misc]taylor: Taking taylor expansion of (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c * [misc]taylor: Taking taylor expansion of (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 d) into d * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 2)) 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in b * [misc]taylor: Taking taylor expansion of (* b d) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow d 2))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in b * [misc]taylor: Taking taylor expansion of (pow d 2) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 0 * * [misc]simplify: Extracting #5: cost 5 inf + 43 * * [misc]simplify: Extracting #6: cost 0 inf + 892 * [exit]simplify: Simplified to (fabs (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 8 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 0 * * [misc]simplify: Extracting #5: cost 4 inf + 43 * * [misc]simplify: Extracting #6: cost 0 inf + 570 * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 9 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (* 1 (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 10 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 904 * * [misc]simplify: Extracting #5: cost 1 inf + 1178 * * [misc]simplify: Extracting #6: cost 0 inf + 1500 * [exit]simplify: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))))) * * * * [misc]progress: [ 11 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 48 inf + 0 * * [misc]simplify: Extracting #3: cost 118 inf + 0 * * [misc]simplify: Extracting #4: cost 119 inf + 1265 * * [misc]simplify: Extracting #5: cost 31 inf + 15994 * * [misc]simplify: Extracting #6: cost 0 inf + 22216 * [exit]simplify: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d)))))) * * * * [misc]progress: [ 12 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 43 * * [misc]simplify: Extracting #5: cost 0 inf + 368 * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (fabs (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 14 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 0 * * [misc]simplify: Extracting #5: cost 5 inf + 43 * * [misc]simplify: Extracting #6: cost 0 inf + 892 * [exit]simplify: Simplified to (fabs (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 22 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 0 * * [misc]simplify: Extracting #5: cost 4 inf + 43 * * [misc]simplify: Extracting #6: cost 0 inf + 570 * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 23 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (* 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 24 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 904 * * [misc]simplify: Extracting #5: cost 1 inf + 1178 * * [misc]simplify: Extracting #6: cost 0 inf + 1500 * [exit]simplify: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (/ (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 25 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 48 inf + 0 * * [misc]simplify: Extracting #3: cost 118 inf + 0 * * [misc]simplify: Extracting #4: cost 119 inf + 1265 * * [misc]simplify: Extracting #5: cost 31 inf + 15994 * * [misc]simplify: Extracting #6: cost 0 inf + 22216 * [exit]simplify: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 26 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 43 * * [misc]simplify: Extracting #5: cost 0 inf + 368 * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (fabs (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 28 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (* a c) (* b d))) (log (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 9 inf + 87 * * [misc]simplify: Extracting #6: cost 3 inf + 772 * * [misc]simplify: Extracting #7: cost 0 inf + 1740 * [exit]simplify: Simplified to (- (log (+ (* b d) (* a c))) (log (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (exp (- (log (+ (* b d) (* a c))) (log (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 31 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 62 inf + 1 * * [misc]simplify: Extracting #3: cost 153 inf + 1 * * [misc]simplify: Extracting #4: cost 124 inf + 4058 * * [misc]simplify: Extracting #5: cost 36 inf + 22229 * * [misc]simplify: Extracting #6: cost 5 inf + 31779 * * [misc]simplify: Extracting #7: cost 0 inf + 33677 * [exit]simplify: Simplified to (/ (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (* (+ (* d d) (* c c)) (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (cbrt (/ (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (* (+ (* d d) (* c c)) (sqrt (+ (* d d) (* c c)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 34 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 14 inf + 208 * * [misc]simplify: Extracting #6: cost 10 inf + 696 * * [misc]simplify: Extracting #7: cost 6 inf + 1790 * * [misc]simplify: Extracting #8: cost 0 inf + 4614 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 8 inf + 87 * * [misc]simplify: Extracting #6: cost 2 inf + 782 * * [misc]simplify: Extracting #7: cost 0 inf + 1508 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 39 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 4 inf + 1306 * * [misc]simplify: Extracting #7: cost 0 inf + 3042 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 8 inf + 87 * * [misc]simplify: Extracting #6: cost 2 inf + 822 * * [misc]simplify: Extracting #7: cost 0 inf + 1548 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 40 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 9 inf + 250 * * [misc]simplify: Extracting #6: cost 3 inf + 1428 * * [misc]simplify: Extracting #7: cost 0 inf + 2600 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 8 inf + 87 * * [misc]simplify: Extracting #6: cost 2 inf + 782 * * [misc]simplify: Extracting #7: cost 0 inf + 1428 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 41 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 6 inf + 5 * * [misc]simplify: Extracting #6: cost 3 inf + 213 * * [misc]simplify: Extracting #7: cost 0 inf + 906 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 7 inf + 87 * * [misc]simplify: Extracting #6: cost 1 inf + 782 * * [misc]simplify: Extracting #7: cost 0 inf + 1186 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 42 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 9 inf + 250 * * [misc]simplify: Extracting #6: cost 3 inf + 1428 * * [misc]simplify: Extracting #7: cost 0 inf + 2600 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 8 inf + 87 * * [misc]simplify: Extracting #6: cost 2 inf + 782 * * [misc]simplify: Extracting #7: cost 0 inf + 1428 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 43 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 47 * * [misc]simplify: Extracting #6: cost 4 inf + 89 * * [misc]simplify: Extracting #7: cost 3 inf + 213 * * [misc]simplify: Extracting #8: cost 0 inf + 906 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 7 inf + 87 * * [misc]simplify: Extracting #6: cost 1 inf + 782 * * [misc]simplify: Extracting #7: cost 0 inf + 1186 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 44 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 87 * * [misc]simplify: Extracting #6: cost 4 inf + 742 * * [misc]simplify: Extracting #7: cost 1 inf + 1710 * * [misc]simplify: Extracting #8: cost 0 inf + 2194 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 8 inf + 87 * * [misc]simplify: Extracting #6: cost 2 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 1428 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 45 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 9 inf + 87 * * [misc]simplify: Extracting #6: cost 2 inf + 1024 * * [misc]simplify: Extracting #7: cost 0 inf + 1710 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 8 inf + 87 * * [misc]simplify: Extracting #6: cost 2 inf + 782 * * [misc]simplify: Extracting #7: cost 0 inf + 1468 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 46 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 8 inf + 87 * * [misc]simplify: Extracting #6: cost 2 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 1348 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 8 inf + 87 * * [misc]simplify: Extracting #6: cost 2 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 1348 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 47 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 47 * * [misc]simplify: Extracting #5: cost 0 inf + 377 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (sqrt (+ (* b d) (* a c))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 7 inf + 87 * * [misc]simplify: Extracting #6: cost 1 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 1106 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (sqrt (+ (* b d) (* a c))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 48 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 8 inf + 87 * * [misc]simplify: Extracting #6: cost 2 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 1348 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 8 inf + 87 * * [misc]simplify: Extracting #6: cost 2 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 1348 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 49 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 47 * * [misc]simplify: Extracting #5: cost 0 inf + 377 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (sqrt (+ (* b d) (* a c))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 7 inf + 87 * * [misc]simplify: Extracting #6: cost 1 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 1106 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (sqrt (+ (* b d) (* a c))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 50 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 1499 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 46 * * [misc]simplify: Extracting #5: cost 3 inf + 416 * * [misc]simplify: Extracting #6: cost 1 inf + 820 * * [misc]simplify: Extracting #7: cost 0 inf + 1224 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 51 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 1176 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 46 * * [misc]simplify: Extracting #5: cost 3 inf + 416 * * [misc]simplify: Extracting #6: cost 1 inf + 860 * * [misc]simplify: Extracting #7: cost 0 inf + 1264 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 52 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 46 * * [misc]simplify: Extracting #5: cost 3 inf + 416 * * [misc]simplify: Extracting #6: cost 1 inf + 780 * * [misc]simplify: Extracting #7: cost 0 inf + 1144 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 53 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* 1 (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 412 * * [misc]simplify: Extracting #5: cost 0 inf + 902 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* 1 (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 54 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 46 * * [misc]simplify: Extracting #5: cost 3 inf + 416 * * [misc]simplify: Extracting #6: cost 1 inf + 780 * * [misc]simplify: Extracting #7: cost 0 inf + 1144 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 55 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* 1 (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 412 * * [misc]simplify: Extracting #5: cost 0 inf + 902 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* 1 (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 56 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 0 * * [misc]simplify: Extracting #5: cost 4 inf + 43 * * [misc]simplify: Extracting #6: cost 0 inf + 610 * [exit]simplify: Simplified to (cbrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 60 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 0 * * [misc]simplify: Extracting #5: cost 4 inf + 43 * * [misc]simplify: Extracting #6: cost 0 inf + 650 * [exit]simplify: Simplified to (sqrt (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 61 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 0 * * [misc]simplify: Extracting #5: cost 4 inf + 43 * * [misc]simplify: Extracting #6: cost 0 inf + 570 * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 62 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 43 * * [misc]simplify: Extracting #5: cost 0 inf + 368 * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt 1)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 63 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 0 * * [misc]simplify: Extracting #5: cost 4 inf + 43 * * [misc]simplify: Extracting #6: cost 0 inf + 570 * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 64 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 43 * * [misc]simplify: Extracting #5: cost 0 inf + 368 * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) 1) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 65 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 0 * * [misc]simplify: Extracting #5: cost 4 inf + 46 * * [misc]simplify: Extracting #6: cost 0 inf + 660 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 66 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* a c) (* b d))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 46 * * [misc]simplify: Extracting #5: cost 0 inf + 376 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 67 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 100 inf + 0 * * [misc]simplify: Extracting #4: cost 97 inf + 2191 * * [misc]simplify: Extracting #5: cost 25 inf + 14891 * * [misc]simplify: Extracting #6: cost 1 inf + 16859 * * [misc]simplify: Extracting #7: cost 0 inf + 16901 * [exit]simplify: Simplified to (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 69 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 30 inf + 0 * * [misc]simplify: Extracting #3: cost 34 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 288 * * [misc]simplify: Extracting #5: cost 9 inf + 2724 * * [misc]simplify: Extracting #6: cost 0 inf + 4302 * [exit]simplify: Simplified to (sqrt (- (* c c) (* d d))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (- (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 70 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (* a c) 3) (pow (* b d) 3)) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 32 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 168 * * [misc]simplify: Extracting #4: cost 1 inf + 2742 * * [misc]simplify: Extracting #5: cost 0 inf + 2573 * [exit]simplify: Simplified to (+ (* (* (* b d) (* b d)) (* b d)) (* (* a c) (* (* a c) (* a c)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (+ (* (* (* b d) (* b d)) (* b d)) (* (* a c) (* (* a c) (* a c)))) (* (sqrt (+ (* c c) (* d d))) (+ (* (* a c) (* a c)) (- (* (* b d) (* b d)) (* (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 71 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* a c) (* a c)) (* (* b d) (* b d))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (339 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 20 inf + 0 * * [misc]simplify: Extracting #2: cost 92 inf + 0 * * [misc]simplify: Extracting #3: cost 98 inf + 373 * * [misc]simplify: Extracting #4: cost 52 inf + 5368 * * [misc]simplify: Extracting #5: cost 9 inf + 14448 * * [misc]simplify: Extracting #6: cost 0 inf + 16804 * [exit]simplify: Simplified to (- (* (* a c) (* a c)) (* (* b d) (* b d))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (- (* (* a c) (* a c)) (* (* b d) (* b d))) (* (sqrt (+ (* c c) (* d d))) (- (* a c) (* b d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 72 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (+ (* a c) (* b d))) (log (sqrt (+ (* c c) (* d d))))) (log (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 33 inf + 0 * * [misc]simplify: Extracting #5: cost 28 inf + 46 * * [misc]simplify: Extracting #6: cost 22 inf + 722 * * [misc]simplify: Extracting #7: cost 20 inf + 1006 * * [misc]simplify: Extracting #8: cost 2 inf + 7190 * * [misc]simplify: Extracting #9: cost 0 inf + 7966 * [exit]simplify: Simplified to (- (log (+ (* b d) (* a c))) (+ (log (sqrt (+ (* c c) (* d d)))) (log (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (exp (- (log (+ (* b d) (* a c))) (+ (log (sqrt (+ (* c c) (* d d)))) (log (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 74 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (log (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 87 * * [misc]simplify: Extracting #6: cost 12 inf + 610 * * [misc]simplify: Extracting #7: cost 10 inf + 1096 * * [misc]simplify: Extracting #8: cost 4 inf + 3234 * * [misc]simplify: Extracting #9: cost 0 inf + 4482 * [exit]simplify: Simplified to (- (log (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (log (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (exp (- (log (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (log (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 75 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 43 inf + 0 * * [misc]simplify: Extracting #2: cost 124 inf + 0 * * [misc]simplify: Extracting #3: cost 212 inf + 2 * * [misc]simplify: Extracting #4: cost 170 inf + 6585 * * [misc]simplify: Extracting #5: cost 53 inf + 35374 * * [misc]simplify: Extracting #6: cost 7 inf + 51250 * * [misc]simplify: Extracting #7: cost 0 inf + 53712 * [exit]simplify: Simplified to (* (/ (+ (* b d) (* a c)) (+ (* d d) (* c c))) (* (/ (+ (* b d) (* a c)) (+ (* d d) (* c c))) (/ (+ (* b d) (* a c)) (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (cbrt (* (/ (+ (* b d) (* a c)) (+ (* d d) (* c c))) (* (/ (+ (* b d) (* a c)) (+ (* d d) (* c c))) (/ (+ (* b d) (* a c)) (+ (* d d) (* c c))))))) * * * * [misc]progress: [ 78 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (346 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 50 inf + 0 * * [misc]simplify: Extracting #2: cost 120 inf + 1 * * [misc]simplify: Extracting #3: cost 180 inf + 2 * * [misc]simplify: Extracting #4: cost 177 inf + 1118 * * [misc]simplify: Extracting #5: cost 156 inf + 5238 * * [misc]simplify: Extracting #6: cost 92 inf + 25725 * * [misc]simplify: Extracting #7: cost 15 inf + 54651 * * [misc]simplify: Extracting #8: cost 0 inf + 60547 * [exit]simplify: Simplified to (* (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) (* (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (cbrt (* (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) (* (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 79 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 250 * * [misc]simplify: Extracting #7: cost 10 inf + 978 * * [misc]simplify: Extracting #8: cost 8 inf + 1426 * * [misc]simplify: Extracting #9: cost 5 inf + 2798 * * [misc]simplify: Extracting #10: cost 0 inf + 5578 * [exit]simplify: Simplified to (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 0 * * [misc]simplify: Extracting #6: cost 7 inf + 250 * * [misc]simplify: Extracting #7: cost 2 inf + 1144 * * [misc]simplify: Extracting #8: cost 0 inf + 2072 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 84 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 1588 * * [misc]simplify: Extracting #8: cost 3 inf + 2436 * * [misc]simplify: Extracting #9: cost 0 inf + 4168 * [exit]simplify: Simplified to (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 0 * * [misc]simplify: Extracting #6: cost 7 inf + 452 * * [misc]simplify: Extracting #7: cost 2 inf + 1346 * * [misc]simplify: Extracting #8: cost 0 inf + 2314 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 85 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 0 * * [misc]simplify: Extracting #6: cost 10 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 1104 * * [misc]simplify: Extracting #8: cost 0 inf + 3444 * [exit]simplify: Simplified to (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 0 * * [misc]simplify: Extracting #6: cost 7 inf + 250 * * [misc]simplify: Extracting #7: cost 2 inf + 1104 * * [misc]simplify: Extracting #8: cost 0 inf + 1992 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 86 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 7 inf + 251 * * [misc]simplify: Extracting #7: cost 3 inf + 903 * * [misc]simplify: Extracting #8: cost 1 inf + 1751 * * [misc]simplify: Extracting #9: cost 0 inf + 2196 * [exit]simplify: Simplified to (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 0 * * [misc]simplify: Extracting #5: cost 8 inf + 368 * * [misc]simplify: Extracting #6: cost 5 inf + 412 * * [misc]simplify: Extracting #7: cost 2 inf + 902 * * [misc]simplify: Extracting #8: cost 0 inf + 1750 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 87 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 0 * * [misc]simplify: Extracting #6: cost 10 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 1104 * * [misc]simplify: Extracting #8: cost 0 inf + 3444 * [exit]simplify: Simplified to (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 0 * * [misc]simplify: Extracting #6: cost 7 inf + 250 * * [misc]simplify: Extracting #7: cost 2 inf + 1104 * * [misc]simplify: Extracting #8: cost 0 inf + 1992 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 88 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 7 inf + 251 * * [misc]simplify: Extracting #7: cost 3 inf + 903 * * [misc]simplify: Extracting #8: cost 0 inf + 2196 * [exit]simplify: Simplified to (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 0 * * [misc]simplify: Extracting #5: cost 8 inf + 368 * * [misc]simplify: Extracting #6: cost 5 inf + 412 * * [misc]simplify: Extracting #7: cost 2 inf + 902 * * [misc]simplify: Extracting #8: cost 0 inf + 1750 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 89 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 250 * * [misc]simplify: Extracting #7: cost 4 inf + 1144 * * [misc]simplify: Extracting #8: cost 0 inf + 2798 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 0 * * [misc]simplify: Extracting #6: cost 7 inf + 250 * * [misc]simplify: Extracting #7: cost 2 inf + 1144 * * [misc]simplify: Extracting #8: cost 0 inf + 1992 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 90 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 0 * * [misc]simplify: Extracting #6: cost 7 inf + 694 * * [misc]simplify: Extracting #7: cost 2 inf + 1588 * * [misc]simplify: Extracting #8: cost 0 inf + 2476 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 0 * * [misc]simplify: Extracting #6: cost 7 inf + 452 * * [misc]simplify: Extracting #7: cost 2 inf + 1346 * * [misc]simplify: Extracting #8: cost 0 inf + 2234 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 91 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 0 * * [misc]simplify: Extracting #6: cost 7 inf + 250 * * [misc]simplify: Extracting #7: cost 2 inf + 1104 * * [misc]simplify: Extracting #8: cost 0 inf + 1912 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 0 * * [misc]simplify: Extracting #6: cost 7 inf + 250 * * [misc]simplify: Extracting #7: cost 2 inf + 1104 * * [misc]simplify: Extracting #8: cost 0 inf + 1912 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 92 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 251 * * [misc]simplify: Extracting #6: cost 0 inf + 1267 * [exit]simplify: Simplified to (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 0 * * [misc]simplify: Extracting #5: cost 8 inf + 368 * * [misc]simplify: Extracting #6: cost 5 inf + 412 * * [misc]simplify: Extracting #7: cost 2 inf + 902 * * [misc]simplify: Extracting #8: cost 0 inf + 1670 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 93 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 0 * * [misc]simplify: Extracting #6: cost 7 inf + 250 * * [misc]simplify: Extracting #7: cost 2 inf + 1104 * * [misc]simplify: Extracting #8: cost 0 inf + 1912 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 0 * * [misc]simplify: Extracting #6: cost 7 inf + 250 * * [misc]simplify: Extracting #7: cost 2 inf + 1104 * * [misc]simplify: Extracting #8: cost 0 inf + 1912 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 94 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 251 * * [misc]simplify: Extracting #6: cost 1 inf + 903 * * [misc]simplify: Extracting #7: cost 0 inf + 1267 * [exit]simplify: Simplified to (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 0 * * [misc]simplify: Extracting #5: cost 8 inf + 368 * * [misc]simplify: Extracting #6: cost 5 inf + 412 * * [misc]simplify: Extracting #7: cost 2 inf + 902 * * [misc]simplify: Extracting #8: cost 0 inf + 1670 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 95 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 2 * * [misc]simplify: Extracting #4: cost 28 inf + 2 * * [misc]simplify: Extracting #5: cost 22 inf + 89 * * [misc]simplify: Extracting #6: cost 17 inf + 744 * * [misc]simplify: Extracting #7: cost 16 inf + 866 * * [misc]simplify: Extracting #8: cost 14 inf + 1270 * * [misc]simplify: Extracting #9: cost 1 inf + 7278 * * [misc]simplify: Extracting #10: cost 0 inf + 7762 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 87 * * [misc]simplify: Extracting #6: cost 4 inf + 782 * * [misc]simplify: Extracting #7: cost 1 inf + 1790 * * [misc]simplify: Extracting #8: cost 0 inf + 2314 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (+ (* b d) (* a c))))) (/ (cbrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 96 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 26 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 35 inf + 0 * * [misc]simplify: Extracting #5: cost 29 inf + 87 * * [misc]simplify: Extracting #6: cost 20 inf + 1470 * * [misc]simplify: Extracting #7: cost 6 inf + 8320 * * [misc]simplify: Extracting #8: cost 0 inf + 11660 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 1226 * * [misc]simplify: Extracting #7: cost 1 inf + 3080 * * [misc]simplify: Extracting #8: cost 0 inf + 3482 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 97 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 33 inf + 0 * * [misc]simplify: Extracting #5: cost 28 inf + 46 * * [misc]simplify: Extracting #6: cost 19 inf + 1268 * * [misc]simplify: Extracting #7: cost 8 inf + 6226 * * [misc]simplify: Extracting #8: cost 0 inf + 10416 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 12 inf + 87 * * [misc]simplify: Extracting #6: cost 6 inf + 782 * * [misc]simplify: Extracting #7: cost 0 inf + 3040 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 98 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * * [misc]simplify: iters left: 1 (339 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 87 * * [misc]simplify: Extracting #6: cost 13 inf + 293 * * [misc]simplify: Extracting #7: cost 11 inf + 579 * * [misc]simplify: Extracting #8: cost 8 inf + 1307 * * [misc]simplify: Extracting #9: cost 0 inf + 4860 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 782 * * [misc]simplify: Extracting #7: cost 0 inf + 2718 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 99 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 33 inf + 0 * * [misc]simplify: Extracting #5: cost 28 inf + 46 * * [misc]simplify: Extracting #6: cost 19 inf + 1268 * * [misc]simplify: Extracting #7: cost 8 inf + 6226 * * [misc]simplify: Extracting #8: cost 0 inf + 10416 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 12 inf + 87 * * [misc]simplify: Extracting #6: cost 6 inf + 782 * * [misc]simplify: Extracting #7: cost 0 inf + 3040 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 100 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * * [misc]simplify: iters left: 1 (400 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 26 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 88 * * [misc]simplify: Extracting #6: cost 13 inf + 1025 * * [misc]simplify: Extracting #7: cost 7 inf + 3288 * * [misc]simplify: Extracting #8: cost 0 inf + 6958 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 782 * * [misc]simplify: Extracting #7: cost 0 inf + 2718 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 101 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 26 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 35 inf + 0 * * [misc]simplify: Extracting #5: cost 29 inf + 87 * * [misc]simplify: Extracting #6: cost 21 inf + 1228 * * [misc]simplify: Extracting #7: cost 10 inf + 6302 * * [misc]simplify: Extracting #8: cost 2 inf + 10652 * * [misc]simplify: Extracting #9: cost 0 inf + 11700 * * [misc]simplify: Extracting #10: cost 0 inf + 11660 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 1226 * * [misc]simplify: Extracting #7: cost 1 inf + 3080 * * [misc]simplify: Extracting #8: cost 0 inf + 3482 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 102 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 24 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 87 * * [misc]simplify: Extracting #6: cost 6 inf + 3204 * * [misc]simplify: Extracting #7: cost 0 inf + 5866 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 9 inf + 87 * * [misc]simplify: Extracting #6: cost 3 inf + 822 * * [misc]simplify: Extracting #7: cost 0 inf + 1992 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 103 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 12 inf + 1470 * * [misc]simplify: Extracting #7: cost 4 inf + 4898 * * [misc]simplify: Extracting #8: cost 0 inf + 6992 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 1186 * * [misc]simplify: Extracting #7: cost 1 inf + 2960 * * [misc]simplify: Extracting #8: cost 0 inf + 3322 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 104 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 129 * * [misc]simplify: Extracting #6: cost 8 inf + 621 * * [misc]simplify: Extracting #7: cost 2 inf + 2320 * * [misc]simplify: Extracting #8: cost 0 inf + 3288 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 12 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 984 * * [misc]simplify: Extracting #7: cost 0 inf + 3000 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 105 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 12 inf + 1470 * * [misc]simplify: Extracting #7: cost 4 inf + 4898 * * [misc]simplify: Extracting #8: cost 0 inf + 6992 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 1186 * * [misc]simplify: Extracting #7: cost 1 inf + 2960 * * [misc]simplify: Extracting #8: cost 0 inf + 3322 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 106 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 251 * * [misc]simplify: Extracting #6: cost 3 inf + 2036 * * [misc]simplify: Extracting #7: cost 0 inf + 3288 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 12 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 984 * * [misc]simplify: Extracting #7: cost 0 inf + 3000 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 107 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 33 inf + 0 * * [misc]simplify: Extracting #5: cost 27 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 1228 * * [misc]simplify: Extracting #7: cost 8 inf + 6268 * * [misc]simplify: Extracting #8: cost 0 inf + 10416 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 12 inf + 87 * * [misc]simplify: Extracting #6: cost 6 inf + 782 * * [misc]simplify: Extracting #7: cost 0 inf + 3040 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 108 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 8 inf + 2882 * * [misc]simplify: Extracting #7: cost 0 inf + 6992 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (* (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 1226 * * [misc]simplify: Extracting #7: cost 1 inf + 2960 * * [misc]simplify: Extracting #8: cost 0 inf + 3322 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (* (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 109 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 208 * * [misc]simplify: Extracting #6: cost 9 inf + 656 * * [misc]simplify: Extracting #7: cost 4 inf + 2276 * * [misc]simplify: Extracting #8: cost 0 inf + 3852 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 9 inf + 87 * * [misc]simplify: Extracting #6: cost 3 inf + 782 * * [misc]simplify: Extracting #7: cost 0 inf + 1832 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (+ (* b d) (* a c))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 110 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 5 inf + 985 * * [misc]simplify: Extracting #7: cost 1 inf + 2362 * * [misc]simplify: Extracting #8: cost 0 inf + 2846 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 782 * * [misc]simplify: Extracting #7: cost 0 inf + 2558 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 111 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 208 * * [misc]simplify: Extracting #6: cost 9 inf + 656 * * [misc]simplify: Extracting #7: cost 4 inf + 2276 * * [misc]simplify: Extracting #8: cost 0 inf + 3852 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 9 inf + 87 * * [misc]simplify: Extracting #6: cost 3 inf + 782 * * [misc]simplify: Extracting #7: cost 0 inf + 1832 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (+ (* b d) (* a c))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 112 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 5 inf + 1028 * * [misc]simplify: Extracting #7: cost 1 inf + 2402 * * [misc]simplify: Extracting #8: cost 0 inf + 2846 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 782 * * [misc]simplify: Extracting #7: cost 0 inf + 2558 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 113 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 37 inf + 0 * * [misc]simplify: Extracting #2: cost 120 inf + 1 * * [misc]simplify: Extracting #3: cost 127 inf + 1 * * [misc]simplify: Extracting #4: cost 133 inf + 1 * * [misc]simplify: Extracting #5: cost 126 inf + 213 * * [misc]simplify: Extracting #6: cost 96 inf + 6894 * * [misc]simplify: Extracting #7: cost 45 inf + 23745 * * [misc]simplify: Extracting #8: cost 2 inf + 46237 * * [misc]simplify: Extracting #9: cost 0 inf + 47325 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 87 * * [misc]simplify: Extracting #6: cost 3 inf + 1306 * * [misc]simplify: Extracting #7: cost 0 inf + 2718 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 114 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 88 * * [misc]simplify: Extracting #6: cost 6 inf + 1068 * * [misc]simplify: Extracting #7: cost 0 inf + 3288 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (/ (fabs (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (fabs (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 12 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 984 * * [misc]simplify: Extracting #7: cost 0 inf + 3000 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (fabs (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 115 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 26 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 88 * * [misc]simplify: Extracting #6: cost 17 inf + 295 * * [misc]simplify: Extracting #7: cost 8 inf + 2251 * * [misc]simplify: Extracting #8: cost 2 inf + 4153 * * [misc]simplify: Extracting #9: cost 0 inf + 5041 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 87 * * [misc]simplify: Extracting #6: cost 3 inf + 1226 * * [misc]simplify: Extracting #7: cost 0 inf + 2558 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 116 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 47 * * [misc]simplify: Extracting #6: cost 0 inf + 906 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 368 * * [misc]simplify: Extracting #5: cost 5 inf + 412 * * [misc]simplify: Extracting #6: cost 1 inf + 1146 * * [misc]simplify: Extracting #7: cost 0 inf + 1550 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (cbrt (+ (* b d) (* a c))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 117 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 26 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 88 * * [misc]simplify: Extracting #6: cost 17 inf + 295 * * [misc]simplify: Extracting #7: cost 8 inf + 2251 * * [misc]simplify: Extracting #8: cost 2 inf + 4153 * * [misc]simplify: Extracting #9: cost 0 inf + 5041 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 87 * * [misc]simplify: Extracting #6: cost 3 inf + 1226 * * [misc]simplify: Extracting #7: cost 0 inf + 2558 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 118 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 47 * * [misc]simplify: Extracting #6: cost 0 inf + 906 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 368 * * [misc]simplify: Extracting #5: cost 5 inf + 412 * * [misc]simplify: Extracting #6: cost 1 inf + 1146 * * [misc]simplify: Extracting #7: cost 0 inf + 1550 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (cbrt (+ (* b d) (* a c))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 119 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 33 inf + 0 * * [misc]simplify: Extracting #5: cost 27 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 1228 * * [misc]simplify: Extracting #7: cost 8 inf + 6268 * * [misc]simplify: Extracting #8: cost 0 inf + 10416 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 12 inf + 87 * * [misc]simplify: Extracting #6: cost 6 inf + 782 * * [misc]simplify: Extracting #7: cost 0 inf + 3040 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 120 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 8 inf + 2882 * * [misc]simplify: Extracting #7: cost 0 inf + 6992 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (* (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 1226 * * [misc]simplify: Extracting #7: cost 1 inf + 2960 * * [misc]simplify: Extracting #8: cost 0 inf + 3322 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (* (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 121 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 208 * * [misc]simplify: Extracting #6: cost 9 inf + 656 * * [misc]simplify: Extracting #7: cost 4 inf + 2276 * * [misc]simplify: Extracting #8: cost 0 inf + 3852 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 9 inf + 87 * * [misc]simplify: Extracting #6: cost 3 inf + 782 * * [misc]simplify: Extracting #7: cost 0 inf + 1832 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (+ (* b d) (* a c))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 122 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 5 inf + 985 * * [misc]simplify: Extracting #7: cost 1 inf + 2362 * * [misc]simplify: Extracting #8: cost 0 inf + 2846 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 782 * * [misc]simplify: Extracting #7: cost 0 inf + 2558 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 123 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 208 * * [misc]simplify: Extracting #6: cost 9 inf + 656 * * [misc]simplify: Extracting #7: cost 4 inf + 2276 * * [misc]simplify: Extracting #8: cost 0 inf + 3852 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 9 inf + 87 * * [misc]simplify: Extracting #6: cost 3 inf + 782 * * [misc]simplify: Extracting #7: cost 0 inf + 1832 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (+ (* b d) (* a c))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 124 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 5 inf + 1028 * * [misc]simplify: Extracting #7: cost 1 inf + 2402 * * [misc]simplify: Extracting #8: cost 0 inf + 2846 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 782 * * [misc]simplify: Extracting #7: cost 0 inf + 2558 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 125 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (344 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 122 inf + 0 * * [misc]simplify: Extracting #2: cost 249 inf + 1 * * [misc]simplify: Extracting #3: cost 270 inf + 1 * * [misc]simplify: Extracting #4: cost 276 inf + 1 * * [misc]simplify: Extracting #5: cost 234 inf + 8117 * * [misc]simplify: Extracting #6: cost 107 inf + 58766 * * [misc]simplify: Extracting #7: cost 10 inf + 109050 * * [misc]simplify: Extracting #8: cost 0 inf + 114495 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 87 * * [misc]simplify: Extracting #6: cost 3 inf + 1306 * * [misc]simplify: Extracting #7: cost 0 inf + 2718 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 126 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 251 * * [misc]simplify: Extracting #6: cost 4 inf + 1551 * * [misc]simplify: Extracting #7: cost 0 inf + 3288 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 12 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 984 * * [misc]simplify: Extracting #7: cost 0 inf + 3000 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 127 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 6 inf + 783 * * [misc]simplify: Extracting #7: cost 1 inf + 2402 * * [misc]simplify: Extracting #8: cost 0 inf + 2846 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 87 * * [misc]simplify: Extracting #6: cost 3 inf + 1226 * * [misc]simplify: Extracting #7: cost 0 inf + 2558 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 128 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 47 * * [misc]simplify: Extracting #6: cost 4 inf + 89 * * [misc]simplify: Extracting #7: cost 2 inf + 417 * * [misc]simplify: Extracting #8: cost 0 inf + 906 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 368 * * [misc]simplify: Extracting #5: cost 5 inf + 412 * * [misc]simplify: Extracting #6: cost 1 inf + 1146 * * [misc]simplify: Extracting #7: cost 0 inf + 1550 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (cbrt (+ (* b d) (* a c))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 129 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 6 inf + 783 * * [misc]simplify: Extracting #7: cost 1 inf + 2402 * * [misc]simplify: Extracting #8: cost 0 inf + 2846 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 87 * * [misc]simplify: Extracting #6: cost 3 inf + 1226 * * [misc]simplify: Extracting #7: cost 0 inf + 2558 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 130 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 6 inf + 5 * * [misc]simplify: Extracting #6: cost 3 inf + 213 * * [misc]simplify: Extracting #7: cost 0 inf + 906 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 368 * * [misc]simplify: Extracting #5: cost 5 inf + 412 * * [misc]simplify: Extracting #6: cost 1 inf + 1146 * * [misc]simplify: Extracting #7: cost 0 inf + 1550 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (cbrt (+ (* b d) (* a c))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 131 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 2 * * [misc]simplify: Extracting #5: cost 13 inf + 89 * * [misc]simplify: Extracting #6: cost 7 inf + 744 * * [misc]simplify: Extracting #7: cost 1 inf + 2842 * * [misc]simplify: Extracting #8: cost 0 inf + 3326 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 87 * * [misc]simplify: Extracting #6: cost 4 inf + 742 * * [misc]simplify: Extracting #7: cost 1 inf + 1710 * * [misc]simplify: Extracting #8: cost 0 inf + 2194 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 132 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 24 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 87 * * [misc]simplify: Extracting #6: cost 14 inf + 458 * * [misc]simplify: Extracting #7: cost 5 inf + 2798 * * [misc]simplify: Extracting #8: cost 0 inf + 5416 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 1186 * * [misc]simplify: Extracting #7: cost 1 inf + 2920 * * [misc]simplify: Extracting #8: cost 0 inf + 3322 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 133 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 45 * * [misc]simplify: Extracting #6: cost 11 inf + 656 * * [misc]simplify: Extracting #7: cost 7 inf + 1468 * * [misc]simplify: Extracting #8: cost 0 inf + 4572 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 12 inf + 87 * * [misc]simplify: Extracting #6: cost 6 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 2880 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 134 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 88 * * [misc]simplify: Extracting #6: cost 3 inf + 985 * * [misc]simplify: Extracting #7: cost 1 inf + 1711 * * [misc]simplify: Extracting #8: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 2558 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 135 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 45 * * [misc]simplify: Extracting #6: cost 11 inf + 656 * * [misc]simplify: Extracting #7: cost 7 inf + 1468 * * [misc]simplify: Extracting #8: cost 0 inf + 4572 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 12 inf + 87 * * [misc]simplify: Extracting #6: cost 6 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 2880 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 136 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 88 * * [misc]simplify: Extracting #6: cost 4 inf + 743 * * [misc]simplify: Extracting #7: cost 3 inf + 985 * * [misc]simplify: Extracting #8: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 2558 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 137 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 24 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 87 * * [misc]simplify: Extracting #6: cost 14 inf + 458 * * [misc]simplify: Extracting #7: cost 8 inf + 1670 * * [misc]simplify: Extracting #8: cost 2 inf + 4330 * * [misc]simplify: Extracting #9: cost 0 inf + 5416 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 1186 * * [misc]simplify: Extracting #7: cost 1 inf + 2920 * * [misc]simplify: Extracting #8: cost 0 inf + 3322 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 138 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 87 * * [misc]simplify: Extracting #6: cost 3 inf + 1024 * * [misc]simplify: Extracting #7: cost 0 inf + 2154 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 9 inf + 87 * * [misc]simplify: Extracting #6: cost 3 inf + 782 * * [misc]simplify: Extracting #7: cost 0 inf + 1872 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 139 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 14 inf + 87 * * [misc]simplify: Extracting #6: cost 6 inf + 1186 * * [misc]simplify: Extracting #7: cost 3 inf + 2074 * * [misc]simplify: Extracting #8: cost 0 inf + 3404 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 1146 * * [misc]simplify: Extracting #7: cost 1 inf + 2800 * * [misc]simplify: Extracting #8: cost 0 inf + 3162 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 140 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 1025 * * [misc]simplify: Extracting #7: cost 0 inf + 1711 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 12 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 944 * * [misc]simplify: Extracting #7: cost 0 inf + 2840 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 141 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 14 inf + 87 * * [misc]simplify: Extracting #6: cost 6 inf + 1186 * * [misc]simplify: Extracting #7: cost 3 inf + 2074 * * [misc]simplify: Extracting #8: cost 0 inf + 3404 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 1146 * * [misc]simplify: Extracting #7: cost 1 inf + 2800 * * [misc]simplify: Extracting #8: cost 0 inf + 3162 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 142 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 1025 * * [misc]simplify: Extracting #7: cost 0 inf + 1711 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 12 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 944 * * [misc]simplify: Extracting #7: cost 0 inf + 2840 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 143 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 87 * * [misc]simplify: Extracting #6: cost 10 inf + 742 * * [misc]simplify: Extracting #7: cost 5 inf + 2316 * * [misc]simplify: Extracting #8: cost 0 inf + 4572 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 12 inf + 87 * * [misc]simplify: Extracting #6: cost 6 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 2880 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 144 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 14 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 1428 * * [misc]simplify: Extracting #7: cost 2 inf + 2478 * * [misc]simplify: Extracting #8: cost 0 inf + 3404 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 1186 * * [misc]simplify: Extracting #7: cost 1 inf + 2800 * * [misc]simplify: Extracting #8: cost 0 inf + 3162 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 145 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 9 inf + 87 * * [misc]simplify: Extracting #6: cost 3 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 1712 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 9 inf + 87 * * [misc]simplify: Extracting #6: cost 3 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 1712 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 146 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 743 * * [misc]simplify: Extracting #7: cost 0 inf + 1349 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 2398 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 147 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 9 inf + 87 * * [misc]simplify: Extracting #6: cost 3 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 1712 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 9 inf + 87 * * [misc]simplify: Extracting #6: cost 3 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 1712 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 148 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 743 * * [misc]simplify: Extracting #7: cost 0 inf + 1349 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 2398 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 149 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 251 * * [misc]simplify: Extracting #6: cost 3 inf + 985 * * [misc]simplify: Extracting #7: cost 1 inf + 1711 * * [misc]simplify: Extracting #8: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 87 * * [misc]simplify: Extracting #6: cost 3 inf + 1266 * * [misc]simplify: Extracting #7: cost 0 inf + 2558 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 150 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 251 * * [misc]simplify: Extracting #6: cost 1 inf + 1267 * * [misc]simplify: Extracting #7: cost 0 inf + 1711 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 12 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 944 * * [misc]simplify: Extracting #7: cost 0 inf + 2840 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 151 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 6 inf + 251 * * [misc]simplify: Extracting #6: cost 2 inf + 743 * * [misc]simplify: Extracting #7: cost 0 inf + 1349 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 87 * * [misc]simplify: Extracting #6: cost 3 inf + 1186 * * [misc]simplify: Extracting #7: cost 0 inf + 2398 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 152 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 47 * * [misc]simplify: Extracting #5: cost 0 inf + 377 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 368 * * [misc]simplify: Extracting #5: cost 5 inf + 412 * * [misc]simplify: Extracting #6: cost 1 inf + 1066 * * [misc]simplify: Extracting #7: cost 0 inf + 1430 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (sqrt (+ (* b d) (* a c))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 153 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 6 inf + 251 * * [misc]simplify: Extracting #6: cost 2 inf + 743 * * [misc]simplify: Extracting #7: cost 0 inf + 1349 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 87 * * [misc]simplify: Extracting #6: cost 3 inf + 1186 * * [misc]simplify: Extracting #7: cost 0 inf + 2398 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 154 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 47 * * [misc]simplify: Extracting #5: cost 0 inf + 377 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 368 * * [misc]simplify: Extracting #5: cost 5 inf + 412 * * [misc]simplify: Extracting #6: cost 1 inf + 1066 * * [misc]simplify: Extracting #7: cost 0 inf + 1430 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (sqrt (+ (* b d) (* a c))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 155 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 87 * * [misc]simplify: Extracting #6: cost 10 inf + 742 * * [misc]simplify: Extracting #7: cost 5 inf + 2316 * * [misc]simplify: Extracting #8: cost 0 inf + 4572 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 12 inf + 87 * * [misc]simplify: Extracting #6: cost 6 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 2880 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 156 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 14 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 1428 * * [misc]simplify: Extracting #7: cost 2 inf + 2478 * * [misc]simplify: Extracting #8: cost 0 inf + 3404 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 1186 * * [misc]simplify: Extracting #7: cost 1 inf + 2800 * * [misc]simplify: Extracting #8: cost 0 inf + 3162 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 157 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 9 inf + 87 * * [misc]simplify: Extracting #6: cost 3 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 1712 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 9 inf + 87 * * [misc]simplify: Extracting #6: cost 3 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 1712 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 158 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 743 * * [misc]simplify: Extracting #7: cost 0 inf + 1349 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 2398 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 159 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 9 inf + 87 * * [misc]simplify: Extracting #6: cost 3 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 1712 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 9 inf + 87 * * [misc]simplify: Extracting #6: cost 3 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 1712 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 160 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 743 * * [misc]simplify: Extracting #7: cost 0 inf + 1349 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 2398 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 161 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) 1) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 88 * * [misc]simplify: Extracting #6: cost 4 inf + 743 * * [misc]simplify: Extracting #7: cost 3 inf + 985 * * [misc]simplify: Extracting #8: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 87 * * [misc]simplify: Extracting #6: cost 3 inf + 1266 * * [misc]simplify: Extracting #7: cost 0 inf + 2558 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 162 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 1025 * * [misc]simplify: Extracting #7: cost 0 inf + 1711 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 12 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 944 * * [misc]simplify: Extracting #7: cost 0 inf + 2840 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 163 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 743 * * [misc]simplify: Extracting #7: cost 0 inf + 1349 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 87 * * [misc]simplify: Extracting #6: cost 3 inf + 1186 * * [misc]simplify: Extracting #7: cost 0 inf + 2398 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 164 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 47 * * [misc]simplify: Extracting #5: cost 0 inf + 377 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 368 * * [misc]simplify: Extracting #5: cost 5 inf + 412 * * [misc]simplify: Extracting #6: cost 1 inf + 1066 * * [misc]simplify: Extracting #7: cost 0 inf + 1430 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (sqrt (+ (* b d) (* a c))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 165 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 743 * * [misc]simplify: Extracting #7: cost 0 inf + 1349 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 87 * * [misc]simplify: Extracting #6: cost 3 inf + 1186 * * [misc]simplify: Extracting #7: cost 0 inf + 2398 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 166 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) 1) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 47 * * [misc]simplify: Extracting #5: cost 0 inf + 377 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 368 * * [misc]simplify: Extracting #5: cost 5 inf + 412 * * [misc]simplify: Extracting #6: cost 1 inf + 1066 * * [misc]simplify: Extracting #7: cost 0 inf + 1430 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (sqrt (+ (* b d) (* a c))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 167 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 2 * * [misc]simplify: Extracting #4: cost 11 inf + 3 * * [misc]simplify: Extracting #5: cost 13 inf + 3 * * [misc]simplify: Extracting #6: cost 11 inf + 5 * * [misc]simplify: Extracting #7: cost 4 inf + 1099 * * [misc]simplify: Extracting #8: cost 0 inf + 2309 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 10 inf + 46 * * [misc]simplify: Extracting #5: cost 5 inf + 416 * * [misc]simplify: Extracting #6: cost 3 inf + 820 * * [misc]simplify: Extracting #7: cost 0 inf + 1950 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 168 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 3 * * [misc]simplify: Extracting #7: cost 13 inf + 207 * * [misc]simplify: Extracting #8: cost 6 inf + 2023 * * [misc]simplify: Extracting #9: cost 1 inf + 3796 * * [misc]simplify: Extracting #10: cost 0 inf + 4238 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 46 * * [misc]simplify: Extracting #5: cost 7 inf + 618 * * [misc]simplify: Extracting #6: cost 2 inf + 2232 * * [misc]simplify: Extracting #7: cost 0 inf + 3038 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 169 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 3 * * [misc]simplify: Extracting #7: cost 11 inf + 207 * * [misc]simplify: Extracting #8: cost 8 inf + 813 * * [misc]simplify: Extracting #9: cost 0 inf + 3394 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 46 * * [misc]simplify: Extracting #5: cost 7 inf + 416 * * [misc]simplify: Extracting #6: cost 3 inf + 1344 * * [misc]simplify: Extracting #7: cost 0 inf + 2596 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 170 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 8 inf + 3 * * [misc]simplify: Extracting #7: cost 4 inf + 369 * * [misc]simplify: Extracting #8: cost 1 inf + 1176 * * [misc]simplify: Extracting #9: cost 0 inf + 1499 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 250 * * [misc]simplify: Extracting #5: cost 2 inf + 1588 * * [misc]simplify: Extracting #6: cost 0 inf + 2274 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 171 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 3 * * [misc]simplify: Extracting #7: cost 11 inf + 207 * * [misc]simplify: Extracting #8: cost 8 inf + 813 * * [misc]simplify: Extracting #9: cost 0 inf + 3394 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 46 * * [misc]simplify: Extracting #5: cost 7 inf + 416 * * [misc]simplify: Extracting #6: cost 3 inf + 1344 * * [misc]simplify: Extracting #7: cost 0 inf + 2596 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 172 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 6 inf + 85 * * [misc]simplify: Extracting #7: cost 4 inf + 369 * * [misc]simplify: Extracting #8: cost 1 inf + 1176 * * [misc]simplify: Extracting #9: cost 0 inf + 1499 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 250 * * [misc]simplify: Extracting #5: cost 2 inf + 1588 * * [misc]simplify: Extracting #6: cost 0 inf + 2274 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 173 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 3 * * [misc]simplify: Extracting #7: cost 13 inf + 207 * * [misc]simplify: Extracting #8: cost 6 inf + 1863 * * [misc]simplify: Extracting #9: cost 1 inf + 3796 * * [misc]simplify: Extracting #10: cost 0 inf + 4238 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 46 * * [misc]simplify: Extracting #5: cost 7 inf + 578 * * [misc]simplify: Extracting #6: cost 2 inf + 2232 * * [misc]simplify: Extracting #7: cost 0 inf + 3038 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 174 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 1499 * * [misc]simplify: Extracting #7: cost 0 inf + 1459 * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 250 * * [misc]simplify: Extracting #5: cost 1 inf + 1224 * * [misc]simplify: Extracting #6: cost 0 inf + 1628 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 175 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 3 * * [misc]simplify: Extracting #7: cost 9 inf + 207 * * [misc]simplify: Extracting #8: cost 3 inf + 1540 * * [misc]simplify: Extracting #9: cost 0 inf + 2548 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 46 * * [misc]simplify: Extracting #5: cost 7 inf + 578 * * [misc]simplify: Extracting #6: cost 2 inf + 2112 * * [misc]simplify: Extracting #7: cost 0 inf + 2878 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 176 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 1176 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 412 * * [misc]simplify: Extracting #5: cost 3 inf + 1344 * * [misc]simplify: Extracting #6: cost 0 inf + 2556 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 177 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 3 * * [misc]simplify: Extracting #7: cost 9 inf + 207 * * [misc]simplify: Extracting #8: cost 3 inf + 1540 * * [misc]simplify: Extracting #9: cost 0 inf + 2548 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 46 * * [misc]simplify: Extracting #5: cost 7 inf + 578 * * [misc]simplify: Extracting #6: cost 2 inf + 2112 * * [misc]simplify: Extracting #7: cost 0 inf + 2878 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 178 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 1176 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 412 * * [misc]simplify: Extracting #5: cost 3 inf + 1344 * * [misc]simplify: Extracting #6: cost 0 inf + 2556 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 179 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 3 * * [misc]simplify: Extracting #7: cost 11 inf + 207 * * [misc]simplify: Extracting #8: cost 8 inf + 813 * * [misc]simplify: Extracting #9: cost 1 inf + 3071 * * [misc]simplify: Extracting #10: cost 0 inf + 3394 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 46 * * [misc]simplify: Extracting #5: cost 7 inf + 416 * * [misc]simplify: Extracting #6: cost 3 inf + 1344 * * [misc]simplify: Extracting #7: cost 0 inf + 2596 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 180 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 651 * * [misc]simplify: Extracting #8: cost 3 inf + 1540 * * [misc]simplify: Extracting #9: cost 0 inf + 2548 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 46 * * [misc]simplify: Extracting #5: cost 7 inf + 618 * * [misc]simplify: Extracting #6: cost 2 inf + 2152 * * [misc]simplify: Extracting #7: cost 0 inf + 2878 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 181 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 3 inf + 369 * * [misc]simplify: Extracting #6: cost 0 inf + 1017 * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 250 * * [misc]simplify: Extracting #5: cost 1 inf + 1104 * * [misc]simplify: Extracting #6: cost 0 inf + 1468 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 182 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 1 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 250 * * [misc]simplify: Extracting #5: cost 2 inf + 1508 * * [misc]simplify: Extracting #6: cost 0 inf + 2114 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 183 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 3 inf + 369 * * [misc]simplify: Extracting #6: cost 0 inf + 1017 * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 250 * * [misc]simplify: Extracting #5: cost 1 inf + 1104 * * [misc]simplify: Extracting #6: cost 0 inf + 1468 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 184 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 1 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 250 * * [misc]simplify: Extracting #5: cost 2 inf + 1508 * * [misc]simplify: Extracting #6: cost 0 inf + 2114 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 185 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 7 inf + 44 * * [misc]simplify: Extracting #7: cost 4 inf + 369 * * [misc]simplify: Extracting #8: cost 1 inf + 1176 * * [misc]simplify: Extracting #9: cost 0 inf + 1499 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 250 * * [misc]simplify: Extracting #5: cost 0 inf + 2274 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 186 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 1176 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 250 * * [misc]simplify: Extracting #5: cost 2 inf + 1668 * * [misc]simplify: Extracting #6: cost 0 inf + 2556 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (+ (* c c) (* d d))) (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* d d) (* c c))))) (/ (+ (* b d) (* a c)) (* (sqrt (+ (* c c) (* d d))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 187 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 1 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 250 * * [misc]simplify: Extracting #5: cost 0 inf + 2114 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 188 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 250 * * [misc]simplify: Extracting #5: cost 0 inf + 1186 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 189 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 1 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 250 * * [misc]simplify: Extracting #5: cost 0 inf + 2114 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 190 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) 1) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 250 * * [misc]simplify: Extracting #5: cost 0 inf + 1186 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 191 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 3 * * [misc]simplify: Extracting #7: cost 11 inf + 207 * * [misc]simplify: Extracting #8: cost 8 inf + 813 * * [misc]simplify: Extracting #9: cost 1 inf + 3071 * * [misc]simplify: Extracting #10: cost 0 inf + 3394 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 46 * * [misc]simplify: Extracting #5: cost 7 inf + 416 * * [misc]simplify: Extracting #6: cost 3 inf + 1344 * * [misc]simplify: Extracting #7: cost 0 inf + 2596 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 192 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 651 * * [misc]simplify: Extracting #8: cost 3 inf + 1540 * * [misc]simplify: Extracting #9: cost 0 inf + 2548 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 46 * * [misc]simplify: Extracting #5: cost 7 inf + 618 * * [misc]simplify: Extracting #6: cost 2 inf + 2152 * * [misc]simplify: Extracting #7: cost 0 inf + 2878 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 193 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 3 inf + 369 * * [misc]simplify: Extracting #6: cost 0 inf + 1017 * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 250 * * [misc]simplify: Extracting #5: cost 1 inf + 1104 * * [misc]simplify: Extracting #6: cost 0 inf + 1468 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 194 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 1 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 250 * * [misc]simplify: Extracting #5: cost 2 inf + 1508 * * [misc]simplify: Extracting #6: cost 0 inf + 2114 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 195 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 3 inf + 369 * * [misc]simplify: Extracting #6: cost 0 inf + 1017 * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 250 * * [misc]simplify: Extracting #5: cost 1 inf + 1104 * * [misc]simplify: Extracting #6: cost 0 inf + 1468 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 196 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 1 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 250 * * [misc]simplify: Extracting #5: cost 2 inf + 1508 * * [misc]simplify: Extracting #6: cost 0 inf + 2114 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 197 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 1499 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 250 * * [misc]simplify: Extracting #5: cost 0 inf + 2274 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 198 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 1176 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 250 * * [misc]simplify: Extracting #5: cost 2 inf + 1668 * * [misc]simplify: Extracting #6: cost 0 inf + 2556 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (+ (* c c) (* d d))) (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (* (sqrt (+ (* c c) (* d d))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 199 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 250 * * [misc]simplify: Extracting #5: cost 0 inf + 2114 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 200 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 250 * * [misc]simplify: Extracting #5: cost 0 inf + 1186 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 201 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 250 * * [misc]simplify: Extracting #5: cost 0 inf + 2114 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 202 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 250 * * [misc]simplify: Extracting #5: cost 0 inf + 1186 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 203 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 1499 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 250 * * [misc]simplify: Extracting #5: cost 0 inf + 2274 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 204 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 1176 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 250 * * [misc]simplify: Extracting #5: cost 2 inf + 1668 * * [misc]simplify: Extracting #6: cost 0 inf + 2556 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (+ (* c c) (* d d))) (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (* (sqrt (+ (* c c) (* d d))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 205 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 250 * * [misc]simplify: Extracting #5: cost 0 inf + 2114 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 206 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 250 * * [misc]simplify: Extracting #5: cost 0 inf + 1186 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 207 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 250 * * [misc]simplify: Extracting #5: cost 0 inf + 2114 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 208 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 250 * * [misc]simplify: Extracting #5: cost 0 inf + 1186 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 209 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 10 inf + 46 * * [misc]simplify: Extracting #5: cost 5 inf + 416 * * [misc]simplify: Extracting #6: cost 3 inf + 820 * * [misc]simplify: Extracting #7: cost 0 inf + 1950 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 1702 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 210 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 46 * * [misc]simplify: Extracting #5: cost 4 inf + 416 * * [misc]simplify: Extracting #6: cost 0 inf + 1506 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 3 * * [misc]simplify: Extracting #6: cost 7 inf + 207 * * [misc]simplify: Extracting #7: cost 2 inf + 1338 * * [misc]simplify: Extracting #8: cost 0 inf + 1984 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 211 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 46 * * [misc]simplify: Extracting #5: cost 3 inf + 416 * * [misc]simplify: Extracting #6: cost 1 inf + 780 * * [misc]simplify: Extracting #7: cost 0 inf + 1144 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 1542 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 212 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 47 * * [misc]simplify: Extracting #4: cost 0 inf + 213 * [exit]simplify: Simplified to (+ (* b d) (* a c)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (+ (* b d) (* a c)) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 735 * [exit]simplify: Simplified to (/ 1 (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (+ (* b d) (* a c)) (/ 1 (+ (* c c) (* d d))))) * * * * [misc]progress: [ 213 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 46 * * [misc]simplify: Extracting #5: cost 3 inf + 416 * * [misc]simplify: Extracting #6: cost 1 inf + 780 * * [misc]simplify: Extracting #7: cost 0 inf + 1144 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 1542 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 214 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 47 * * [misc]simplify: Extracting #4: cost 0 inf + 213 * [exit]simplify: Simplified to (+ (* b d) (* a c)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (+ (* b d) (* a c)) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 735 * [exit]simplify: Simplified to (/ 1 (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (+ (* b d) (* a c)) (/ 1 (+ (* c c) (* d d))))) * * * * [misc]progress: [ 215 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 4 * * [misc]simplify: Extracting #5: cost 16 inf + 1062 * * [misc]simplify: Extracting #6: cost 7 inf + 2640 * * [misc]simplify: Extracting #7: cost 1 inf + 5618 * * [misc]simplify: Extracting #8: cost 0 inf + 6342 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* (* c c) (* c c)) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* (* c c) (* c c)) (* c c))))) (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 103 inf + 0 * * [misc]simplify: Extracting #5: cost 92 inf + 2924 * * [misc]simplify: Extracting #6: cost 7 inf + 16649 * * [misc]simplify: Extracting #7: cost 0 inf + 17743 * * [misc]simplify: Extracting #8: cost 0 inf + 17663 * [exit]simplify: Simplified to (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 216 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 24 inf + 46 * * [misc]simplify: Extracting #5: cost 12 inf + 1186 * * [misc]simplify: Extracting #6: cost 3 inf + 2922 * * [misc]simplify: Extracting #7: cost 0 inf + 4612 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 103 inf + 0 * * [misc]simplify: Extracting #5: cost 92 inf + 2924 * * [misc]simplify: Extracting #6: cost 7 inf + 16689 * * [misc]simplify: Extracting #7: cost 0 inf + 17783 * * [misc]simplify: Extracting #8: cost 0 inf + 17703 * [exit]simplify: Simplified to (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 217 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 46 * * [misc]simplify: Extracting #5: cost 13 inf + 1115 * * [misc]simplify: Extracting #6: cost 4 inf + 2458 * * [misc]simplify: Extracting #7: cost 0 inf + 4563 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* c (* c c)) (* c (* c c)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* c (* c c)) (* c (* c c)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 103 inf + 0 * * [misc]simplify: Extracting #5: cost 92 inf + 2924 * * [misc]simplify: Extracting #6: cost 7 inf + 16569 * * [misc]simplify: Extracting #7: cost 0 inf + 17663 * * [misc]simplify: Extracting #8: cost 0 inf + 17583 * [exit]simplify: Simplified to (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 218 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 47 * * [misc]simplify: Extracting #5: cost 8 inf + 782 * * [misc]simplify: Extracting #6: cost 2 inf + 1389 * * [misc]simplify: Extracting #7: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 102 inf + 0 * * [misc]simplify: Extracting #5: cost 96 inf + 2516 * * [misc]simplify: Extracting #6: cost 23 inf + 13535 * * [misc]simplify: Extracting #7: cost 0 inf + 17221 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt 1)) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 219 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 46 * * [misc]simplify: Extracting #5: cost 13 inf + 1115 * * [misc]simplify: Extracting #6: cost 4 inf + 2458 * * [misc]simplify: Extracting #7: cost 0 inf + 4563 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* c (* c c)) (* c (* c c)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* c (* c c)) (* c (* c c)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 103 inf + 0 * * [misc]simplify: Extracting #5: cost 92 inf + 2924 * * [misc]simplify: Extracting #6: cost 7 inf + 16569 * * [misc]simplify: Extracting #7: cost 0 inf + 17663 * * [misc]simplify: Extracting #8: cost 0 inf + 17583 * [exit]simplify: Simplified to (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 220 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 47 * * [misc]simplify: Extracting #5: cost 9 inf + 1265 * * [misc]simplify: Extracting #6: cost 1 inf + 2467 * * [misc]simplify: Extracting #7: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* c (* c c)) (* c (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* c (* c c)) (* c (* c c)))))) (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 102 inf + 0 * * [misc]simplify: Extracting #5: cost 96 inf + 2516 * * [misc]simplify: Extracting #6: cost 23 inf + 13535 * * [misc]simplify: Extracting #7: cost 0 inf + 17221 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) 1) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 221 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 65 inf + 0 * * [misc]simplify: Extracting #4: cost 127 inf + 88 * * [misc]simplify: Extracting #5: cost 127 inf + 1678 * * [misc]simplify: Extracting #6: cost 31 inf + 18988 * * [misc]simplify: Extracting #7: cost 0 inf + 27616 * * [misc]simplify: Extracting #8: cost 0 inf + 27576 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 44 inf + 0 * * [misc]simplify: Extracting #5: cost 37 inf + 328 * * [misc]simplify: Extracting #6: cost 5 inf + 4631 * * [misc]simplify: Extracting #7: cost 0 inf + 5241 * [exit]simplify: Simplified to (/ (sqrt (* (+ c d) (- c d))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (* (+ c d) (- c d))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 222 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 62 inf + 0 * * [misc]simplify: Extracting #4: cost 125 inf + 46 * * [misc]simplify: Extracting #5: cost 127 inf + 1192 * * [misc]simplify: Extracting #6: cost 34 inf + 18978 * * [misc]simplify: Extracting #7: cost 0 inf + 25966 * * [misc]simplify: Extracting #8: cost 0 inf + 25926 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 44 inf + 0 * * [misc]simplify: Extracting #5: cost 37 inf + 328 * * [misc]simplify: Extracting #6: cost 5 inf + 4671 * * [misc]simplify: Extracting #7: cost 0 inf + 5281 * [exit]simplify: Simplified to (/ (sqrt (* (+ c d) (- c d))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (sqrt (* (+ c d) (- c d))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 223 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 61 inf + 0 * * [misc]simplify: Extracting #4: cost 124 inf + 46 * * [misc]simplify: Extracting #5: cost 121 inf + 1921 * * [misc]simplify: Extracting #6: cost 26 inf + 18510 * * [misc]simplify: Extracting #7: cost 0 inf + 25564 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 44 inf + 0 * * [misc]simplify: Extracting #5: cost 37 inf + 328 * * [misc]simplify: Extracting #6: cost 5 inf + 4551 * * [misc]simplify: Extracting #7: cost 0 inf + 5161 * [exit]simplify: Simplified to (/ (sqrt (* (+ c d) (- c d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (* (+ c d) (- c d))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 224 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 56 inf + 1 * * [misc]simplify: Extracting #4: cost 119 inf + 47 * * [misc]simplify: Extracting #5: cost 117 inf + 1761 * * [misc]simplify: Extracting #6: cost 30 inf + 16691 * * [misc]simplify: Extracting #7: cost 0 inf + 23871 * * [misc]simplify: Extracting #8: cost 0 inf + 23791 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 42 inf + 0 * * [misc]simplify: Extracting #5: cost 32 inf + 493 * * [misc]simplify: Extracting #6: cost 4 inf + 3989 * * [misc]simplify: Extracting #7: cost 0 inf + 4637 * [exit]simplify: Simplified to (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 225 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 61 inf + 0 * * [misc]simplify: Extracting #4: cost 124 inf + 46 * * [misc]simplify: Extracting #5: cost 121 inf + 1921 * * [misc]simplify: Extracting #6: cost 26 inf + 18510 * * [misc]simplify: Extracting #7: cost 0 inf + 25564 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 44 inf + 0 * * [misc]simplify: Extracting #5: cost 37 inf + 328 * * [misc]simplify: Extracting #6: cost 5 inf + 4551 * * [misc]simplify: Extracting #7: cost 0 inf + 5161 * [exit]simplify: Simplified to (/ (sqrt (* (+ c d) (- c d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (* (+ c d) (- c d))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 226 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 56 inf + 1 * * [misc]simplify: Extracting #4: cost 119 inf + 47 * * [misc]simplify: Extracting #5: cost 115 inf + 1923 * * [misc]simplify: Extracting #6: cost 30 inf + 16611 * * [misc]simplify: Extracting #7: cost 2 inf + 23467 * * [misc]simplify: Extracting #8: cost 0 inf + 23871 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 42 inf + 0 * * [misc]simplify: Extracting #5: cost 32 inf + 493 * * [misc]simplify: Extracting #6: cost 4 inf + 3989 * * [misc]simplify: Extracting #7: cost 0 inf + 4637 * [exit]simplify: Simplified to (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 227 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 228 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 229 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 230 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 0 * * [misc]simplify: Extracting #5: cost 4 inf + 43 * * [misc]simplify: Extracting #6: cost 0 inf + 610 * [exit]simplify: Simplified to (cbrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 231 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 0 * * [misc]simplify: Extracting #5: cost 4 inf + 43 * * [misc]simplify: Extracting #6: cost 0 inf + 650 * [exit]simplify: Simplified to (sqrt (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 232 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 0 * * [misc]simplify: Extracting #5: cost 4 inf + 43 * * [misc]simplify: Extracting #6: cost 0 inf + 570 * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 233 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 43 * * [misc]simplify: Extracting #5: cost 0 inf + 368 * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt 1)) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 234 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 0 * * [misc]simplify: Extracting #5: cost 4 inf + 43 * * [misc]simplify: Extracting #6: cost 0 inf + 570 * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 235 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 43 * * [misc]simplify: Extracting #5: cost 0 inf + 368 * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) 1) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 236 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 0 * * [misc]simplify: Extracting #5: cost 14 inf + 0 * * [misc]simplify: Extracting #6: cost 6 inf + 250 * * [misc]simplify: Extracting #7: cost 2 inf + 902 * * [misc]simplify: Extracting #8: cost 0 inf + 1750 * [exit]simplify: Simplified to (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 237 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 5 inf + 250 * * [misc]simplify: Extracting #6: cost 1 inf + 902 * * [misc]simplify: Extracting #7: cost 0 inf + 1266 * [exit]simplify: Simplified to (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 238 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 14 inf + 208 * * [misc]simplify: Extracting #6: cost 10 inf + 696 * * [misc]simplify: Extracting #7: cost 6 inf + 1790 * * [misc]simplify: Extracting #8: cost 0 inf + 4614 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 239 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 4 inf + 1306 * * [misc]simplify: Extracting #7: cost 0 inf + 3042 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 240 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 9 inf + 250 * * [misc]simplify: Extracting #6: cost 3 inf + 1428 * * [misc]simplify: Extracting #7: cost 0 inf + 2600 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 241 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 6 inf + 5 * * [misc]simplify: Extracting #6: cost 3 inf + 213 * * [misc]simplify: Extracting #7: cost 0 inf + 906 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 242 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 9 inf + 250 * * [misc]simplify: Extracting #6: cost 3 inf + 1428 * * [misc]simplify: Extracting #7: cost 0 inf + 2600 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 243 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 47 * * [misc]simplify: Extracting #6: cost 4 inf + 89 * * [misc]simplify: Extracting #7: cost 3 inf + 213 * * [misc]simplify: Extracting #8: cost 0 inf + 906 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 244 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 87 * * [misc]simplify: Extracting #6: cost 4 inf + 742 * * [misc]simplify: Extracting #7: cost 1 inf + 1710 * * [misc]simplify: Extracting #8: cost 0 inf + 2194 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 245 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 9 inf + 87 * * [misc]simplify: Extracting #6: cost 2 inf + 1024 * * [misc]simplify: Extracting #7: cost 0 inf + 1710 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 246 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 8 inf + 87 * * [misc]simplify: Extracting #6: cost 2 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 1348 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 247 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 47 * * [misc]simplify: Extracting #5: cost 0 inf + 377 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (sqrt (+ (* b d) (* a c))) (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 248 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 8 inf + 87 * * [misc]simplify: Extracting #6: cost 2 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 1348 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 249 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* a c) (* b d))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 47 * * [misc]simplify: Extracting #5: cost 0 inf + 377 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (sqrt (+ (* b d) (* a c))) (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 250 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 1499 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 251 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 1176 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 252 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 253 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ 1 (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 254 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 255 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ 1 (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 256 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 257 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a c) (* b d)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 46 * * [misc]simplify: Extracting #4: cost 0 inf + 212 * [exit]simplify: Simplified to (+ (* b d) (* a c)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (+ (* b d) (* a c)) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 258 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 46 * * [misc]simplify: Extracting #5: cost 10 inf + 801 * * [misc]simplify: Extracting #6: cost 1 inf + 2163 * * [misc]simplify: Extracting #7: cost 0 inf + 2375 * * [misc]simplify: Extracting #8: cost 0 inf + 2194 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* c (* c c)) (* c (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* c (* c c)) (* c (* c c)))))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))))) * * * * [misc]progress: [ 259 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 56 inf + 0 * * [misc]simplify: Extracting #4: cost 119 inf + 46 * * [misc]simplify: Extracting #5: cost 124 inf + 787 * * [misc]simplify: Extracting #6: cost 37 inf + 14996 * * [misc]simplify: Extracting #7: cost 2 inf + 23386 * * [misc]simplify: Extracting #8: cost 0 inf + 23870 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (- (* c c) (* d d)))))) * * * * [misc]progress: [ 260 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 100 inf + 0 * * [misc]simplify: Extracting #4: cost 97 inf + 2191 * * [misc]simplify: Extracting #5: cost 25 inf + 14891 * * [misc]simplify: Extracting #6: cost 1 inf + 16859 * * [misc]simplify: Extracting #7: cost 0 inf + 16901 * [exit]simplify: Simplified to (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c)))))) * * * * [misc]progress: [ 261 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 30 inf + 0 * * [misc]simplify: Extracting #3: cost 34 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 288 * * [misc]simplify: Extracting #5: cost 9 inf + 2724 * * [misc]simplify: Extracting #6: cost 0 inf + 4302 * [exit]simplify: Simplified to (sqrt (- (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (- (* c c) (* d d))))) * * * * [misc]progress: [ 262 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a c) (* b d)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 46 * * [misc]simplify: Extracting #4: cost 0 inf + 212 * [exit]simplify: Simplified to (+ (* b d) (* a c)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (+ (* b d) (* a c)) (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 263 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying d * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to d * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) d)) * * * * [misc]progress: [ 264 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying c * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to c * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) c)) * * * * [misc]progress: [ 265 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 c) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 0 inf + 43 * [exit]simplify: Simplified to (- c) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (- c))) * * * * [misc]progress: [ 266 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying d * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to d * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) d) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 267 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying c * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to c * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) c) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 268 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 c) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 0 inf + 43 * [exit]simplify: Simplified to (- c) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (- c)) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 269 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying b * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to b * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 270 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying a * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to a * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ a (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 271 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 0 inf + 43 * [exit]simplify: Simplified to (- a) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (- a) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 272 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b c d) 0) * * * * [misc]progress: [ 273 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b c d) 0) * * * * [misc]progress: [ 274 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b c d) 0) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) * [misc]taylor: Taking taylor expansion of (/ 1/2 d) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* d 1)) into d * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) * [misc]taylor: Taking taylor expansion of (/ 1/2 d) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* d 1)) into d * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) * [misc]taylor: Taking taylor expansion of (/ 1/2 d) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* d 1)) into d * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) in d * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) in d * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in d * [misc]taylor: Taking taylor expansion of (* a c) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (* b 0) into 0 * [misc]backup-simplify: Simplify (+ (* a c) 0) into (* a c) * [misc]backup-simplify: Simplify (/ (* a c) c) into a * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* c c) (* d d)))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt c) into (sqrt c) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt c))) into 0 * [misc]backup-simplify: Simplify (/ a (sqrt c)) into (* a (sqrt (/ 1 c))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* c c) (* d d)))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt c) into (sqrt c) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt c))) into 0 * [misc]backup-simplify: Simplify (/ (* a (sqrt (/ 1 c))) (sqrt c)) into (/ a c) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) in b * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) in b * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in b * [misc]taylor: Taking taylor expansion of (* a c) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in b * [misc]taylor: Taking taylor expansion of (* c c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* a c) 0) into (* a c) * [misc]backup-simplify: Simplify (/ (* a c) (sqrt (+ (pow c 2) (pow d 2)))) into (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* c c) (* d d)))) in b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in b * [misc]taylor: Taking taylor expansion of (* c c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (pow c 2) (pow d 2)))) into (pow (+ (pow c 2) (pow d 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow c 2) (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (pow (+ (pow c 2) (pow d 2)) 1/4)) into (* (* a c) (pow (/ 1 (pow (+ (pow c 2) (pow d 2)) 3)) 1/4)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* c c) (* d d)))) in b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in b * [misc]taylor: Taking taylor expansion of (* c c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (pow c 2) (pow d 2)))) into (pow (+ (pow c 2) (pow d 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow c 2) (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (* (* a c) (pow (/ 1 (pow (+ (pow c 2) (pow d 2)) 3)) 1/4)) (pow (+ (pow c 2) (pow d 2)) 1/4)) into (/ (* a c) (+ (pow c 2) (pow d 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) in c * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) in c * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in c * [misc]taylor: Taking taylor expansion of (* a c) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (+ 0 (* b d)) into (* b d) * [misc]backup-simplify: Simplify (/ (* b d) d) into b * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* c c) (* d d)))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt d) into (sqrt d) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt d))) into 0 * [misc]backup-simplify: Simplify (/ b (sqrt d)) into (* b (sqrt (/ 1 d))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* c c) (* d d)))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt d) into (sqrt d) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt d))) into 0 * [misc]backup-simplify: Simplify (/ (* b (sqrt (/ 1 d))) (sqrt d)) into (/ b d) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) in a * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) in a * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in a * [misc]taylor: Taking taylor expansion of (* a c) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in a * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in a * [misc]taylor: Taking taylor expansion of (* c c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (+ 0 (* b d)) into (* b d) * [misc]backup-simplify: Simplify (/ (* b d) (sqrt (+ (pow c 2) (pow d 2)))) into (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* c c) (* d d)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in a * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in a * [misc]taylor: Taking taylor expansion of (* c c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (pow c 2) (pow d 2)))) into (pow (+ (pow c 2) (pow d 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow c 2) (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) (pow (+ (pow c 2) (pow d 2)) 1/4)) into (* (pow (/ 1 (pow (+ (pow c 2) (pow d 2)) 3)) 1/4) (* b d)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* c c) (* d d)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in a * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in a * [misc]taylor: Taking taylor expansion of (* c c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (pow c 2) (pow d 2)))) into (pow (+ (pow c 2) (pow d 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow c 2) (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (* (pow (/ 1 (pow (+ (pow c 2) (pow d 2)) 3)) 1/4) (* b d)) (pow (+ (pow c 2) (pow d 2)) 1/4)) into (/ (* b d) (+ (pow c 2) (pow d 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) in a * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) in a * [misc]taylor: Taking taylor expansion of (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* a c) (* b d)) in a * [misc]taylor: Taking taylor expansion of (* a c) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* b d) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in a * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in a * [misc]taylor: Taking taylor expansion of (* c c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (+ 0 (* b d)) into (* b d) * [misc]backup-simplify: Simplify (/ (* b d) (sqrt (+ (pow c 2) (pow d 2)))) into (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* c c) (* d d)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in a * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in a * [misc]taylor: Taking taylor expansion of (* c c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (pow c 2) (pow d 2)))) into (pow (+ (pow c 2) (pow d 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow c 2) (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) (pow (+ (pow c 2) (pow d 2)) 1/4)) into (* (pow (/ 1 (pow (+ (pow c 2) (pow d 2)) 3)) 1/4) (* b d)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* c c) (* d d)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in a * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in a * [misc]taylor: Taking taylor expansion of (* c c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (pow c 2) (pow d 2)))) into (pow (+ (pow c 2) (pow d 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow c 2) (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (* (pow (/ 1 (pow (+ (pow c 2) (pow d 2)) 3)) 1/4) (* b d)) (pow (+ (pow c 2) (pow d 2)) 1/4)) into (/ (* b d) (+ (pow c 2) (pow d 2))) * [misc]taylor: Taking taylor expansion of (/ (* b d) (+ (pow c 2) (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (/ (* b d) (pow d 2)) into (/ b d) * [misc]taylor: Taking taylor expansion of (/ b d) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 c)) into c * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ c 0) into c * [misc]backup-simplify: Simplify (- (/ c (sqrt (+ (pow c 2) (pow d 2)))) (+ (* (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) * [misc]backup-simplify: Simplify (- (/ (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (pow (+ (pow c 2) (pow d 2)) 1/4)) (+ (* (* (pow (/ 1 (pow (+ (pow c 2) (pow d 2)) 3)) 1/4) (* b d)) (/ 0 (pow (+ (pow c 2) (pow d 2)) 1/4))))) into (* c (pow (/ 1 (pow (+ (pow c 2) (pow d 2)) 3)) 1/4)) * [misc]backup-simplify: Simplify (- (/ (* c (pow (/ 1 (pow (+ (pow c 2) (pow d 2)) 3)) 1/4)) (pow (+ (pow c 2) (pow d 2)) 1/4)) (+ (* (/ (* b d) (+ (pow c 2) (pow d 2))) (/ 0 (pow (+ (pow c 2) (pow d 2)) 1/4))))) into (/ c (+ (pow c 2) (pow d 2))) * [misc]taylor: Taking taylor expansion of (/ c (+ (pow c 2) (pow d 2))) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow d 2)) (+ (* (/ b d) (/ 0 (pow d 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (pow c 2) (pow d 2)))) (+ (* (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))) (* (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (pow c 2) (pow d 2)) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (pow c 2) (pow d 2)) 1/4)) (+ (* (* (pow (/ 1 (pow (+ (pow c 2) (pow d 2)) 3)) 1/4) (* b d)) (/ 0 (pow (+ (pow c 2) (pow d 2)) 1/4))) (* (* c (pow (/ 1 (pow (+ (pow c 2) (pow d 2)) 3)) 1/4)) (/ 0 (pow (+ (pow c 2) (pow d 2)) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (pow c 2) (pow d 2)) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (pow c 2) (pow d 2)) 1/4)) (+ (* (/ (* b d) (+ (pow c 2) (pow d 2))) (/ 0 (pow (+ (pow c 2) (pow d 2)) 1/4))) (* (/ c (+ (pow c 2) (pow d 2))) (/ 0 (pow (+ (pow c 2) (pow d 2)) 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in b * [misc]taylor: Taking taylor expansion of (pow d 2) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 (pow d 2)) (+ (* (/ b d) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ b (pow d 3))) * [misc]taylor: Taking taylor expansion of (- (/ b (pow d 3))) in b * [misc]taylor: Taking taylor expansion of (/ b (pow d 3)) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow d 3) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (* d (pow d 2)) into (pow d 3) * [misc]backup-simplify: Simplify (/ 1 (pow d 3)) into (/ 1 (pow d 3)) * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 d) (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in d * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in d * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 a) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 b) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) 1) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (/ 1 b) 1) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ (/ 1 b) +nan.0) into (/ +nan.0 b) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ (/ +nan.0 b) +nan.0) into (/ +nan.0 b) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in b * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in b * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* 1 (/ 1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (+ 0 (/ 1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (/ (/ 1 d) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) into (* (pow (/ 1 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3)) 1/4) (/ 1 d)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (* (pow (/ 1 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3)) 1/4) (/ 1 d)) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in c * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in c * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (/ 1 a) 1) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ (/ 1 a) +nan.0) into (/ +nan.0 a) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ (/ +nan.0 a) +nan.0) into (/ +nan.0 a) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in a * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in a * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* 1 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]backup-simplify: Simplify (/ (/ 1 c) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) into (* (pow (/ 1 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3)) 1/4) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (* (pow (/ 1 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3)) 1/4) (/ 1 c)) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in a * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in a * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 a) (/ 1 c)) (* (/ 1 b) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* 1 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]backup-simplify: Simplify (/ (/ 1 c) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) into (* (pow (/ 1 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3)) 1/4) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (* (pow (/ 1 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3)) 1/4) (/ 1 c)) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (* b d))) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (- (/ (/ 1 (* b d)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) * [misc]backup-simplify: Simplify (- (/ (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (pow (/ 1 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3)) 1/4) (/ 1 c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into (* (/ 1 (* b d)) (pow (/ 1 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3)) 1/4)) * [misc]backup-simplify: Simplify (- (/ (* (/ 1 (* b d)) (pow (/ 1 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3)) 1/4)) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) * [misc]taylor: Taking taylor expansion of (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c * [misc]taylor: Taking taylor expansion of (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 d) into d * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (pow (/ 1 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3)) 1/4) (/ 1 c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* (* (/ 1 (* b d)) (pow (/ 1 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3)) 1/4)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 2)) 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (pow (/ 1 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3)) 1/4) (/ 1 c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* (* (/ 1 (* b d)) (pow (/ 1 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3)) 1/4)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in b * [misc]taylor: Taking taylor expansion of (* b d) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow d 2))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in b * [misc]taylor: Taking taylor expansion of (pow d 2) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (pow (/ 1 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3)) 1/4) (/ 1 c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* (* (/ 1 (* b d)) (pow (/ 1 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3)) 1/4)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (* 1 (* (/ 1 c) (/ 1 (/ 1 a)))))) into (/ a c) * [misc]approximate: Taking taylor expansion of (/ (/ (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in (a c b d) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in d * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in d * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in d * [misc]taylor: Taking taylor expansion of (- a) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in d * [misc]taylor: Taking taylor expansion of (- b) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) -1) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (/ 1 b) 1) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ (/ 1 b) +nan.0) into (/ +nan.0 b) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ (/ +nan.0 b) +nan.0) into (/ +nan.0 b) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in b * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in b * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* -1 (/ -1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (+ 0 (/ 1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (/ (/ 1 d) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) into (* (pow (/ 1 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3)) 1/4) (/ 1 d)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (* (pow (/ 1 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3)) 1/4) (/ 1 d)) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in c * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in c * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in c * [misc]taylor: Taking taylor expansion of (- a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in c * [misc]taylor: Taking taylor expansion of (- b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (/ 1 a) 1) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ (/ 1 a) +nan.0) into (/ +nan.0 a) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ (/ +nan.0 a) +nan.0) into (/ +nan.0 a) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in a * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in a * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* -1 (/ -1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]backup-simplify: Simplify (/ (/ 1 c) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) into (* (pow (/ 1 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3)) 1/4) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (* (pow (/ 1 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3)) 1/4) (/ 1 c)) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in a * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in a * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- a)) (/ 1 (- c))) (* (/ 1 (- b)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* -1 (/ -1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]backup-simplify: Simplify (/ (/ 1 c) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) into (* (pow (/ 1 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3)) 1/4) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (* (pow (/ 1 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3)) 1/4) (/ 1 c)) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (* b d))) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (- (/ (/ 1 (* b d)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) * [misc]backup-simplify: Simplify (- (/ (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (pow (/ 1 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3)) 1/4) (/ 1 c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into (* (/ 1 (* b d)) (pow (/ 1 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3)) 1/4)) * [misc]backup-simplify: Simplify (- (/ (* (/ 1 (* b d)) (pow (/ 1 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3)) 1/4)) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) * [misc]taylor: Taking taylor expansion of (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c * [misc]taylor: Taking taylor expansion of (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 d) into d * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (/ 1 (* b d)) into (/ 1 (* b d)) * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (pow (/ 1 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3)) 1/4) (/ 1 c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* (* (/ 1 (* b d)) (pow (/ 1 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3)) 1/4)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 2)) 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (pow (/ 1 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3)) 1/4) (/ 1 c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* (* (/ 1 (* b d)) (pow (/ 1 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3)) 1/4)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in b * [misc]taylor: Taking taylor expansion of (* b d) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow d 2))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in b * [misc]taylor: Taking taylor expansion of (pow d 2) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (* (/ 1 (* b d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (pow (/ 1 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3)) 1/4) (/ 1 c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* (* (/ 1 (* b d)) (pow (/ 1 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 3)) 1/4)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* (/ 1 (* b (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* b d)) (/ 0 (* b d))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (* 1 (* (/ 1 (- c)) (/ 1 (/ 1 (- a))))))) into (/ a c) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 0 * * [misc]simplify: Extracting #5: cost 5 inf + 43 * * [misc]simplify: Extracting #6: cost 0 inf + 892 * [exit]simplify: Simplified to (fabs (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 8 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 0 * * [misc]simplify: Extracting #5: cost 4 inf + 43 * * [misc]simplify: Extracting #6: cost 0 inf + 570 * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 9 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* 1 (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 10 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 904 * * [misc]simplify: Extracting #5: cost 1 inf + 1178 * * [misc]simplify: Extracting #6: cost 0 inf + 1500 * [exit]simplify: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (/ (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))) * * * * [misc]progress: [ 11 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 48 inf + 0 * * [misc]simplify: Extracting #3: cost 118 inf + 0 * * [misc]simplify: Extracting #4: cost 119 inf + 1265 * * [misc]simplify: Extracting #5: cost 31 inf + 15994 * * [misc]simplify: Extracting #6: cost 0 inf + 22216 * [exit]simplify: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d))))))) * * * * [misc]progress: [ 12 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 43 * * [misc]simplify: Extracting #5: cost 0 inf + 368 * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 14 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 0 * * [misc]simplify: Extracting #5: cost 5 inf + 43 * * [misc]simplify: Extracting #6: cost 0 inf + 892 * [exit]simplify: Simplified to (fabs (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 22 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 0 * * [misc]simplify: Extracting #5: cost 4 inf + 43 * * [misc]simplify: Extracting #6: cost 0 inf + 570 * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 23 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (* 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 24 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 904 * * [misc]simplify: Extracting #5: cost 1 inf + 1178 * * [misc]simplify: Extracting #6: cost 0 inf + 1500 * [exit]simplify: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (/ (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 25 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 48 inf + 0 * * [misc]simplify: Extracting #3: cost 118 inf + 0 * * [misc]simplify: Extracting #4: cost 119 inf + 1265 * * [misc]simplify: Extracting #5: cost 31 inf + 15994 * * [misc]simplify: Extracting #6: cost 0 inf + 22216 * [exit]simplify: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 26 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 43 * * [misc]simplify: Extracting #5: cost 0 inf + 368 * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (fabs (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 28 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 0 * * [misc]simplify: Extracting #5: cost 5 inf + 43 * * [misc]simplify: Extracting #6: cost 0 inf + 892 * [exit]simplify: Simplified to (fabs (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 36 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 0 * * [misc]simplify: Extracting #5: cost 4 inf + 43 * * [misc]simplify: Extracting #6: cost 0 inf + 570 * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 37 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 2 1) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (* 1 (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 38 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 904 * * [misc]simplify: Extracting #5: cost 1 inf + 1178 * * [misc]simplify: Extracting #6: cost 0 inf + 1500 * [exit]simplify: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (/ (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 39 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 48 inf + 0 * * [misc]simplify: Extracting #3: cost 118 inf + 0 * * [misc]simplify: Extracting #4: cost 119 inf + 1265 * * [misc]simplify: Extracting #5: cost 31 inf + 15994 * * [misc]simplify: Extracting #6: cost 0 inf + 22216 * [exit]simplify: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 40 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 43 * * [misc]simplify: Extracting #5: cost 0 inf + 368 * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (fabs (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 42 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (- (log (+ (* a c) (* b d))) (log (sqrt (+ (* c c) (* d d))))) (log (sqrt (sqrt (+ (* c c) (* d d)))))) (log (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 28 inf + 0 * * [misc]simplify: Extracting #2: cost 44 inf + 0 * * [misc]simplify: Extracting #3: cost 47 inf + 0 * * [misc]simplify: Extracting #4: cost 53 inf + 0 * * [misc]simplify: Extracting #5: cost 48 inf + 46 * * [misc]simplify: Extracting #6: cost 43 inf + 488 * * [misc]simplify: Extracting #7: cost 36 inf + 2178 * * [misc]simplify: Extracting #8: cost 24 inf + 7666 * * [misc]simplify: Extracting #9: cost 3 inf + 17346 * * [misc]simplify: Extracting #10: cost 0 inf + 19138 * [exit]simplify: Simplified to (- (- (log (+ (* b d) (* a c))) (log (sqrt (sqrt (+ (* c c) (* d d)))))) (+ (log (sqrt (sqrt (+ (* c c) (* d d))))) (log (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (exp (- (- (log (+ (* b d) (* a c))) (log (sqrt (sqrt (+ (* c c) (* d d)))))) (+ (log (sqrt (sqrt (+ (* c c) (* d d))))) (log (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 45 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (log (sqrt (sqrt (+ (* c c) (* d d)))))) (log (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 34 inf + 0 * * [misc]simplify: Extracting #2: cost 47 inf + 0 * * [misc]simplify: Extracting #3: cost 50 inf + 0 * * [misc]simplify: Extracting #4: cost 56 inf + 0 * * [misc]simplify: Extracting #5: cost 50 inf + 87 * * [misc]simplify: Extracting #6: cost 45 inf + 610 * * [misc]simplify: Extracting #7: cost 36 inf + 3014 * * [misc]simplify: Extracting #8: cost 7 inf + 16316 * * [misc]simplify: Extracting #9: cost 0 inf + 19564 * [exit]simplify: Simplified to (- (- (log (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (log (sqrt (sqrt (+ (* c c) (* d d)))))) (log (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (exp (- (- (log (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (log (sqrt (sqrt (+ (* c c) (* d d)))))) (log (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 46 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (log (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (280 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 31 inf + 0 * * [misc]simplify: Extracting #2: cost 44 inf + 0 * * [misc]simplify: Extracting #3: cost 47 inf + 0 * * [misc]simplify: Extracting #4: cost 53 inf + 0 * * [misc]simplify: Extracting #5: cost 47 inf + 87 * * [misc]simplify: Extracting #6: cost 44 inf + 294 * * [misc]simplify: Extracting #7: cost 42 inf + 610 * * [misc]simplify: Extracting #8: cost 34 inf + 3166 * * [misc]simplify: Extracting #9: cost 20 inf + 8734 * * [misc]simplify: Extracting #10: cost 0 inf + 17722 * [exit]simplify: Simplified to (- (log (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (+ (log (sqrt (sqrt (+ (* c c) (* d d))))) (log (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (exp (- (log (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (+ (log (sqrt (sqrt (+ (* c c) (* d d))))) (log (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 47 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (* (+ (* a c) (* b d)) (+ (* a c) (* b d))) (+ (* a c) (* b d))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) (* (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 55 inf + 0 * * [misc]simplify: Extracting #2: cost 187 inf + 0 * * [misc]simplify: Extracting #3: cost 285 inf + 2 * * [misc]simplify: Extracting #4: cost 237 inf + 9556 * * [misc]simplify: Extracting #5: cost 43 inf + 68976 * * [misc]simplify: Extracting #6: cost 0 inf + 85338 * [exit]simplify: Simplified to (* (/ (/ (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* d d) (* c c))) (+ (* d d) (* c c))) (/ (+ (* b d) (* a c)) (+ (* d d) (* c c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (cbrt (* (/ (/ (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* d d) (* c c))) (+ (* d d) (* c c))) (/ (+ (* b d) (* a c)) (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 50 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (* (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 59 inf + 0 * * [misc]simplify: Extracting #2: cost 148 inf + 0 * * [misc]simplify: Extracting #3: cost 191 inf + 2 * * [misc]simplify: Extracting #4: cost 171 inf + 3027 * * [misc]simplify: Extracting #5: cost 105 inf + 28892 * * [misc]simplify: Extracting #6: cost 4 inf + 74581 * * [misc]simplify: Extracting #7: cost 0 inf + 76517 * [exit]simplify: Simplified to (* (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) (* (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (cbrt (* (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) (* (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 51 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (418 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 76 inf + 0 * * [misc]simplify: Extracting #2: cost 180 inf + 1 * * [misc]simplify: Extracting #3: cost 231 inf + 2 * * [misc]simplify: Extracting #4: cost 234 inf + 908 * * [misc]simplify: Extracting #5: cost 150 inf + 33636 * * [misc]simplify: Extracting #6: cost 10 inf + 97786 * * [misc]simplify: Extracting #7: cost 0 inf + 102626 * [exit]simplify: Simplified to (/ (/ (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* c c) (* d d))) (* (+ (* c c) (* d d)) (/ (+ (* c c) (* d d)) (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (cbrt (/ (/ (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* c c) (* d d))) (* (+ (* c c) (* d d)) (/ (+ (* c c) (* d d)) (+ (* b d) (* a c))))))) * * * * [misc]progress: [ 52 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 26 inf + 0 * * [misc]simplify: Extracting #6: cost 20 inf + 87 * * [misc]simplify: Extracting #7: cost 16 inf + 416 * * [misc]simplify: Extracting #8: cost 10 inf + 2154 * * [misc]simplify: Extracting #9: cost 4 inf + 4974 * * [misc]simplify: Extracting #10: cost 0 inf + 7510 * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 4 inf + 1790 * * [misc]simplify: Extracting #8: cost 0 inf + 3484 * [exit]simplify: Simplified to (/ (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 57 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 24 inf + 0 * * [misc]simplify: Extracting #6: cost 18 inf + 87 * * [misc]simplify: Extracting #7: cost 14 inf + 416 * * [misc]simplify: Extracting #8: cost 8 inf + 2114 * * [misc]simplify: Extracting #9: cost 2 inf + 4572 * * [misc]simplify: Extracting #10: cost 0 inf + 5900 * [exit]simplify: Simplified to (/ (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) (/ (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) (/ (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 250 * * [misc]simplify: Extracting #7: cost 3 inf + 2356 * * [misc]simplify: Extracting #8: cost 1 inf + 3122 * * [misc]simplify: Extracting #9: cost 0 inf + 3766 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) (/ (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 58 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 25 inf + 0 * * [misc]simplify: Extracting #6: cost 19 inf + 87 * * [misc]simplify: Extracting #7: cost 15 inf + 416 * * [misc]simplify: Extracting #8: cost 9 inf + 1952 * * [misc]simplify: Extracting #9: cost 4 inf + 3808 * * [misc]simplify: Extracting #10: cost 0 inf + 6182 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))))) (/ (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 452 * * [misc]simplify: Extracting #7: cost 5 inf + 1952 * * [misc]simplify: Extracting #8: cost 0 inf + 4008 * [exit]simplify: Simplified to (/ (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))))) (/ (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 59 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 2356 * * [misc]simplify: Extracting #8: cost 1 inf + 4492 * * [misc]simplify: Extracting #9: cost 0 inf + 5096 * [exit]simplify: Simplified to (/ (* (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 4 inf + 1750 * * [misc]simplify: Extracting #8: cost 0 inf + 3404 * [exit]simplify: Simplified to (/ (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 60 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 251 * * [misc]simplify: Extracting #7: cost 2 inf + 2599 * * [misc]simplify: Extracting #8: cost 0 inf + 3648 * [exit]simplify: Simplified to (* (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 0 * * [misc]simplify: Extracting #6: cost 10 inf + 250 * * [misc]simplify: Extracting #7: cost 2 inf + 2114 * * [misc]simplify: Extracting #8: cost 0 inf + 3122 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 61 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 2356 * * [misc]simplify: Extracting #8: cost 1 inf + 4492 * * [misc]simplify: Extracting #9: cost 0 inf + 5096 * [exit]simplify: Simplified to (/ (* (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 4 inf + 1750 * * [misc]simplify: Extracting #8: cost 0 inf + 3404 * [exit]simplify: Simplified to (/ (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 62 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 251 * * [misc]simplify: Extracting #7: cost 4 inf + 1873 * * [misc]simplify: Extracting #8: cost 1 inf + 3123 * * [misc]simplify: Extracting #9: cost 0 inf + 3648 * [exit]simplify: Simplified to (* (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 0 * * [misc]simplify: Extracting #6: cost 10 inf + 250 * * [misc]simplify: Extracting #7: cost 2 inf + 2114 * * [misc]simplify: Extracting #8: cost 0 inf + 3122 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 63 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 2356 * * [misc]simplify: Extracting #8: cost 1 inf + 4492 * * [misc]simplify: Extracting #9: cost 0 inf + 5096 * [exit]simplify: Simplified to (/ (* (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 4 inf + 1750 * * [misc]simplify: Extracting #8: cost 0 inf + 3404 * [exit]simplify: Simplified to (/ (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 64 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 251 * * [misc]simplify: Extracting #7: cost 2 inf + 2599 * * [misc]simplify: Extracting #8: cost 0 inf + 3648 * [exit]simplify: Simplified to (* (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 0 * * [misc]simplify: Extracting #6: cost 10 inf + 250 * * [misc]simplify: Extracting #7: cost 2 inf + 2114 * * [misc]simplify: Extracting #8: cost 0 inf + 3122 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 65 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 250 * * [misc]simplify: Extracting #7: cost 4 inf + 2396 * * [misc]simplify: Extracting #8: cost 1 inf + 3726 * * [misc]simplify: Extracting #9: cost 0 inf + 4330 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 4 inf + 1790 * * [misc]simplify: Extracting #8: cost 0 inf + 3404 * [exit]simplify: Simplified to (/ (sqrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 66 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 250 * * [misc]simplify: Extracting #7: cost 4 inf + 2356 * * [misc]simplify: Extracting #8: cost 0 inf + 3968 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 250 * * [misc]simplify: Extracting #7: cost 3 inf + 2356 * * [misc]simplify: Extracting #8: cost 1 inf + 3082 * * [misc]simplify: Extracting #9: cost 0 inf + 3686 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 67 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 452 * * [misc]simplify: Extracting #7: cost 4 inf + 2476 * * [misc]simplify: Extracting #8: cost 1 inf + 3526 * * [misc]simplify: Extracting #9: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (sqrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 452 * * [misc]simplify: Extracting #7: cost 5 inf + 1952 * * [misc]simplify: Extracting #8: cost 0 inf + 3928 * [exit]simplify: Simplified to (/ (sqrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 68 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 4 inf + 1750 * * [misc]simplify: Extracting #8: cost 0 inf + 3324 * [exit]simplify: Simplified to (/ (sqrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 4 inf + 1750 * * [misc]simplify: Extracting #8: cost 0 inf + 3324 * [exit]simplify: Simplified to (/ (sqrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 69 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 251 * * [misc]simplify: Extracting #6: cost 3 inf + 1509 * * [misc]simplify: Extracting #7: cost 0 inf + 2559 * [exit]simplify: Simplified to (sqrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 0 * * [misc]simplify: Extracting #6: cost 10 inf + 250 * * [misc]simplify: Extracting #7: cost 2 inf + 2114 * * [misc]simplify: Extracting #8: cost 0 inf + 3042 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 70 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 4 inf + 1750 * * [misc]simplify: Extracting #8: cost 0 inf + 3324 * [exit]simplify: Simplified to (/ (sqrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 4 inf + 1750 * * [misc]simplify: Extracting #8: cost 0 inf + 3324 * [exit]simplify: Simplified to (/ (sqrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 71 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 251 * * [misc]simplify: Extracting #6: cost 1 inf + 2115 * * [misc]simplify: Extracting #7: cost 0 inf + 2559 * [exit]simplify: Simplified to (sqrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 0 * * [misc]simplify: Extracting #6: cost 10 inf + 250 * * [misc]simplify: Extracting #7: cost 2 inf + 2114 * * [misc]simplify: Extracting #8: cost 0 inf + 3042 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 72 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 4 inf + 1750 * * [misc]simplify: Extracting #8: cost 0 inf + 3324 * [exit]simplify: Simplified to (/ (sqrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 4 inf + 1750 * * [misc]simplify: Extracting #8: cost 0 inf + 3324 * [exit]simplify: Simplified to (/ (sqrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 73 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 251 * * [misc]simplify: Extracting #6: cost 3 inf + 1509 * * [misc]simplify: Extracting #7: cost 0 inf + 2559 * [exit]simplify: Simplified to (sqrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 0 * * [misc]simplify: Extracting #6: cost 10 inf + 250 * * [misc]simplify: Extracting #7: cost 2 inf + 2114 * * [misc]simplify: Extracting #8: cost 0 inf + 3042 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 74 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 2 * * [misc]simplify: Extracting #4: cost 26 inf + 2 * * [misc]simplify: Extracting #5: cost 30 inf + 2 * * [misc]simplify: Extracting #6: cost 24 inf + 89 * * [misc]simplify: Extracting #7: cost 20 inf + 418 * * [misc]simplify: Extracting #8: cost 14 inf + 2438 * * [misc]simplify: Extracting #9: cost 6 inf + 6426 * * [misc]simplify: Extracting #10: cost 0 inf + 9768 * [exit]simplify: Simplified to (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 0 * * [misc]simplify: Extracting #6: cost 10 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 1104 * * [misc]simplify: Extracting #8: cost 2 inf + 2354 * * [misc]simplify: Extracting #9: cost 0 inf + 3280 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 75 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 26 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 31 inf + 0 * * [misc]simplify: Extracting #5: cost 37 inf + 0 * * [misc]simplify: Extracting #6: cost 31 inf + 87 * * [misc]simplify: Extracting #7: cost 27 inf + 416 * * [misc]simplify: Extracting #8: cost 18 inf + 3080 * * [misc]simplify: Extracting #9: cost 1 inf + 13302 * * [misc]simplify: Extracting #10: cost 0 inf + 14066 * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 250 * * [misc]simplify: Extracting #7: cost 7 inf + 1346 * * [misc]simplify: Extracting #8: cost 3 inf + 2878 * * [misc]simplify: Extracting #9: cost 0 inf + 4608 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 76 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 32 inf + 0 * * [misc]simplify: Extracting #5: cost 38 inf + 0 * * [misc]simplify: Extracting #6: cost 32 inf + 87 * * [misc]simplify: Extracting #7: cost 28 inf + 416 * * [misc]simplify: Extracting #8: cost 18 inf + 3604 * * [misc]simplify: Extracting #9: cost 8 inf + 8918 * * [misc]simplify: Extracting #10: cost 0 inf + 14668 * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 250 * * [misc]simplify: Extracting #7: cost 8 inf + 1306 * * [misc]simplify: Extracting #8: cost 1 inf + 4166 * * [misc]simplify: Extracting #9: cost 0 inf + 4930 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 77 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 35 inf + 0 * * [misc]simplify: Extracting #6: cost 29 inf + 87 * * [misc]simplify: Extracting #7: cost 25 inf + 416 * * [misc]simplify: Extracting #8: cost 11 inf + 6060 * * [misc]simplify: Extracting #9: cost 0 inf + 12742 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 250 * * [misc]simplify: Extracting #7: cost 7 inf + 1104 * * [misc]simplify: Extracting #8: cost 1 inf + 3482 * * [misc]simplify: Extracting #9: cost 0 inf + 4126 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 78 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * * [misc]simplify: iters left: 1 (390 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 24 inf + 1 * * [misc]simplify: Extracting #6: cost 18 inf + 88 * * [misc]simplify: Extracting #7: cost 14 inf + 417 * * [misc]simplify: Extracting #8: cost 9 inf + 1709 * * [misc]simplify: Extracting #9: cost 0 inf + 6546 * [exit]simplify: Simplified to (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1104 * * [misc]simplify: Extracting #8: cost 3 inf + 2354 * * [misc]simplify: Extracting #9: cost 0 inf + 3764 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 79 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 35 inf + 0 * * [misc]simplify: Extracting #6: cost 29 inf + 87 * * [misc]simplify: Extracting #7: cost 25 inf + 416 * * [misc]simplify: Extracting #8: cost 11 inf + 6060 * * [misc]simplify: Extracting #9: cost 0 inf + 12742 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 250 * * [misc]simplify: Extracting #7: cost 7 inf + 1104 * * [misc]simplify: Extracting #8: cost 1 inf + 3482 * * [misc]simplify: Extracting #9: cost 0 inf + 4126 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 80 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 24 inf + 1 * * [misc]simplify: Extracting #6: cost 18 inf + 88 * * [misc]simplify: Extracting #7: cost 14 inf + 417 * * [misc]simplify: Extracting #8: cost 6 inf + 3122 * * [misc]simplify: Extracting #9: cost 0 inf + 6546 * [exit]simplify: Simplified to (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1104 * * [misc]simplify: Extracting #8: cost 3 inf + 2354 * * [misc]simplify: Extracting #9: cost 0 inf + 3764 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 81 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 35 inf + 0 * * [misc]simplify: Extracting #6: cost 29 inf + 87 * * [misc]simplify: Extracting #7: cost 25 inf + 416 * * [misc]simplify: Extracting #8: cost 11 inf + 6060 * * [misc]simplify: Extracting #9: cost 0 inf + 12742 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 250 * * [misc]simplify: Extracting #7: cost 7 inf + 1104 * * [misc]simplify: Extracting #8: cost 1 inf + 3482 * * [misc]simplify: Extracting #9: cost 0 inf + 4126 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 82 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (343 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 24 inf + 1 * * [misc]simplify: Extracting #6: cost 19 inf + 47 * * [misc]simplify: Extracting #7: cost 14 inf + 417 * * [misc]simplify: Extracting #8: cost 6 inf + 3002 * * [misc]simplify: Extracting #9: cost 0 inf + 6546 * [exit]simplify: Simplified to (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1104 * * [misc]simplify: Extracting #8: cost 3 inf + 2354 * * [misc]simplify: Extracting #9: cost 0 inf + 3764 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 83 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 26 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 31 inf + 0 * * [misc]simplify: Extracting #5: cost 37 inf + 0 * * [misc]simplify: Extracting #6: cost 31 inf + 87 * * [misc]simplify: Extracting #7: cost 27 inf + 416 * * [misc]simplify: Extracting #8: cost 19 inf + 2758 * * [misc]simplify: Extracting #9: cost 2 inf + 12898 * * [misc]simplify: Extracting #10: cost 0 inf + 14106 * * [misc]simplify: Extracting #11: cost 0 inf + 14066 * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 250 * * [misc]simplify: Extracting #7: cost 7 inf + 1346 * * [misc]simplify: Extracting #8: cost 3 inf + 2878 * * [misc]simplify: Extracting #9: cost 0 inf + 4608 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 84 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 26 inf + 0 * * [misc]simplify: Extracting #6: cost 20 inf + 87 * * [misc]simplify: Extracting #7: cost 16 inf + 416 * * [misc]simplify: Extracting #8: cost 7 inf + 3684 * * [misc]simplify: Extracting #9: cost 0 inf + 7592 * [exit]simplify: Simplified to (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 902 * * [misc]simplify: Extracting #8: cost 0 inf + 2918 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 85 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 31 inf + 0 * * [misc]simplify: Extracting #6: cost 25 inf + 87 * * [misc]simplify: Extracting #7: cost 21 inf + 416 * * [misc]simplify: Extracting #8: cost 12 inf + 3000 * * [misc]simplify: Extracting #9: cost 5 inf + 6624 * * [misc]simplify: Extracting #10: cost 0 inf + 9922 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 250 * * [misc]simplify: Extracting #7: cost 8 inf + 1346 * * [misc]simplify: Extracting #8: cost 1 inf + 4206 * * [misc]simplify: Extracting #9: cost 0 inf + 4970 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 86 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 29 inf + 0 * * [misc]simplify: Extracting #6: cost 23 inf + 87 * * [misc]simplify: Extracting #7: cost 19 inf + 416 * * [misc]simplify: Extracting #8: cost 11 inf + 2758 * * [misc]simplify: Extracting #9: cost 0 inf + 8838 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 250 * * [misc]simplify: Extracting #7: cost 7 inf + 1346 * * [misc]simplify: Extracting #8: cost 3 inf + 2838 * * [misc]simplify: Extracting #9: cost 0 inf + 4448 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 87 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 21 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 87 * * [misc]simplify: Extracting #7: cost 12 inf + 293 * * [misc]simplify: Extracting #8: cost 6 inf + 1709 * * [misc]simplify: Extracting #9: cost 4 inf + 2558 * * [misc]simplify: Extracting #10: cost 1 inf + 4130 * * [misc]simplify: Extracting #11: cost 0 inf + 4734 * [exit]simplify: Simplified to (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1346 * * [misc]simplify: Extracting #8: cost 1 inf + 3442 * * [misc]simplify: Extracting #9: cost 0 inf + 4086 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 88 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 29 inf + 0 * * [misc]simplify: Extracting #6: cost 23 inf + 87 * * [misc]simplify: Extracting #7: cost 19 inf + 416 * * [misc]simplify: Extracting #8: cost 11 inf + 2758 * * [misc]simplify: Extracting #9: cost 0 inf + 8838 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 250 * * [misc]simplify: Extracting #7: cost 7 inf + 1346 * * [misc]simplify: Extracting #8: cost 3 inf + 2838 * * [misc]simplify: Extracting #9: cost 0 inf + 4448 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 89 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 21 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 209 * * [misc]simplify: Extracting #7: cost 8 inf + 1261 * * [misc]simplify: Extracting #8: cost 5 inf + 2113 * * [misc]simplify: Extracting #9: cost 1 inf + 4130 * * [misc]simplify: Extracting #10: cost 0 inf + 4734 * [exit]simplify: Simplified to (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1346 * * [misc]simplify: Extracting #8: cost 1 inf + 3442 * * [misc]simplify: Extracting #9: cost 0 inf + 4086 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 90 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 29 inf + 0 * * [misc]simplify: Extracting #6: cost 23 inf + 87 * * [misc]simplify: Extracting #7: cost 19 inf + 416 * * [misc]simplify: Extracting #8: cost 11 inf + 2758 * * [misc]simplify: Extracting #9: cost 0 inf + 8838 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 250 * * [misc]simplify: Extracting #7: cost 7 inf + 1346 * * [misc]simplify: Extracting #8: cost 3 inf + 2838 * * [misc]simplify: Extracting #9: cost 0 inf + 4448 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 91 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 21 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 251 * * [misc]simplify: Extracting #7: cost 6 inf + 1709 * * [misc]simplify: Extracting #8: cost 3 inf + 3122 * * [misc]simplify: Extracting #9: cost 0 inf + 4734 * [exit]simplify: Simplified to (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1346 * * [misc]simplify: Extracting #8: cost 1 inf + 3442 * * [misc]simplify: Extracting #9: cost 0 inf + 4086 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 92 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 32 inf + 0 * * [misc]simplify: Extracting #5: cost 38 inf + 0 * * [misc]simplify: Extracting #6: cost 32 inf + 87 * * [misc]simplify: Extracting #7: cost 28 inf + 416 * * [misc]simplify: Extracting #8: cost 21 inf + 2436 * * [misc]simplify: Extracting #9: cost 17 inf + 3806 * * [misc]simplify: Extracting #10: cost 0 inf + 14708 * * [misc]simplify: Extracting #11: cost 0 inf + 14668 * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 452 * * [misc]simplify: Extracting #7: cost 7 inf + 1628 * * [misc]simplify: Extracting #8: cost 1 inf + 4166 * * [misc]simplify: Extracting #9: cost 0 inf + 4930 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 93 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 31 inf + 0 * * [misc]simplify: Extracting #6: cost 25 inf + 87 * * [misc]simplify: Extracting #7: cost 21 inf + 416 * * [misc]simplify: Extracting #8: cost 14 inf + 2436 * * [misc]simplify: Extracting #9: cost 6 inf + 6060 * * [misc]simplify: Extracting #10: cost 0 inf + 9922 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 452 * * [misc]simplify: Extracting #7: cost 7 inf + 1628 * * [misc]simplify: Extracting #8: cost 1 inf + 4206 * * [misc]simplify: Extracting #9: cost 0 inf + 4970 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 94 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 24 inf + 0 * * [misc]simplify: Extracting #6: cost 18 inf + 87 * * [misc]simplify: Extracting #7: cost 14 inf + 416 * * [misc]simplify: Extracting #8: cost 6 inf + 3000 * * [misc]simplify: Extracting #9: cost 1 inf + 5658 * * [misc]simplify: Extracting #10: cost 0 inf + 6302 * [exit]simplify: Simplified to (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 452 * * [misc]simplify: Extracting #7: cost 3 inf + 1628 * * [misc]simplify: Extracting #8: cost 1 inf + 2636 * * [misc]simplify: Extracting #9: cost 0 inf + 3200 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 95 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 24 inf + 0 * * [misc]simplify: Extracting #5: cost 30 inf + 0 * * [misc]simplify: Extracting #6: cost 24 inf + 87 * * [misc]simplify: Extracting #7: cost 20 inf + 416 * * [misc]simplify: Extracting #8: cost 13 inf + 2436 * * [misc]simplify: Extracting #9: cost 8 inf + 4290 * * [misc]simplify: Extracting #10: cost 0 inf + 9280 * [exit]simplify: Simplified to (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 452 * * [misc]simplify: Extracting #7: cost 7 inf + 1628 * * [misc]simplify: Extracting #8: cost 1 inf + 4046 * * [misc]simplify: Extracting #9: cost 0 inf + 4770 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 96 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 22 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 129 * * [misc]simplify: Extracting #7: cost 12 inf + 417 * * [misc]simplify: Extracting #8: cost 6 inf + 1871 * * [misc]simplify: Extracting #9: cost 2 inf + 3928 * * [misc]simplify: Extracting #10: cost 0 inf + 5016 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 452 * * [misc]simplify: Extracting #7: cost 6 inf + 1628 * * [misc]simplify: Extracting #8: cost 1 inf + 3924 * * [misc]simplify: Extracting #9: cost 0 inf + 4408 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 97 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 24 inf + 0 * * [misc]simplify: Extracting #5: cost 30 inf + 0 * * [misc]simplify: Extracting #6: cost 24 inf + 87 * * [misc]simplify: Extracting #7: cost 20 inf + 416 * * [misc]simplify: Extracting #8: cost 13 inf + 2436 * * [misc]simplify: Extracting #9: cost 8 inf + 4290 * * [misc]simplify: Extracting #10: cost 0 inf + 9280 * [exit]simplify: Simplified to (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 452 * * [misc]simplify: Extracting #7: cost 7 inf + 1628 * * [misc]simplify: Extracting #8: cost 1 inf + 4046 * * [misc]simplify: Extracting #9: cost 0 inf + 4770 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 98 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 22 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 453 * * [misc]simplify: Extracting #7: cost 7 inf + 1589 * * [misc]simplify: Extracting #8: cost 4 inf + 2719 * * [misc]simplify: Extracting #9: cost 0 inf + 5016 * [exit]simplify: Simplified to (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 452 * * [misc]simplify: Extracting #7: cost 6 inf + 1628 * * [misc]simplify: Extracting #8: cost 1 inf + 3924 * * [misc]simplify: Extracting #9: cost 0 inf + 4408 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 99 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 24 inf + 0 * * [misc]simplify: Extracting #5: cost 30 inf + 0 * * [misc]simplify: Extracting #6: cost 24 inf + 87 * * [misc]simplify: Extracting #7: cost 20 inf + 416 * * [misc]simplify: Extracting #8: cost 13 inf + 2436 * * [misc]simplify: Extracting #9: cost 8 inf + 4290 * * [misc]simplify: Extracting #10: cost 0 inf + 9280 * [exit]simplify: Simplified to (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 452 * * [misc]simplify: Extracting #7: cost 7 inf + 1628 * * [misc]simplify: Extracting #8: cost 1 inf + 4046 * * [misc]simplify: Extracting #9: cost 0 inf + 4770 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 100 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 22 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 46 * * [misc]simplify: Extracting #7: cost 12 inf + 417 * * [misc]simplify: Extracting #8: cost 5 inf + 2275 * * [misc]simplify: Extracting #9: cost 1 inf + 4372 * * [misc]simplify: Extracting #10: cost 0 inf + 5016 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 452 * * [misc]simplify: Extracting #7: cost 6 inf + 1628 * * [misc]simplify: Extracting #8: cost 1 inf + 3924 * * [misc]simplify: Extracting #9: cost 0 inf + 4408 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 101 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 35 inf + 0 * * [misc]simplify: Extracting #6: cost 29 inf + 87 * * [misc]simplify: Extracting #7: cost 25 inf + 416 * * [misc]simplify: Extracting #8: cost 18 inf + 2476 * * [misc]simplify: Extracting #9: cost 1 inf + 12058 * * [misc]simplify: Extracting #10: cost 0 inf + 12742 * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 250 * * [misc]simplify: Extracting #7: cost 7 inf + 1104 * * [misc]simplify: Extracting #8: cost 1 inf + 3482 * * [misc]simplify: Extracting #9: cost 0 inf + 4126 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 102 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 29 inf + 0 * * [misc]simplify: Extracting #6: cost 23 inf + 87 * * [misc]simplify: Extracting #7: cost 19 inf + 416 * * [misc]simplify: Extracting #8: cost 12 inf + 2436 * * [misc]simplify: Extracting #9: cost 0 inf + 8838 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 250 * * [misc]simplify: Extracting #7: cost 7 inf + 1346 * * [misc]simplify: Extracting #8: cost 3 inf + 2798 * * [misc]simplify: Extracting #9: cost 0 inf + 4448 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 103 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 24 inf + 0 * * [misc]simplify: Extracting #5: cost 30 inf + 0 * * [misc]simplify: Extracting #6: cost 24 inf + 87 * * [misc]simplify: Extracting #7: cost 20 inf + 416 * * [misc]simplify: Extracting #8: cost 12 inf + 2920 * * [misc]simplify: Extracting #9: cost 6 inf + 5378 * * [misc]simplify: Extracting #10: cost 0 inf + 9280 * [exit]simplify: Simplified to (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 250 * * [misc]simplify: Extracting #7: cost 8 inf + 1306 * * [misc]simplify: Extracting #8: cost 1 inf + 4046 * * [misc]simplify: Extracting #9: cost 0 inf + 4770 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 104 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 208 * * [misc]simplify: Extracting #7: cost 10 inf + 898 * * [misc]simplify: Extracting #8: cost 8 inf + 1346 * * [misc]simplify: Extracting #9: cost 2 inf + 4210 * * [misc]simplify: Extracting #10: cost 0 inf + 5298 * [exit]simplify: Simplified to (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 902 * * [misc]simplify: Extracting #8: cost 0 inf + 2758 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 105 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 46 * * [misc]simplify: Extracting #7: cost 11 inf + 293 * * [misc]simplify: Extracting #8: cost 7 inf + 1105 * * [misc]simplify: Extracting #9: cost 2 inf + 3283 * * [misc]simplify: Extracting #10: cost 0 inf + 4252 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1104 * * [misc]simplify: Extracting #8: cost 3 inf + 2274 * * [misc]simplify: Extracting #9: cost 0 inf + 3604 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 106 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 208 * * [misc]simplify: Extracting #7: cost 10 inf + 898 * * [misc]simplify: Extracting #8: cost 8 inf + 1346 * * [misc]simplify: Extracting #9: cost 2 inf + 4210 * * [misc]simplify: Extracting #10: cost 0 inf + 5298 * [exit]simplify: Simplified to (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 902 * * [misc]simplify: Extracting #8: cost 0 inf + 2758 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 107 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 209 * * [misc]simplify: Extracting #7: cost 8 inf + 899 * * [misc]simplify: Extracting #8: cost 5 inf + 1751 * * [misc]simplify: Extracting #9: cost 1 inf + 3688 * * [misc]simplify: Extracting #10: cost 0 inf + 4252 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1104 * * [misc]simplify: Extracting #8: cost 3 inf + 2274 * * [misc]simplify: Extracting #9: cost 0 inf + 3604 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 108 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 208 * * [misc]simplify: Extracting #7: cost 10 inf + 898 * * [misc]simplify: Extracting #8: cost 8 inf + 1346 * * [misc]simplify: Extracting #9: cost 2 inf + 4210 * * [misc]simplify: Extracting #10: cost 0 inf + 5298 * [exit]simplify: Simplified to (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 902 * * [misc]simplify: Extracting #8: cost 0 inf + 2758 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 109 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 251 * * [misc]simplify: Extracting #7: cost 7 inf + 1105 * * [misc]simplify: Extracting #8: cost 1 inf + 3688 * * [misc]simplify: Extracting #9: cost 0 inf + 4252 * [exit]simplify: Simplified to (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1104 * * [misc]simplify: Extracting #8: cost 3 inf + 2274 * * [misc]simplify: Extracting #9: cost 0 inf + 3604 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 110 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 25 inf + 1 * * [misc]simplify: Extracting #6: cost 19 inf + 88 * * [misc]simplify: Extracting #7: cost 15 inf + 417 * * [misc]simplify: Extracting #8: cost 10 inf + 1709 * * [misc]simplify: Extracting #9: cost 1 inf + 6546 * * [misc]simplify: Extracting #10: cost 0 inf + 7150 * [exit]simplify: Simplified to (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 1386 * * [misc]simplify: Extracting #8: cost 1 inf + 3200 * * [misc]simplify: Extracting #9: cost 0 inf + 3764 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 111 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 21 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 46 * * [misc]simplify: Extracting #7: cost 12 inf + 293 * * [misc]simplify: Extracting #8: cost 7 inf + 1427 * * [misc]simplify: Extracting #9: cost 2 inf + 3686 * * [misc]simplify: Extracting #10: cost 0 inf + 4734 * [exit]simplify: Simplified to (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1346 * * [misc]simplify: Extracting #8: cost 1 inf + 3442 * * [misc]simplify: Extracting #9: cost 0 inf + 4086 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 112 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 22 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 209 * * [misc]simplify: Extracting #7: cost 9 inf + 1181 * * [misc]simplify: Extracting #8: cost 6 inf + 1871 * * [misc]simplify: Extracting #9: cost 4 inf + 2720 * * [misc]simplify: Extracting #10: cost 0 inf + 5016 * [exit]simplify: Simplified to (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 452 * * [misc]simplify: Extracting #7: cost 6 inf + 1548 * * [misc]simplify: Extracting #8: cost 1 inf + 3804 * * [misc]simplify: Extracting #9: cost 0 inf + 4408 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 113 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 21 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 88 * * [misc]simplify: Extracting #7: cost 11 inf + 417 * * [misc]simplify: Extracting #8: cost 8 inf + 1105 * * [misc]simplify: Extracting #9: cost 6 inf + 1751 * * [misc]simplify: Extracting #10: cost 0 inf + 4737 * [exit]simplify: Simplified to (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 1346 * * [misc]simplify: Extracting #8: cost 1 inf + 3080 * * [misc]simplify: Extracting #9: cost 0 inf + 3604 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 114 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 7 inf + 251 * * [misc]simplify: Extracting #7: cost 2 inf + 1307 * * [misc]simplify: Extracting #8: cost 0 inf + 2196 * [exit]simplify: Simplified to (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 206 * * [misc]simplify: Extracting #6: cost 6 inf + 614 * * [misc]simplify: Extracting #7: cost 3 inf + 1104 * * [misc]simplify: Extracting #8: cost 0 inf + 2436 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 115 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 21 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 88 * * [misc]simplify: Extracting #7: cost 11 inf + 417 * * [misc]simplify: Extracting #8: cost 8 inf + 1105 * * [misc]simplify: Extracting #9: cost 6 inf + 1751 * * [misc]simplify: Extracting #10: cost 0 inf + 4737 * [exit]simplify: Simplified to (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 1346 * * [misc]simplify: Extracting #8: cost 1 inf + 3080 * * [misc]simplify: Extracting #9: cost 0 inf + 3604 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 116 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 7 inf + 251 * * [misc]simplify: Extracting #7: cost 2 inf + 1307 * * [misc]simplify: Extracting #8: cost 0 inf + 2196 * [exit]simplify: Simplified to (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 206 * * [misc]simplify: Extracting #6: cost 6 inf + 614 * * [misc]simplify: Extracting #7: cost 3 inf + 1104 * * [misc]simplify: Extracting #8: cost 0 inf + 2436 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 117 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 21 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 88 * * [misc]simplify: Extracting #7: cost 11 inf + 417 * * [misc]simplify: Extracting #8: cost 8 inf + 1105 * * [misc]simplify: Extracting #9: cost 6 inf + 1751 * * [misc]simplify: Extracting #10: cost 0 inf + 4737 * [exit]simplify: Simplified to (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 1346 * * [misc]simplify: Extracting #8: cost 1 inf + 3080 * * [misc]simplify: Extracting #9: cost 0 inf + 3604 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 118 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 7 inf + 251 * * [misc]simplify: Extracting #7: cost 2 inf + 1307 * * [misc]simplify: Extracting #8: cost 0 inf + 2196 * [exit]simplify: Simplified to (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 206 * * [misc]simplify: Extracting #6: cost 6 inf + 614 * * [misc]simplify: Extracting #7: cost 3 inf + 1104 * * [misc]simplify: Extracting #8: cost 0 inf + 2436 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 119 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 35 inf + 0 * * [misc]simplify: Extracting #6: cost 29 inf + 87 * * [misc]simplify: Extracting #7: cost 25 inf + 416 * * [misc]simplify: Extracting #8: cost 18 inf + 2476 * * [misc]simplify: Extracting #9: cost 1 inf + 12058 * * [misc]simplify: Extracting #10: cost 0 inf + 12742 * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 250 * * [misc]simplify: Extracting #7: cost 7 inf + 1104 * * [misc]simplify: Extracting #8: cost 1 inf + 3482 * * [misc]simplify: Extracting #9: cost 0 inf + 4126 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 120 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 29 inf + 0 * * [misc]simplify: Extracting #6: cost 23 inf + 87 * * [misc]simplify: Extracting #7: cost 19 inf + 416 * * [misc]simplify: Extracting #8: cost 12 inf + 2436 * * [misc]simplify: Extracting #9: cost 0 inf + 8838 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 250 * * [misc]simplify: Extracting #7: cost 7 inf + 1346 * * [misc]simplify: Extracting #8: cost 3 inf + 2798 * * [misc]simplify: Extracting #9: cost 0 inf + 4448 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 121 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 24 inf + 0 * * [misc]simplify: Extracting #5: cost 30 inf + 0 * * [misc]simplify: Extracting #6: cost 24 inf + 87 * * [misc]simplify: Extracting #7: cost 20 inf + 416 * * [misc]simplify: Extracting #8: cost 12 inf + 2920 * * [misc]simplify: Extracting #9: cost 6 inf + 5378 * * [misc]simplify: Extracting #10: cost 0 inf + 9280 * [exit]simplify: Simplified to (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 250 * * [misc]simplify: Extracting #7: cost 8 inf + 1306 * * [misc]simplify: Extracting #8: cost 1 inf + 4046 * * [misc]simplify: Extracting #9: cost 0 inf + 4770 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 122 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 208 * * [misc]simplify: Extracting #7: cost 10 inf + 898 * * [misc]simplify: Extracting #8: cost 8 inf + 1346 * * [misc]simplify: Extracting #9: cost 2 inf + 4210 * * [misc]simplify: Extracting #10: cost 0 inf + 5298 * [exit]simplify: Simplified to (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 902 * * [misc]simplify: Extracting #8: cost 0 inf + 2758 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 123 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 46 * * [misc]simplify: Extracting #7: cost 11 inf + 293 * * [misc]simplify: Extracting #8: cost 7 inf + 1105 * * [misc]simplify: Extracting #9: cost 2 inf + 3283 * * [misc]simplify: Extracting #10: cost 0 inf + 4252 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1104 * * [misc]simplify: Extracting #8: cost 3 inf + 2274 * * [misc]simplify: Extracting #9: cost 0 inf + 3604 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 124 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 208 * * [misc]simplify: Extracting #7: cost 10 inf + 898 * * [misc]simplify: Extracting #8: cost 8 inf + 1346 * * [misc]simplify: Extracting #9: cost 2 inf + 4210 * * [misc]simplify: Extracting #10: cost 0 inf + 5298 * [exit]simplify: Simplified to (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 902 * * [misc]simplify: Extracting #8: cost 0 inf + 2758 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 125 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 209 * * [misc]simplify: Extracting #7: cost 8 inf + 899 * * [misc]simplify: Extracting #8: cost 5 inf + 1751 * * [misc]simplify: Extracting #9: cost 1 inf + 3688 * * [misc]simplify: Extracting #10: cost 0 inf + 4252 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1104 * * [misc]simplify: Extracting #8: cost 3 inf + 2274 * * [misc]simplify: Extracting #9: cost 0 inf + 3604 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 126 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 208 * * [misc]simplify: Extracting #7: cost 10 inf + 898 * * [misc]simplify: Extracting #8: cost 8 inf + 1346 * * [misc]simplify: Extracting #9: cost 2 inf + 4210 * * [misc]simplify: Extracting #10: cost 0 inf + 5298 * [exit]simplify: Simplified to (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 902 * * [misc]simplify: Extracting #8: cost 0 inf + 2758 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 127 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 251 * * [misc]simplify: Extracting #7: cost 7 inf + 1105 * * [misc]simplify: Extracting #8: cost 1 inf + 3688 * * [misc]simplify: Extracting #9: cost 0 inf + 4252 * [exit]simplify: Simplified to (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1104 * * [misc]simplify: Extracting #8: cost 3 inf + 2274 * * [misc]simplify: Extracting #9: cost 0 inf + 3604 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 128 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 38 inf + 0 * * [misc]simplify: Extracting #2: cost 112 inf + 1 * * [misc]simplify: Extracting #3: cost 120 inf + 1 * * [misc]simplify: Extracting #4: cost 123 inf + 1 * * [misc]simplify: Extracting #5: cost 129 inf + 1 * * [misc]simplify: Extracting #6: cost 120 inf + 295 * * [misc]simplify: Extracting #7: cost 119 inf + 417 * * [misc]simplify: Extracting #8: cost 86 inf + 14467 * * [misc]simplify: Extracting #9: cost 25 inf + 46639 * * [misc]simplify: Extracting #10: cost 0 inf + 61943 * [exit]simplify: Simplified to (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 1386 * * [misc]simplify: Extracting #8: cost 1 inf + 3200 * * [misc]simplify: Extracting #9: cost 0 inf + 3764 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 129 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 21 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 88 * * [misc]simplify: Extracting #7: cost 11 inf + 417 * * [misc]simplify: Extracting #8: cost 9 inf + 903 * * [misc]simplify: Extracting #9: cost 2 inf + 3566 * * [misc]simplify: Extracting #10: cost 0 inf + 4734 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1346 * * [misc]simplify: Extracting #8: cost 1 inf + 3442 * * [misc]simplify: Extracting #9: cost 0 inf + 4086 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 130 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 22 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 87 * * [misc]simplify: Extracting #7: cost 13 inf + 293 * * [misc]simplify: Extracting #8: cost 6 inf + 1871 * * [misc]simplify: Extracting #9: cost 0 inf + 5016 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 452 * * [misc]simplify: Extracting #7: cost 6 inf + 1548 * * [misc]simplify: Extracting #8: cost 1 inf + 3804 * * [misc]simplify: Extracting #9: cost 0 inf + 4408 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 131 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 251 * * [misc]simplify: Extracting #7: cost 8 inf + 903 * * [misc]simplify: Extracting #8: cost 3 inf + 2720 * * [misc]simplify: Extracting #9: cost 0 inf + 4252 * [exit]simplify: Simplified to (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 1346 * * [misc]simplify: Extracting #8: cost 1 inf + 3080 * * [misc]simplify: Extracting #9: cost 0 inf + 3604 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 132 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 7 inf + 251 * * [misc]simplify: Extracting #7: cost 2 inf + 1307 * * [misc]simplify: Extracting #8: cost 0 inf + 2196 * [exit]simplify: Simplified to (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 206 * * [misc]simplify: Extracting #6: cost 6 inf + 614 * * [misc]simplify: Extracting #7: cost 3 inf + 1104 * * [misc]simplify: Extracting #8: cost 0 inf + 2436 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 133 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 251 * * [misc]simplify: Extracting #7: cost 8 inf + 903 * * [misc]simplify: Extracting #8: cost 3 inf + 2720 * * [misc]simplify: Extracting #9: cost 0 inf + 4252 * [exit]simplify: Simplified to (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 1346 * * [misc]simplify: Extracting #8: cost 1 inf + 3080 * * [misc]simplify: Extracting #9: cost 0 inf + 3604 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 134 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 7 inf + 251 * * [misc]simplify: Extracting #7: cost 3 inf + 903 * * [misc]simplify: Extracting #8: cost 0 inf + 2196 * [exit]simplify: Simplified to (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 206 * * [misc]simplify: Extracting #6: cost 6 inf + 614 * * [misc]simplify: Extracting #7: cost 3 inf + 1104 * * [misc]simplify: Extracting #8: cost 0 inf + 2436 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 135 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 251 * * [misc]simplify: Extracting #7: cost 8 inf + 903 * * [misc]simplify: Extracting #8: cost 3 inf + 2720 * * [misc]simplify: Extracting #9: cost 0 inf + 4252 * [exit]simplify: Simplified to (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 1346 * * [misc]simplify: Extracting #8: cost 1 inf + 3080 * * [misc]simplify: Extracting #9: cost 0 inf + 3604 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 136 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 7 inf + 251 * * [misc]simplify: Extracting #7: cost 3 inf + 903 * * [misc]simplify: Extracting #8: cost 1 inf + 1752 * * [misc]simplify: Extracting #9: cost 0 inf + 2196 * [exit]simplify: Simplified to (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 206 * * [misc]simplify: Extracting #6: cost 6 inf + 614 * * [misc]simplify: Extracting #7: cost 3 inf + 1104 * * [misc]simplify: Extracting #8: cost 0 inf + 2436 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 137 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 35 inf + 0 * * [misc]simplify: Extracting #6: cost 29 inf + 87 * * [misc]simplify: Extracting #7: cost 25 inf + 416 * * [misc]simplify: Extracting #8: cost 18 inf + 2476 * * [misc]simplify: Extracting #9: cost 1 inf + 12058 * * [misc]simplify: Extracting #10: cost 0 inf + 12742 * [exit]simplify: Simplified to (/ (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 250 * * [misc]simplify: Extracting #7: cost 7 inf + 1104 * * [misc]simplify: Extracting #8: cost 1 inf + 3482 * * [misc]simplify: Extracting #9: cost 0 inf + 4126 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 138 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 29 inf + 0 * * [misc]simplify: Extracting #6: cost 23 inf + 87 * * [misc]simplify: Extracting #7: cost 19 inf + 416 * * [misc]simplify: Extracting #8: cost 12 inf + 2436 * * [misc]simplify: Extracting #9: cost 0 inf + 8838 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 250 * * [misc]simplify: Extracting #7: cost 7 inf + 1346 * * [misc]simplify: Extracting #8: cost 3 inf + 2798 * * [misc]simplify: Extracting #9: cost 0 inf + 4448 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 139 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 24 inf + 0 * * [misc]simplify: Extracting #5: cost 30 inf + 0 * * [misc]simplify: Extracting #6: cost 24 inf + 87 * * [misc]simplify: Extracting #7: cost 20 inf + 416 * * [misc]simplify: Extracting #8: cost 12 inf + 2920 * * [misc]simplify: Extracting #9: cost 6 inf + 5378 * * [misc]simplify: Extracting #10: cost 0 inf + 9280 * [exit]simplify: Simplified to (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 250 * * [misc]simplify: Extracting #7: cost 8 inf + 1306 * * [misc]simplify: Extracting #8: cost 1 inf + 4046 * * [misc]simplify: Extracting #9: cost 0 inf + 4770 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 140 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 208 * * [misc]simplify: Extracting #7: cost 10 inf + 898 * * [misc]simplify: Extracting #8: cost 8 inf + 1346 * * [misc]simplify: Extracting #9: cost 2 inf + 4210 * * [misc]simplify: Extracting #10: cost 0 inf + 5298 * [exit]simplify: Simplified to (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 902 * * [misc]simplify: Extracting #8: cost 0 inf + 2758 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 141 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 46 * * [misc]simplify: Extracting #7: cost 11 inf + 293 * * [misc]simplify: Extracting #8: cost 7 inf + 1105 * * [misc]simplify: Extracting #9: cost 2 inf + 3283 * * [misc]simplify: Extracting #10: cost 0 inf + 4252 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1104 * * [misc]simplify: Extracting #8: cost 3 inf + 2274 * * [misc]simplify: Extracting #9: cost 0 inf + 3604 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 142 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 208 * * [misc]simplify: Extracting #7: cost 10 inf + 898 * * [misc]simplify: Extracting #8: cost 8 inf + 1346 * * [misc]simplify: Extracting #9: cost 2 inf + 4210 * * [misc]simplify: Extracting #10: cost 0 inf + 5298 * [exit]simplify: Simplified to (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 902 * * [misc]simplify: Extracting #8: cost 0 inf + 2758 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 143 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 209 * * [misc]simplify: Extracting #7: cost 8 inf + 899 * * [misc]simplify: Extracting #8: cost 5 inf + 1751 * * [misc]simplify: Extracting #9: cost 1 inf + 3688 * * [misc]simplify: Extracting #10: cost 0 inf + 4252 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1104 * * [misc]simplify: Extracting #8: cost 3 inf + 2274 * * [misc]simplify: Extracting #9: cost 0 inf + 3604 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 144 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 208 * * [misc]simplify: Extracting #7: cost 10 inf + 898 * * [misc]simplify: Extracting #8: cost 8 inf + 1346 * * [misc]simplify: Extracting #9: cost 2 inf + 4210 * * [misc]simplify: Extracting #10: cost 0 inf + 5298 * [exit]simplify: Simplified to (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 902 * * [misc]simplify: Extracting #8: cost 0 inf + 2758 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 145 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 251 * * [misc]simplify: Extracting #7: cost 7 inf + 1105 * * [misc]simplify: Extracting #8: cost 1 inf + 3688 * * [misc]simplify: Extracting #9: cost 0 inf + 4252 * [exit]simplify: Simplified to (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1104 * * [misc]simplify: Extracting #8: cost 3 inf + 2274 * * [misc]simplify: Extracting #9: cost 0 inf + 3604 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 146 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (340 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 128 inf + 0 * * [misc]simplify: Extracting #2: cost 258 inf + 1 * * [misc]simplify: Extracting #3: cost 276 inf + 1 * * [misc]simplify: Extracting #4: cost 279 inf + 1 * * [misc]simplify: Extracting #5: cost 285 inf + 1 * * [misc]simplify: Extracting #6: cost 256 inf + 8175 * * [misc]simplify: Extracting #7: cost 120 inf + 76273 * * [misc]simplify: Extracting #8: cost 13 inf + 139442 * * [misc]simplify: Extracting #9: cost 0 inf + 147458 * [exit]simplify: Simplified to (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 1386 * * [misc]simplify: Extracting #8: cost 1 inf + 3200 * * [misc]simplify: Extracting #9: cost 0 inf + 3764 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 147 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 21 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 129 * * [misc]simplify: Extracting #7: cost 11 inf + 417 * * [misc]simplify: Extracting #8: cost 6 inf + 1831 * * [misc]simplify: Extracting #9: cost 1 inf + 4130 * * [misc]simplify: Extracting #10: cost 0 inf + 4734 * [exit]simplify: Simplified to (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1346 * * [misc]simplify: Extracting #8: cost 1 inf + 3442 * * [misc]simplify: Extracting #9: cost 0 inf + 4086 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 148 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 22 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 251 * * [misc]simplify: Extracting #7: cost 7 inf + 1629 * * [misc]simplify: Extracting #8: cost 3 inf + 3483 * * [misc]simplify: Extracting #9: cost 0 inf + 5016 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 452 * * [misc]simplify: Extracting #7: cost 6 inf + 1548 * * [misc]simplify: Extracting #8: cost 1 inf + 3804 * * [misc]simplify: Extracting #9: cost 0 inf + 4408 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 149 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 251 * * [misc]simplify: Extracting #7: cost 5 inf + 1953 * * [misc]simplify: Extracting #8: cost 1 inf + 3728 * * [misc]simplify: Extracting #9: cost 0 inf + 4252 * [exit]simplify: Simplified to (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 1346 * * [misc]simplify: Extracting #8: cost 1 inf + 3080 * * [misc]simplify: Extracting #9: cost 0 inf + 3604 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 150 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 7 inf + 251 * * [misc]simplify: Extracting #7: cost 3 inf + 903 * * [misc]simplify: Extracting #8: cost 1 inf + 1751 * * [misc]simplify: Extracting #9: cost 0 inf + 2196 * [exit]simplify: Simplified to (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 206 * * [misc]simplify: Extracting #6: cost 6 inf + 614 * * [misc]simplify: Extracting #7: cost 3 inf + 1104 * * [misc]simplify: Extracting #8: cost 0 inf + 2436 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 151 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 251 * * [misc]simplify: Extracting #7: cost 5 inf + 1953 * * [misc]simplify: Extracting #8: cost 1 inf + 3728 * * [misc]simplify: Extracting #9: cost 0 inf + 4252 * [exit]simplify: Simplified to (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 1346 * * [misc]simplify: Extracting #8: cost 1 inf + 3080 * * [misc]simplify: Extracting #9: cost 0 inf + 3604 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 152 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 7 inf + 251 * * [misc]simplify: Extracting #7: cost 1 inf + 1751 * * [misc]simplify: Extracting #8: cost 0 inf + 2196 * [exit]simplify: Simplified to (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 206 * * [misc]simplify: Extracting #6: cost 6 inf + 614 * * [misc]simplify: Extracting #7: cost 3 inf + 1104 * * [misc]simplify: Extracting #8: cost 0 inf + 2436 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 153 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 251 * * [misc]simplify: Extracting #7: cost 5 inf + 1953 * * [misc]simplify: Extracting #8: cost 1 inf + 3728 * * [misc]simplify: Extracting #9: cost 0 inf + 4252 * [exit]simplify: Simplified to (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 1346 * * [misc]simplify: Extracting #8: cost 1 inf + 3080 * * [misc]simplify: Extracting #9: cost 0 inf + 3604 * [exit]simplify: Simplified to (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 154 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) 1) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 7 inf + 251 * * [misc]simplify: Extracting #7: cost 3 inf + 903 * * [misc]simplify: Extracting #8: cost 1 inf + 1751 * * [misc]simplify: Extracting #9: cost 0 inf + 2196 * [exit]simplify: Simplified to (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 206 * * [misc]simplify: Extracting #6: cost 6 inf + 614 * * [misc]simplify: Extracting #7: cost 3 inf + 1104 * * [misc]simplify: Extracting #8: cost 0 inf + 2436 * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 155 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 2 * * [misc]simplify: Extracting #5: cost 21 inf + 2 * * [misc]simplify: Extracting #6: cost 14 inf + 130 * * [misc]simplify: Extracting #7: cost 11 inf + 418 * * [misc]simplify: Extracting #8: cost 8 inf + 1106 * * [misc]simplify: Extracting #9: cost 2 inf + 3364 * * [misc]simplify: Extracting #10: cost 0 inf + 4492 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 0 * * [misc]simplify: Extracting #6: cost 10 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 1104 * * [misc]simplify: Extracting #8: cost 2 inf + 2274 * * [misc]simplify: Extracting #9: cost 0 inf + 3160 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 156 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 26 inf + 0 * * [misc]simplify: Extracting #6: cost 20 inf + 87 * * [misc]simplify: Extracting #7: cost 16 inf + 416 * * [misc]simplify: Extracting #8: cost 11 inf + 1710 * * [misc]simplify: Extracting #9: cost 1 inf + 6138 * * [misc]simplify: Extracting #10: cost 0 inf + 6822 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 250 * * [misc]simplify: Extracting #7: cost 7 inf + 1346 * * [misc]simplify: Extracting #8: cost 3 inf + 2798 * * [misc]simplify: Extracting #9: cost 0 inf + 4448 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 157 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 27 inf + 0 * * [misc]simplify: Extracting #6: cost 21 inf + 87 * * [misc]simplify: Extracting #7: cost 17 inf + 416 * * [misc]simplify: Extracting #8: cost 12 inf + 1670 * * [misc]simplify: Extracting #9: cost 6 inf + 3604 * * [misc]simplify: Extracting #10: cost 0 inf + 7184 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 250 * * [misc]simplify: Extracting #7: cost 8 inf + 1306 * * [misc]simplify: Extracting #8: cost 1 inf + 4046 * * [misc]simplify: Extracting #9: cost 0 inf + 4770 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 158 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 24 inf + 0 * * [misc]simplify: Extracting #6: cost 18 inf + 87 * * [misc]simplify: Extracting #7: cost 14 inf + 416 * * [misc]simplify: Extracting #8: cost 10 inf + 1468 * * [misc]simplify: Extracting #9: cost 4 inf + 3764 * * [misc]simplify: Extracting #10: cost 0 inf + 5898 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 250 * * [misc]simplify: Extracting #7: cost 7 inf + 1104 * * [misc]simplify: Extracting #8: cost 1 inf + 3362 * * [misc]simplify: Extracting #9: cost 0 inf + 3966 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 159 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 251 * * [misc]simplify: Extracting #7: cost 5 inf + 1105 * * [misc]simplify: Extracting #8: cost 3 inf + 1751 * * [misc]simplify: Extracting #9: cost 0 inf + 3161 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1104 * * [misc]simplify: Extracting #8: cost 3 inf + 2274 * * [misc]simplify: Extracting #9: cost 0 inf + 3604 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 160 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 24 inf + 0 * * [misc]simplify: Extracting #6: cost 18 inf + 87 * * [misc]simplify: Extracting #7: cost 14 inf + 416 * * [misc]simplify: Extracting #8: cost 10 inf + 1468 * * [misc]simplify: Extracting #9: cost 4 inf + 3764 * * [misc]simplify: Extracting #10: cost 0 inf + 5898 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 250 * * [misc]simplify: Extracting #7: cost 7 inf + 1104 * * [misc]simplify: Extracting #8: cost 1 inf + 3362 * * [misc]simplify: Extracting #9: cost 0 inf + 3966 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 161 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 88 * * [misc]simplify: Extracting #7: cost 8 inf + 417 * * [misc]simplify: Extracting #8: cost 3 inf + 1751 * * [misc]simplify: Extracting #9: cost 1 inf + 2597 * * [misc]simplify: Extracting #10: cost 0 inf + 3161 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1104 * * [misc]simplify: Extracting #8: cost 3 inf + 2274 * * [misc]simplify: Extracting #9: cost 0 inf + 3604 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 162 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 24 inf + 0 * * [misc]simplify: Extracting #6: cost 18 inf + 87 * * [misc]simplify: Extracting #7: cost 14 inf + 416 * * [misc]simplify: Extracting #8: cost 10 inf + 1468 * * [misc]simplify: Extracting #9: cost 4 inf + 3764 * * [misc]simplify: Extracting #10: cost 0 inf + 5898 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 250 * * [misc]simplify: Extracting #7: cost 7 inf + 1104 * * [misc]simplify: Extracting #8: cost 1 inf + 3362 * * [misc]simplify: Extracting #9: cost 0 inf + 3966 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 163 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 251 * * [misc]simplify: Extracting #7: cost 5 inf + 1105 * * [misc]simplify: Extracting #8: cost 3 inf + 1751 * * [misc]simplify: Extracting #9: cost 0 inf + 3161 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1104 * * [misc]simplify: Extracting #8: cost 3 inf + 2274 * * [misc]simplify: Extracting #9: cost 0 inf + 3604 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 164 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 26 inf + 0 * * [misc]simplify: Extracting #6: cost 20 inf + 87 * * [misc]simplify: Extracting #7: cost 16 inf + 416 * * [misc]simplify: Extracting #8: cost 11 inf + 1710 * * [misc]simplify: Extracting #9: cost 5 inf + 4168 * * [misc]simplify: Extracting #10: cost 0 inf + 6822 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 250 * * [misc]simplify: Extracting #7: cost 7 inf + 1346 * * [misc]simplify: Extracting #8: cost 3 inf + 2798 * * [misc]simplify: Extracting #9: cost 0 inf + 4448 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 165 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 0 * * [misc]simplify: Extracting #6: cost 10 inf + 250 * * [misc]simplify: Extracting #7: cost 4 inf + 1426 * * [misc]simplify: Extracting #8: cost 1 inf + 2596 * * [misc]simplify: Extracting #9: cost 0 inf + 3120 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 902 * * [misc]simplify: Extracting #8: cost 0 inf + 2798 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 166 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 24 inf + 0 * * [misc]simplify: Extracting #6: cost 18 inf + 87 * * [misc]simplify: Extracting #7: cost 14 inf + 416 * * [misc]simplify: Extracting #8: cost 9 inf + 1710 * * [misc]simplify: Extracting #9: cost 2 inf + 4046 * * [misc]simplify: Extracting #10: cost 0 inf + 5334 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 250 * * [misc]simplify: Extracting #7: cost 8 inf + 1346 * * [misc]simplify: Extracting #8: cost 1 inf + 4086 * * [misc]simplify: Extracting #9: cost 0 inf + 4810 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 167 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 250 * * [misc]simplify: Extracting #7: cost 8 inf + 1426 * * [misc]simplify: Extracting #8: cost 3 inf + 3040 * * [misc]simplify: Extracting #9: cost 0 inf + 4570 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 250 * * [misc]simplify: Extracting #7: cost 7 inf + 1346 * * [misc]simplify: Extracting #8: cost 3 inf + 2758 * * [misc]simplify: Extracting #9: cost 0 inf + 4288 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 168 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 251 * * [misc]simplify: Extracting #7: cost 2 inf + 1791 * * [misc]simplify: Extracting #8: cost 0 inf + 2597 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1346 * * [misc]simplify: Extracting #8: cost 1 inf + 3322 * * [misc]simplify: Extracting #9: cost 0 inf + 3926 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 169 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 250 * * [misc]simplify: Extracting #7: cost 8 inf + 1426 * * [misc]simplify: Extracting #8: cost 3 inf + 3040 * * [misc]simplify: Extracting #9: cost 0 inf + 4570 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 250 * * [misc]simplify: Extracting #7: cost 7 inf + 1346 * * [misc]simplify: Extracting #8: cost 3 inf + 2758 * * [misc]simplify: Extracting #9: cost 0 inf + 4288 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 170 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 251 * * [misc]simplify: Extracting #7: cost 3 inf + 1427 * * [misc]simplify: Extracting #8: cost 1 inf + 2073 * * [misc]simplify: Extracting #9: cost 0 inf + 2597 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1346 * * [misc]simplify: Extracting #8: cost 1 inf + 3322 * * [misc]simplify: Extracting #9: cost 0 inf + 3926 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 171 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 250 * * [misc]simplify: Extracting #7: cost 8 inf + 1426 * * [misc]simplify: Extracting #8: cost 3 inf + 3040 * * [misc]simplify: Extracting #9: cost 0 inf + 4570 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 250 * * [misc]simplify: Extracting #7: cost 7 inf + 1346 * * [misc]simplify: Extracting #8: cost 3 inf + 2758 * * [misc]simplify: Extracting #9: cost 0 inf + 4288 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 172 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 251 * * [misc]simplify: Extracting #7: cost 2 inf + 1791 * * [misc]simplify: Extracting #8: cost 0 inf + 2597 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1346 * * [misc]simplify: Extracting #8: cost 1 inf + 3322 * * [misc]simplify: Extracting #9: cost 0 inf + 3926 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 173 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 27 inf + 0 * * [misc]simplify: Extracting #6: cost 21 inf + 87 * * [misc]simplify: Extracting #7: cost 16 inf + 618 * * [misc]simplify: Extracting #8: cost 9 inf + 2436 * * [misc]simplify: Extracting #9: cost 3 inf + 5132 * * [misc]simplify: Extracting #10: cost 0 inf + 7184 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 452 * * [misc]simplify: Extracting #7: cost 7 inf + 1628 * * [misc]simplify: Extracting #8: cost 1 inf + 4046 * * [misc]simplify: Extracting #9: cost 0 inf + 4770 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 174 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 24 inf + 0 * * [misc]simplify: Extracting #6: cost 18 inf + 87 * * [misc]simplify: Extracting #7: cost 13 inf + 618 * * [misc]simplify: Extracting #8: cost 4 inf + 3240 * * [misc]simplify: Extracting #9: cost 0 inf + 5334 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 452 * * [misc]simplify: Extracting #7: cost 7 inf + 1628 * * [misc]simplify: Extracting #8: cost 1 inf + 4086 * * [misc]simplify: Extracting #9: cost 0 inf + 4810 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 175 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 694 * * [misc]simplify: Extracting #7: cost 3 inf + 1870 * * [misc]simplify: Extracting #8: cost 1 inf + 2758 * * [misc]simplify: Extracting #9: cost 0 inf + 3322 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 452 * * [misc]simplify: Extracting #7: cost 3 inf + 1628 * * [misc]simplify: Extracting #8: cost 1 inf + 2556 * * [misc]simplify: Extracting #9: cost 0 inf + 3080 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 176 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 694 * * [misc]simplify: Extracting #7: cost 6 inf + 2072 * * [misc]simplify: Extracting #8: cost 2 inf + 3604 * * [misc]simplify: Extracting #9: cost 0 inf + 4852 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 452 * * [misc]simplify: Extracting #7: cost 7 inf + 1628 * * [misc]simplify: Extracting #8: cost 1 inf + 3926 * * [misc]simplify: Extracting #9: cost 0 inf + 4610 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 177 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 8 inf + 695 * * [misc]simplify: Extracting #7: cost 2 inf + 1871 * * [misc]simplify: Extracting #8: cost 1 inf + 2235 * * [misc]simplify: Extracting #9: cost 0 inf + 2799 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 452 * * [misc]simplify: Extracting #7: cost 6 inf + 1628 * * [misc]simplify: Extracting #8: cost 1 inf + 3804 * * [misc]simplify: Extracting #9: cost 0 inf + 4248 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 178 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 694 * * [misc]simplify: Extracting #7: cost 6 inf + 2072 * * [misc]simplify: Extracting #8: cost 2 inf + 3604 * * [misc]simplify: Extracting #9: cost 0 inf + 4852 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 452 * * [misc]simplify: Extracting #7: cost 7 inf + 1628 * * [misc]simplify: Extracting #8: cost 1 inf + 3926 * * [misc]simplify: Extracting #9: cost 0 inf + 4610 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 179 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 8 inf + 695 * * [misc]simplify: Extracting #7: cost 1 inf + 2235 * * [misc]simplify: Extracting #8: cost 0 inf + 2799 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 452 * * [misc]simplify: Extracting #7: cost 6 inf + 1628 * * [misc]simplify: Extracting #8: cost 1 inf + 3804 * * [misc]simplify: Extracting #9: cost 0 inf + 4248 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 180 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 694 * * [misc]simplify: Extracting #7: cost 6 inf + 2072 * * [misc]simplify: Extracting #8: cost 2 inf + 3604 * * [misc]simplify: Extracting #9: cost 0 inf + 4852 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 452 * * [misc]simplify: Extracting #7: cost 7 inf + 1628 * * [misc]simplify: Extracting #8: cost 1 inf + 3926 * * [misc]simplify: Extracting #9: cost 0 inf + 4610 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 181 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 8 inf + 695 * * [misc]simplify: Extracting #7: cost 2 inf + 1871 * * [misc]simplify: Extracting #8: cost 1 inf + 2235 * * [misc]simplify: Extracting #9: cost 0 inf + 2799 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 452 * * [misc]simplify: Extracting #7: cost 6 inf + 1628 * * [misc]simplify: Extracting #8: cost 1 inf + 3804 * * [misc]simplify: Extracting #9: cost 0 inf + 4248 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 182 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 24 inf + 0 * * [misc]simplify: Extracting #6: cost 18 inf + 87 * * [misc]simplify: Extracting #7: cost 14 inf + 416 * * [misc]simplify: Extracting #8: cost 10 inf + 1468 * * [misc]simplify: Extracting #9: cost 6 inf + 3000 * * [misc]simplify: Extracting #10: cost 0 inf + 5898 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 250 * * [misc]simplify: Extracting #7: cost 7 inf + 1104 * * [misc]simplify: Extracting #8: cost 1 inf + 3362 * * [misc]simplify: Extracting #9: cost 0 inf + 3966 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 183 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 250 * * [misc]simplify: Extracting #7: cost 7 inf + 1628 * * [misc]simplify: Extracting #8: cost 3 inf + 3000 * * [misc]simplify: Extracting #9: cost 0 inf + 4570 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 250 * * [misc]simplify: Extracting #7: cost 7 inf + 1346 * * [misc]simplify: Extracting #8: cost 3 inf + 2718 * * [misc]simplify: Extracting #9: cost 0 inf + 4288 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 184 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 250 * * [misc]simplify: Extracting #7: cost 8 inf + 1548 * * [misc]simplify: Extracting #8: cost 1 inf + 4168 * * [misc]simplify: Extracting #9: cost 0 inf + 4852 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 250 * * [misc]simplify: Extracting #7: cost 8 inf + 1306 * * [misc]simplify: Extracting #8: cost 1 inf + 3926 * * [misc]simplify: Extracting #9: cost 0 inf + 4610 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 185 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 902 * * [misc]simplify: Extracting #8: cost 0 inf + 2638 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 902 * * [misc]simplify: Extracting #8: cost 0 inf + 2638 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 186 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 8 inf + 251 * * [misc]simplify: Extracting #7: cost 2 inf + 1469 * * [misc]simplify: Extracting #8: cost 1 inf + 1711 * * [misc]simplify: Extracting #9: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1104 * * [misc]simplify: Extracting #8: cost 3 inf + 2194 * * [misc]simplify: Extracting #9: cost 0 inf + 3444 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 187 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 902 * * [misc]simplify: Extracting #8: cost 0 inf + 2638 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 902 * * [misc]simplify: Extracting #8: cost 0 inf + 2638 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 188 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 8 inf + 251 * * [misc]simplify: Extracting #7: cost 3 inf + 1105 * * [misc]simplify: Extracting #8: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1104 * * [misc]simplify: Extracting #8: cost 3 inf + 2194 * * [misc]simplify: Extracting #9: cost 0 inf + 3444 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 189 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 902 * * [misc]simplify: Extracting #8: cost 0 inf + 2638 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 902 * * [misc]simplify: Extracting #8: cost 0 inf + 2638 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 190 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 8 inf + 251 * * [misc]simplify: Extracting #7: cost 3 inf + 1105 * * [misc]simplify: Extracting #8: cost 1 inf + 1711 * * [misc]simplify: Extracting #9: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1104 * * [misc]simplify: Extracting #8: cost 3 inf + 2194 * * [misc]simplify: Extracting #9: cost 0 inf + 3444 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 191 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 251 * * [misc]simplify: Extracting #7: cost 6 inf + 903 * * [misc]simplify: Extracting #8: cost 3 inf + 1751 * * [misc]simplify: Extracting #9: cost 0 inf + 3161 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 1386 * * [misc]simplify: Extracting #8: cost 1 inf + 3080 * * [misc]simplify: Extracting #9: cost 0 inf + 3604 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 192 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 251 * * [misc]simplify: Extracting #7: cost 5 inf + 903 * * [misc]simplify: Extracting #8: cost 0 inf + 2597 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1346 * * [misc]simplify: Extracting #8: cost 1 inf + 3322 * * [misc]simplify: Extracting #9: cost 0 inf + 3926 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 193 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 251 * * [misc]simplify: Extracting #7: cost 2 inf + 1871 * * [misc]simplify: Extracting #8: cost 1 inf + 2235 * * [misc]simplify: Extracting #9: cost 0 inf + 2799 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 452 * * [misc]simplify: Extracting #7: cost 6 inf + 1548 * * [misc]simplify: Extracting #8: cost 1 inf + 3684 * * [misc]simplify: Extracting #9: cost 0 inf + 4248 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 194 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 8 inf + 251 * * [misc]simplify: Extracting #7: cost 4 inf + 903 * * [misc]simplify: Extracting #8: cost 1 inf + 1711 * * [misc]simplify: Extracting #9: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 1346 * * [misc]simplify: Extracting #8: cost 1 inf + 2960 * * [misc]simplify: Extracting #9: cost 0 inf + 3444 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 195 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 251 * * [misc]simplify: Extracting #6: cost 1 inf + 903 * * [misc]simplify: Extracting #7: cost 0 inf + 1267 * [exit]simplify: Simplified to (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 206 * * [misc]simplify: Extracting #6: cost 6 inf + 614 * * [misc]simplify: Extracting #7: cost 3 inf + 1104 * * [misc]simplify: Extracting #8: cost 0 inf + 2316 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 196 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 8 inf + 251 * * [misc]simplify: Extracting #7: cost 4 inf + 903 * * [misc]simplify: Extracting #8: cost 1 inf + 1711 * * [misc]simplify: Extracting #9: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 1346 * * [misc]simplify: Extracting #8: cost 1 inf + 2960 * * [misc]simplify: Extracting #9: cost 0 inf + 3444 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 197 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 251 * * [misc]simplify: Extracting #6: cost 1 inf + 903 * * [misc]simplify: Extracting #7: cost 0 inf + 1267 * [exit]simplify: Simplified to (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 206 * * [misc]simplify: Extracting #6: cost 6 inf + 614 * * [misc]simplify: Extracting #7: cost 3 inf + 1104 * * [misc]simplify: Extracting #8: cost 0 inf + 2316 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 198 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 8 inf + 251 * * [misc]simplify: Extracting #7: cost 4 inf + 903 * * [misc]simplify: Extracting #8: cost 1 inf + 1711 * * [misc]simplify: Extracting #9: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 1346 * * [misc]simplify: Extracting #8: cost 1 inf + 2960 * * [misc]simplify: Extracting #9: cost 0 inf + 3444 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 199 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 251 * * [misc]simplify: Extracting #6: cost 1 inf + 903 * * [misc]simplify: Extracting #7: cost 0 inf + 1267 * [exit]simplify: Simplified to (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 206 * * [misc]simplify: Extracting #6: cost 6 inf + 614 * * [misc]simplify: Extracting #7: cost 3 inf + 1104 * * [misc]simplify: Extracting #8: cost 0 inf + 2316 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 200 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 24 inf + 0 * * [misc]simplify: Extracting #6: cost 18 inf + 87 * * [misc]simplify: Extracting #7: cost 14 inf + 416 * * [misc]simplify: Extracting #8: cost 10 inf + 1468 * * [misc]simplify: Extracting #9: cost 6 inf + 3000 * * [misc]simplify: Extracting #10: cost 0 inf + 5898 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 250 * * [misc]simplify: Extracting #7: cost 7 inf + 1104 * * [misc]simplify: Extracting #8: cost 1 inf + 3362 * * [misc]simplify: Extracting #9: cost 0 inf + 3966 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 201 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 250 * * [misc]simplify: Extracting #7: cost 7 inf + 1628 * * [misc]simplify: Extracting #8: cost 3 inf + 3000 * * [misc]simplify: Extracting #9: cost 0 inf + 4570 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 250 * * [misc]simplify: Extracting #7: cost 7 inf + 1346 * * [misc]simplify: Extracting #8: cost 3 inf + 2718 * * [misc]simplify: Extracting #9: cost 0 inf + 4288 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 202 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 250 * * [misc]simplify: Extracting #7: cost 8 inf + 1548 * * [misc]simplify: Extracting #8: cost 1 inf + 4168 * * [misc]simplify: Extracting #9: cost 0 inf + 4852 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 250 * * [misc]simplify: Extracting #7: cost 8 inf + 1306 * * [misc]simplify: Extracting #8: cost 1 inf + 3926 * * [misc]simplify: Extracting #9: cost 0 inf + 4610 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 203 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 902 * * [misc]simplify: Extracting #8: cost 0 inf + 2638 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 902 * * [misc]simplify: Extracting #8: cost 0 inf + 2638 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 204 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 8 inf + 251 * * [misc]simplify: Extracting #7: cost 2 inf + 1469 * * [misc]simplify: Extracting #8: cost 1 inf + 1711 * * [misc]simplify: Extracting #9: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1104 * * [misc]simplify: Extracting #8: cost 3 inf + 2194 * * [misc]simplify: Extracting #9: cost 0 inf + 3444 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 205 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 902 * * [misc]simplify: Extracting #8: cost 0 inf + 2638 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 902 * * [misc]simplify: Extracting #8: cost 0 inf + 2638 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 206 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 8 inf + 251 * * [misc]simplify: Extracting #7: cost 3 inf + 1105 * * [misc]simplify: Extracting #8: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1104 * * [misc]simplify: Extracting #8: cost 3 inf + 2194 * * [misc]simplify: Extracting #9: cost 0 inf + 3444 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 207 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 902 * * [misc]simplify: Extracting #8: cost 0 inf + 2638 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 902 * * [misc]simplify: Extracting #8: cost 0 inf + 2638 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 208 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 8 inf + 251 * * [misc]simplify: Extracting #7: cost 3 inf + 1105 * * [misc]simplify: Extracting #8: cost 1 inf + 1711 * * [misc]simplify: Extracting #9: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1104 * * [misc]simplify: Extracting #8: cost 3 inf + 2194 * * [misc]simplify: Extracting #9: cost 0 inf + 3444 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 209 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 251 * * [misc]simplify: Extracting #7: cost 3 inf + 1751 * * [misc]simplify: Extracting #8: cost 1 inf + 2597 * * [misc]simplify: Extracting #9: cost 0 inf + 3161 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 1386 * * [misc]simplify: Extracting #8: cost 1 inf + 3080 * * [misc]simplify: Extracting #9: cost 0 inf + 3604 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 210 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 251 * * [misc]simplify: Extracting #7: cost 2 inf + 1791 * * [misc]simplify: Extracting #8: cost 0 inf + 2597 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1346 * * [misc]simplify: Extracting #8: cost 1 inf + 3322 * * [misc]simplify: Extracting #9: cost 0 inf + 3926 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 211 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 251 * * [misc]simplify: Extracting #7: cost 2 inf + 1993 * * [misc]simplify: Extracting #8: cost 0 inf + 2799 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 452 * * [misc]simplify: Extracting #7: cost 6 inf + 1548 * * [misc]simplify: Extracting #8: cost 1 inf + 3684 * * [misc]simplify: Extracting #9: cost 0 inf + 4248 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 212 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 8 inf + 251 * * [misc]simplify: Extracting #7: cost 2 inf + 1469 * * [misc]simplify: Extracting #8: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 1346 * * [misc]simplify: Extracting #8: cost 1 inf + 2960 * * [misc]simplify: Extracting #9: cost 0 inf + 3444 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 213 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 251 * * [misc]simplify: Extracting #6: cost 1 inf + 903 * * [misc]simplify: Extracting #7: cost 0 inf + 1267 * [exit]simplify: Simplified to (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 206 * * [misc]simplify: Extracting #6: cost 6 inf + 614 * * [misc]simplify: Extracting #7: cost 3 inf + 1104 * * [misc]simplify: Extracting #8: cost 0 inf + 2316 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 214 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 8 inf + 251 * * [misc]simplify: Extracting #7: cost 2 inf + 1469 * * [misc]simplify: Extracting #8: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 1346 * * [misc]simplify: Extracting #8: cost 1 inf + 2960 * * [misc]simplify: Extracting #9: cost 0 inf + 3444 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 215 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 251 * * [misc]simplify: Extracting #6: cost 1 inf + 903 * * [misc]simplify: Extracting #7: cost 0 inf + 1267 * [exit]simplify: Simplified to (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 206 * * [misc]simplify: Extracting #6: cost 6 inf + 614 * * [misc]simplify: Extracting #7: cost 3 inf + 1104 * * [misc]simplify: Extracting #8: cost 0 inf + 2316 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 216 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 8 inf + 251 * * [misc]simplify: Extracting #7: cost 2 inf + 1469 * * [misc]simplify: Extracting #8: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 1346 * * [misc]simplify: Extracting #8: cost 1 inf + 2960 * * [misc]simplify: Extracting #9: cost 0 inf + 3444 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 217 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 251 * * [misc]simplify: Extracting #6: cost 1 inf + 903 * * [misc]simplify: Extracting #7: cost 0 inf + 1267 * [exit]simplify: Simplified to (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 206 * * [misc]simplify: Extracting #6: cost 6 inf + 614 * * [misc]simplify: Extracting #7: cost 3 inf + 1104 * * [misc]simplify: Extracting #8: cost 0 inf + 2316 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 218 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 24 inf + 0 * * [misc]simplify: Extracting #6: cost 18 inf + 87 * * [misc]simplify: Extracting #7: cost 14 inf + 416 * * [misc]simplify: Extracting #8: cost 10 inf + 1468 * * [misc]simplify: Extracting #9: cost 6 inf + 3000 * * [misc]simplify: Extracting #10: cost 0 inf + 5898 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 250 * * [misc]simplify: Extracting #7: cost 7 inf + 1104 * * [misc]simplify: Extracting #8: cost 1 inf + 3362 * * [misc]simplify: Extracting #9: cost 0 inf + 3966 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 219 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 250 * * [misc]simplify: Extracting #7: cost 7 inf + 1628 * * [misc]simplify: Extracting #8: cost 3 inf + 3000 * * [misc]simplify: Extracting #9: cost 0 inf + 4570 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 250 * * [misc]simplify: Extracting #7: cost 7 inf + 1346 * * [misc]simplify: Extracting #8: cost 3 inf + 2718 * * [misc]simplify: Extracting #9: cost 0 inf + 4288 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 220 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 250 * * [misc]simplify: Extracting #7: cost 8 inf + 1548 * * [misc]simplify: Extracting #8: cost 1 inf + 4168 * * [misc]simplify: Extracting #9: cost 0 inf + 4852 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 250 * * [misc]simplify: Extracting #7: cost 8 inf + 1306 * * [misc]simplify: Extracting #8: cost 1 inf + 3926 * * [misc]simplify: Extracting #9: cost 0 inf + 4610 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 221 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 902 * * [misc]simplify: Extracting #8: cost 0 inf + 2638 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 902 * * [misc]simplify: Extracting #8: cost 0 inf + 2638 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 222 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 8 inf + 251 * * [misc]simplify: Extracting #7: cost 2 inf + 1469 * * [misc]simplify: Extracting #8: cost 1 inf + 1711 * * [misc]simplify: Extracting #9: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1104 * * [misc]simplify: Extracting #8: cost 3 inf + 2194 * * [misc]simplify: Extracting #9: cost 0 inf + 3444 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 223 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 902 * * [misc]simplify: Extracting #8: cost 0 inf + 2638 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 902 * * [misc]simplify: Extracting #8: cost 0 inf + 2638 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 224 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 8 inf + 251 * * [misc]simplify: Extracting #7: cost 3 inf + 1105 * * [misc]simplify: Extracting #8: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1104 * * [misc]simplify: Extracting #8: cost 3 inf + 2194 * * [misc]simplify: Extracting #9: cost 0 inf + 3444 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 225 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 902 * * [misc]simplify: Extracting #8: cost 0 inf + 2638 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 902 * * [misc]simplify: Extracting #8: cost 0 inf + 2638 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 226 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 8 inf + 251 * * [misc]simplify: Extracting #7: cost 3 inf + 1105 * * [misc]simplify: Extracting #8: cost 1 inf + 1711 * * [misc]simplify: Extracting #9: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1104 * * [misc]simplify: Extracting #8: cost 3 inf + 2194 * * [misc]simplify: Extracting #9: cost 0 inf + 3444 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 227 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 251 * * [misc]simplify: Extracting #7: cost 5 inf + 1105 * * [misc]simplify: Extracting #8: cost 3 inf + 1751 * * [misc]simplify: Extracting #9: cost 0 inf + 3161 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 1386 * * [misc]simplify: Extracting #8: cost 1 inf + 3080 * * [misc]simplify: Extracting #9: cost 0 inf + 3604 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 228 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 251 * * [misc]simplify: Extracting #7: cost 4 inf + 1145 * * [misc]simplify: Extracting #8: cost 0 inf + 2597 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1346 * * [misc]simplify: Extracting #8: cost 1 inf + 3322 * * [misc]simplify: Extracting #9: cost 0 inf + 3926 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 229 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 453 * * [misc]simplify: Extracting #7: cost 2 inf + 1871 * * [misc]simplify: Extracting #8: cost 1 inf + 2235 * * [misc]simplify: Extracting #9: cost 0 inf + 2799 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 452 * * [misc]simplify: Extracting #7: cost 6 inf + 1548 * * [misc]simplify: Extracting #8: cost 1 inf + 3684 * * [misc]simplify: Extracting #9: cost 0 inf + 4248 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 230 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 8 inf + 251 * * [misc]simplify: Extracting #7: cost 3 inf + 1105 * * [misc]simplify: Extracting #8: cost 1 inf + 1711 * * [misc]simplify: Extracting #9: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 1346 * * [misc]simplify: Extracting #8: cost 1 inf + 2960 * * [misc]simplify: Extracting #9: cost 0 inf + 3444 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 231 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 251 * * [misc]simplify: Extracting #6: cost 1 inf + 903 * * [misc]simplify: Extracting #7: cost 0 inf + 1267 * [exit]simplify: Simplified to (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 206 * * [misc]simplify: Extracting #6: cost 6 inf + 614 * * [misc]simplify: Extracting #7: cost 3 inf + 1104 * * [misc]simplify: Extracting #8: cost 0 inf + 2316 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 232 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 8 inf + 251 * * [misc]simplify: Extracting #7: cost 3 inf + 1105 * * [misc]simplify: Extracting #8: cost 1 inf + 1711 * * [misc]simplify: Extracting #9: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 1346 * * [misc]simplify: Extracting #8: cost 1 inf + 2960 * * [misc]simplify: Extracting #9: cost 0 inf + 3444 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 233 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 251 * * [misc]simplify: Extracting #6: cost 1 inf + 903 * * [misc]simplify: Extracting #7: cost 0 inf + 1267 * [exit]simplify: Simplified to (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 206 * * [misc]simplify: Extracting #6: cost 6 inf + 614 * * [misc]simplify: Extracting #7: cost 3 inf + 1104 * * [misc]simplify: Extracting #8: cost 0 inf + 2316 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 234 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 8 inf + 251 * * [misc]simplify: Extracting #7: cost 3 inf + 1105 * * [misc]simplify: Extracting #8: cost 1 inf + 1711 * * [misc]simplify: Extracting #9: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 1346 * * [misc]simplify: Extracting #8: cost 1 inf + 2960 * * [misc]simplify: Extracting #9: cost 0 inf + 3444 * [exit]simplify: Simplified to (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 235 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) 1) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 251 * * [misc]simplify: Extracting #6: cost 1 inf + 903 * * [misc]simplify: Extracting #7: cost 0 inf + 1267 * [exit]simplify: Simplified to (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 206 * * [misc]simplify: Extracting #6: cost 6 inf + 614 * * [misc]simplify: Extracting #7: cost 3 inf + 1104 * * [misc]simplify: Extracting #8: cost 0 inf + 2316 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 236 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 68 inf + 0 * * [misc]simplify: Extracting #2: cost 116 inf + 0 * * [misc]simplify: Extracting #3: cost 118 inf + 2 * * [misc]simplify: Extracting #4: cost 124 inf + 2 * * [misc]simplify: Extracting #5: cost 115 inf + 662 * * [misc]simplify: Extracting #6: cost 113 inf + 744 * * [misc]simplify: Extracting #7: cost 102 inf + 4896 * * [misc]simplify: Extracting #8: cost 54 inf + 31512 * * [misc]simplify: Extracting #9: cost 7 inf + 61930 * * [misc]simplify: Extracting #10: cost 0 inf + 66958 * * [misc]simplify: Extracting #11: cost 0 inf + 66918 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 87 * * [misc]simplify: Extracting #7: cost 9 inf + 782 * * [misc]simplify: Extracting #8: cost 5 inf + 1992 * * [misc]simplify: Extracting #9: cost 1 inf + 3884 * * [misc]simplify: Extracting #10: cost 0 inf + 4568 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 237 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (465 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 100 inf + 0 * * [misc]simplify: Extracting #2: cost 114 inf + 0 * * [misc]simplify: Extracting #3: cost 117 inf + 0 * * [misc]simplify: Extracting #4: cost 123 inf + 0 * * [misc]simplify: Extracting #5: cost 114 inf + 660 * * [misc]simplify: Extracting #6: cost 112 inf + 742 * * [misc]simplify: Extracting #7: cost 97 inf + 7030 * * [misc]simplify: Extracting #8: cost 50 inf + 35718 * * [misc]simplify: Extracting #9: cost 3 inf + 68658 * * [misc]simplify: Extracting #10: cost 0 inf + 70750 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1508 * * [misc]simplify: Extracting #8: cost 4 inf + 5574 * * [misc]simplify: Extracting #9: cost 0 inf + 7586 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 238 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (468 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 101 inf + 0 * * [misc]simplify: Extracting #2: cost 116 inf + 0 * * [misc]simplify: Extracting #3: cost 121 inf + 0 * * [misc]simplify: Extracting #4: cost 127 inf + 0 * * [misc]simplify: Extracting #5: cost 117 inf + 701 * * [misc]simplify: Extracting #6: cost 103 inf + 5058 * * [misc]simplify: Extracting #7: cost 80 inf + 18654 * * [misc]simplify: Extracting #8: cost 14 inf + 67544 * * [misc]simplify: Extracting #9: cost 0 inf + 78560 * [exit]simplify: Simplified to (/ (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 498 * * [misc]simplify: Extracting #7: cost 14 inf + 1710 * * [misc]simplify: Extracting #8: cost 8 inf + 4006 * * [misc]simplify: Extracting #9: cost 0 inf + 8590 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 239 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * * [misc]simplify: iters left: 2 (468 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 100 inf + 0 * * [misc]simplify: Extracting #2: cost 113 inf + 0 * * [misc]simplify: Extracting #3: cost 116 inf + 0 * * [misc]simplify: Extracting #4: cost 122 inf + 0 * * [misc]simplify: Extracting #5: cost 113 inf + 457 * * [misc]simplify: Extracting #6: cost 97 inf + 6466 * * [misc]simplify: Extracting #7: cost 47 inf + 37408 * * [misc]simplify: Extracting #8: cost 3 inf + 66614 * * [misc]simplify: Extracting #9: cost 0 inf + 68866 * [exit]simplify: Simplified to (/ (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1508 * * [misc]simplify: Extracting #8: cost 4 inf + 5334 * * [misc]simplify: Extracting #9: cost 0 inf + 7426 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 240 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 140 inf + 0 * * [misc]simplify: Extracting #2: cost 281 inf + 1 * * [misc]simplify: Extracting #3: cost 318 inf + 1 * * [misc]simplify: Extracting #4: cost 324 inf + 1 * * [misc]simplify: Extracting #5: cost 313 inf + 657 * * [misc]simplify: Extracting #6: cost 259 inf + 23723 * * [misc]simplify: Extracting #7: cost 52 inf + 138992 * * [misc]simplify: Extracting #8: cost 1 inf + 170989 * * [misc]simplify: Extracting #9: cost 0 inf + 171673 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1508 * * [misc]simplify: Extracting #8: cost 2 inf + 6140 * * [misc]simplify: Extracting #9: cost 0 inf + 6904 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 241 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * * [misc]simplify: iters left: 2 (468 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 100 inf + 0 * * [misc]simplify: Extracting #2: cost 113 inf + 0 * * [misc]simplify: Extracting #3: cost 116 inf + 0 * * [misc]simplify: Extracting #4: cost 122 inf + 0 * * [misc]simplify: Extracting #5: cost 113 inf + 457 * * [misc]simplify: Extracting #6: cost 97 inf + 6466 * * [misc]simplify: Extracting #7: cost 47 inf + 37408 * * [misc]simplify: Extracting #8: cost 3 inf + 66614 * * [misc]simplify: Extracting #9: cost 0 inf + 68866 * [exit]simplify: Simplified to (/ (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1508 * * [misc]simplify: Extracting #8: cost 4 inf + 5334 * * [misc]simplify: Extracting #9: cost 0 inf + 7426 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 242 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 133 inf + 0 * * [misc]simplify: Extracting #2: cost 264 inf + 1 * * [misc]simplify: Extracting #3: cost 290 inf + 1 * * [misc]simplify: Extracting #4: cost 296 inf + 1 * * [misc]simplify: Extracting #5: cost 282 inf + 1354 * * [misc]simplify: Extracting #6: cost 264 inf + 6302 * * [misc]simplify: Extracting #7: cost 194 inf + 39709 * * [misc]simplify: Extracting #8: cost 50 inf + 122031 * * [misc]simplify: Extracting #9: cost 2 inf + 153779 * * [misc]simplify: Extracting #10: cost 0 inf + 155228 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1508 * * [misc]simplify: Extracting #8: cost 2 inf + 6140 * * [misc]simplify: Extracting #9: cost 0 inf + 6904 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 243 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * * [misc]simplify: iters left: 2 (468 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 100 inf + 0 * * [misc]simplify: Extracting #2: cost 113 inf + 0 * * [misc]simplify: Extracting #3: cost 116 inf + 0 * * [misc]simplify: Extracting #4: cost 122 inf + 0 * * [misc]simplify: Extracting #5: cost 113 inf + 457 * * [misc]simplify: Extracting #6: cost 97 inf + 6466 * * [misc]simplify: Extracting #7: cost 47 inf + 37408 * * [misc]simplify: Extracting #8: cost 3 inf + 66614 * * [misc]simplify: Extracting #9: cost 0 inf + 68866 * [exit]simplify: Simplified to (/ (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1508 * * [misc]simplify: Extracting #8: cost 4 inf + 5334 * * [misc]simplify: Extracting #9: cost 0 inf + 7426 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 244 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 106 inf + 0 * * [misc]simplify: Extracting #2: cost 224 inf + 1 * * [misc]simplify: Extracting #3: cost 258 inf + 1 * * [misc]simplify: Extracting #4: cost 267 inf + 1 * * [misc]simplify: Extracting #5: cost 243 inf + 5007 * * [misc]simplify: Extracting #6: cost 91 inf + 81673 * * [misc]simplify: Extracting #7: cost 1 inf + 137314 * * [misc]simplify: Extracting #8: cost 0 inf + 137838 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1508 * * [misc]simplify: Extracting #8: cost 2 inf + 6140 * * [misc]simplify: Extracting #9: cost 0 inf + 6904 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 245 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (458 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 94 inf + 0 * * [misc]simplify: Extracting #2: cost 120 inf + 0 * * [misc]simplify: Extracting #3: cost 123 inf + 0 * * [misc]simplify: Extracting #4: cost 129 inf + 0 * * [misc]simplify: Extracting #5: cost 119 inf + 701 * * [misc]simplify: Extracting #6: cost 118 inf + 742 * * [misc]simplify: Extracting #7: cost 106 inf + 5338 * * [misc]simplify: Extracting #8: cost 72 inf + 25418 * * [misc]simplify: Extracting #9: cost 11 inf + 67890 * * [misc]simplify: Extracting #10: cost 0 inf + 75814 * [exit]simplify: Simplified to (/ (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1710 * * [misc]simplify: Extracting #8: cost 5 inf + 4690 * * [misc]simplify: Extracting #9: cost 0 inf + 7586 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))))) * * * * [misc]progress: [ 246 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (287 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 36 inf + 0 * * [misc]simplify: Extracting #2: cost 40 inf + 0 * * [misc]simplify: Extracting #3: cost 42 inf + 2 * * [misc]simplify: Extracting #4: cost 46 inf + 2 * * [misc]simplify: Extracting #5: cost 40 inf + 89 * * [misc]simplify: Extracting #6: cost 32 inf + 1432 * * [misc]simplify: Extracting #7: cost 25 inf + 4416 * * [misc]simplify: Extracting #8: cost 7 inf + 13411 * * [misc]simplify: Extracting #9: cost 0 inf + 17559 * * [misc]simplify: Extracting #10: cost 0 inf + 17428 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (+ (* b d) (* a c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (+ (* b d) (* a c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 783 * * [misc]simplify: Extracting #8: cost 3 inf + 2355 * * [misc]simplify: Extracting #9: cost 0 inf + 3725 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (+ (* b d) (* a c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 247 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (409 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 57 inf + 0 * * [misc]simplify: Extracting #2: cost 60 inf + 0 * * [misc]simplify: Extracting #3: cost 65 inf + 0 * * [misc]simplify: Extracting #4: cost 71 inf + 0 * * [misc]simplify: Extracting #5: cost 65 inf + 87 * * [misc]simplify: Extracting #6: cost 52 inf + 3444 * * [misc]simplify: Extracting #7: cost 33 inf + 12748 * * [misc]simplify: Extracting #8: cost 3 inf + 33418 * * [misc]simplify: Extracting #9: cost 0 inf + 35830 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1710 * * [misc]simplify: Extracting #8: cost 8 inf + 3644 * * [misc]simplify: Extracting #9: cost 1 inf + 7304 * * [misc]simplify: Extracting #10: cost 0 inf + 8068 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 248 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (411 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 57 inf + 0 * * [misc]simplify: Extracting #2: cost 60 inf + 0 * * [misc]simplify: Extracting #3: cost 63 inf + 0 * * [misc]simplify: Extracting #4: cost 69 inf + 0 * * [misc]simplify: Extracting #5: cost 63 inf + 87 * * [misc]simplify: Extracting #6: cost 51 inf + 2840 * * [misc]simplify: Extracting #7: cost 37 inf + 9770 * * [misc]simplify: Extracting #8: cost 5 inf + 29086 * * [misc]simplify: Extracting #9: cost 0 inf + 32706 * [exit]simplify: Simplified to (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1710 * * [misc]simplify: Extracting #8: cost 5 inf + 4570 * * [misc]simplify: Extracting #9: cost 0 inf + 7266 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))))) * * * * [misc]progress: [ 249 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (341 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 84 inf + 0 * * [misc]simplify: Extracting #2: cost 208 inf + 1 * * [misc]simplify: Extracting #3: cost 219 inf + 1 * * [misc]simplify: Extracting #4: cost 225 inf + 1 * * [misc]simplify: Extracting #5: cost 215 inf + 417 * * [misc]simplify: Extracting #6: cost 194 inf + 5432 * * [misc]simplify: Extracting #7: cost 139 inf + 28102 * * [misc]simplify: Extracting #8: cost 31 inf + 85617 * * [misc]simplify: Extracting #9: cost 0 inf + 103066 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 9 inf + 2718 * * [misc]simplify: Extracting #8: cost 0 inf + 6744 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 250 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (411 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 57 inf + 0 * * [misc]simplify: Extracting #2: cost 60 inf + 0 * * [misc]simplify: Extracting #3: cost 63 inf + 0 * * [misc]simplify: Extracting #4: cost 69 inf + 0 * * [misc]simplify: Extracting #5: cost 63 inf + 87 * * [misc]simplify: Extracting #6: cost 51 inf + 2840 * * [misc]simplify: Extracting #7: cost 37 inf + 9770 * * [misc]simplify: Extracting #8: cost 5 inf + 29086 * * [misc]simplify: Extracting #9: cost 0 inf + 32706 * [exit]simplify: Simplified to (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1710 * * [misc]simplify: Extracting #8: cost 5 inf + 4570 * * [misc]simplify: Extracting #9: cost 0 inf + 7266 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))))) * * * * [misc]progress: [ 251 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 106 inf + 0 * * [misc]simplify: Extracting #2: cost 221 inf + 1 * * [misc]simplify: Extracting #3: cost 233 inf + 1 * * [misc]simplify: Extracting #4: cost 239 inf + 1 * * [misc]simplify: Extracting #5: cost 227 inf + 1220 * * [misc]simplify: Extracting #6: cost 222 inf + 2312 * * [misc]simplify: Extracting #7: cost 114 inf + 53880 * * [misc]simplify: Extracting #8: cost 9 inf + 107967 * * [misc]simplify: Extracting #9: cost 0 inf + 113126 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 9 inf + 2718 * * [misc]simplify: Extracting #8: cost 0 inf + 6744 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 252 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (411 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 57 inf + 0 * * [misc]simplify: Extracting #2: cost 60 inf + 0 * * [misc]simplify: Extracting #3: cost 63 inf + 0 * * [misc]simplify: Extracting #4: cost 69 inf + 0 * * [misc]simplify: Extracting #5: cost 63 inf + 87 * * [misc]simplify: Extracting #6: cost 51 inf + 2840 * * [misc]simplify: Extracting #7: cost 37 inf + 9770 * * [misc]simplify: Extracting #8: cost 5 inf + 29086 * * [misc]simplify: Extracting #9: cost 0 inf + 32706 * [exit]simplify: Simplified to (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1710 * * [misc]simplify: Extracting #8: cost 5 inf + 4570 * * [misc]simplify: Extracting #9: cost 0 inf + 7266 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))))) * * * * [misc]progress: [ 253 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (343 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 90 inf + 0 * * [misc]simplify: Extracting #2: cost 201 inf + 1 * * [misc]simplify: Extracting #3: cost 206 inf + 1 * * [misc]simplify: Extracting #4: cost 212 inf + 1 * * [misc]simplify: Extracting #5: cost 202 inf + 417 * * [misc]simplify: Extracting #6: cost 158 inf + 14527 * * [misc]simplify: Extracting #7: cost 48 inf + 70968 * * [misc]simplify: Extracting #8: cost 6 inf + 94221 * * [misc]simplify: Extracting #9: cost 0 inf + 97847 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 9 inf + 2718 * * [misc]simplify: Extracting #8: cost 0 inf + 6744 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 254 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (458 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 95 inf + 0 * * [misc]simplify: Extracting #2: cost 121 inf + 0 * * [misc]simplify: Extracting #3: cost 126 inf + 0 * * [misc]simplify: Extracting #4: cost 132 inf + 0 * * [misc]simplify: Extracting #5: cost 122 inf + 701 * * [misc]simplify: Extracting #6: cost 109 inf + 4574 * * [misc]simplify: Extracting #7: cost 67 inf + 30560 * * [misc]simplify: Extracting #8: cost 5 inf + 78760 * * [misc]simplify: Extracting #9: cost 0 inf + 82980 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 2234 * * [misc]simplify: Extracting #8: cost 8 inf + 4086 * * [misc]simplify: Extracting #9: cost 0 inf + 8590 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 255 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (409 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 57 inf + 0 * * [misc]simplify: Extracting #2: cost 60 inf + 0 * * [misc]simplify: Extracting #3: cost 65 inf + 0 * * [misc]simplify: Extracting #4: cost 71 inf + 0 * * [misc]simplify: Extracting #5: cost 65 inf + 87 * * [misc]simplify: Extracting #6: cost 52 inf + 3244 * * [misc]simplify: Extracting #7: cost 40 inf + 9046 * * [misc]simplify: Extracting #8: cost 5 inf + 31770 * * [misc]simplify: Extracting #9: cost 0 inf + 35710 * [exit]simplify: Simplified to (* (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 10 inf + 2676 * * [misc]simplify: Extracting #8: cost 1 inf + 7304 * * [misc]simplify: Extracting #9: cost 0 inf + 8068 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 256 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (303 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 34 inf + 0 * * [misc]simplify: Extracting #2: cost 38 inf + 0 * * [misc]simplify: Extracting #3: cost 41 inf + 0 * * [misc]simplify: Extracting #4: cost 47 inf + 0 * * [misc]simplify: Extracting #5: cost 41 inf + 87 * * [misc]simplify: Extracting #6: cost 29 inf + 2760 * * [misc]simplify: Extracting #7: cost 14 inf + 10332 * * [misc]simplify: Extracting #8: cost 0 inf + 18742 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 984 * * [misc]simplify: Extracting #8: cost 4 inf + 2234 * * [misc]simplify: Extracting #9: cost 0 inf + 4528 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 257 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 57 inf + 0 * * [misc]simplify: Extracting #2: cost 61 inf + 0 * * [misc]simplify: Extracting #3: cost 66 inf + 0 * * [misc]simplify: Extracting #4: cost 72 inf + 0 * * [misc]simplify: Extracting #5: cost 66 inf + 87 * * [misc]simplify: Extracting #6: cost 54 inf + 2760 * * [misc]simplify: Extracting #7: cost 41 inf + 8682 * * [misc]simplify: Extracting #8: cost 4 inf + 33456 * * [misc]simplify: Extracting #9: cost 0 inf + 36672 * [exit]simplify: Simplified to (* (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 2234 * * [misc]simplify: Extracting #8: cost 8 inf + 4086 * * [misc]simplify: Extracting #9: cost 0 inf + 8270 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 258 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (432 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 81 inf + 0 * * [misc]simplify: Extracting #2: cost 269 inf + 1 * * [misc]simplify: Extracting #3: cost 276 inf + 1 * * [misc]simplify: Extracting #4: cost 282 inf + 1 * * [misc]simplify: Extracting #5: cost 270 inf + 781 * * [misc]simplify: Extracting #6: cost 185 inf + 33251 * * [misc]simplify: Extracting #7: cost 51 inf + 101279 * * [misc]simplify: Extracting #8: cost 2 inf + 132595 * * [misc]simplify: Extracting #9: cost 0 inf + 134084 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 10 inf + 2676 * * [misc]simplify: Extracting #8: cost 1 inf + 6984 * * [misc]simplify: Extracting #9: cost 0 inf + 7748 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 259 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 57 inf + 0 * * [misc]simplify: Extracting #2: cost 61 inf + 0 * * [misc]simplify: Extracting #3: cost 66 inf + 0 * * [misc]simplify: Extracting #4: cost 72 inf + 0 * * [misc]simplify: Extracting #5: cost 66 inf + 87 * * [misc]simplify: Extracting #6: cost 54 inf + 2760 * * [misc]simplify: Extracting #7: cost 41 inf + 8682 * * [misc]simplify: Extracting #8: cost 4 inf + 33456 * * [misc]simplify: Extracting #9: cost 0 inf + 36672 * [exit]simplify: Simplified to (* (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 2234 * * [misc]simplify: Extracting #8: cost 8 inf + 4086 * * [misc]simplify: Extracting #9: cost 0 inf + 8270 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 260 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 97 inf + 0 * * [misc]simplify: Extracting #2: cost 167 inf + 1 * * [misc]simplify: Extracting #3: cost 184 inf + 1 * * [misc]simplify: Extracting #4: cost 190 inf + 1 * * [misc]simplify: Extracting #5: cost 177 inf + 1023 * * [misc]simplify: Extracting #6: cost 101 inf + 34908 * * [misc]simplify: Extracting #7: cost 8 inf + 89633 * * [misc]simplify: Extracting #8: cost 0 inf + 95505 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 10 inf + 2676 * * [misc]simplify: Extracting #8: cost 1 inf + 6984 * * [misc]simplify: Extracting #9: cost 0 inf + 7748 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 261 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 57 inf + 0 * * [misc]simplify: Extracting #2: cost 61 inf + 0 * * [misc]simplify: Extracting #3: cost 66 inf + 0 * * [misc]simplify: Extracting #4: cost 72 inf + 0 * * [misc]simplify: Extracting #5: cost 66 inf + 87 * * [misc]simplify: Extracting #6: cost 54 inf + 2760 * * [misc]simplify: Extracting #7: cost 41 inf + 8682 * * [misc]simplify: Extracting #8: cost 4 inf + 33456 * * [misc]simplify: Extracting #9: cost 0 inf + 36672 * [exit]simplify: Simplified to (* (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 2234 * * [misc]simplify: Extracting #8: cost 8 inf + 4086 * * [misc]simplify: Extracting #9: cost 0 inf + 8270 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 262 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (470 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 161 inf + 0 * * [misc]simplify: Extracting #2: cost 342 inf + 1 * * [misc]simplify: Extracting #3: cost 377 inf + 1 * * [misc]simplify: Extracting #4: cost 383 inf + 1 * * [misc]simplify: Extracting #5: cost 374 inf + 295 * * [misc]simplify: Extracting #6: cost 265 inf + 43219 * * [misc]simplify: Extracting #7: cost 73 inf + 151599 * * [misc]simplify: Extracting #8: cost 2 inf + 193854 * * [misc]simplify: Extracting #9: cost 0 inf + 195303 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 10 inf + 2676 * * [misc]simplify: Extracting #8: cost 1 inf + 6984 * * [misc]simplify: Extracting #9: cost 0 inf + 7748 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 263 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (455 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 94 inf + 0 * * [misc]simplify: Extracting #2: cost 120 inf + 0 * * [misc]simplify: Extracting #3: cost 123 inf + 0 * * [misc]simplify: Extracting #4: cost 129 inf + 0 * * [misc]simplify: Extracting #5: cost 120 inf + 660 * * [misc]simplify: Extracting #6: cost 118 inf + 742 * * [misc]simplify: Extracting #7: cost 97 inf + 10728 * * [misc]simplify: Extracting #8: cost 41 inf + 46338 * * [misc]simplify: Extracting #9: cost 3 inf + 72242 * * [misc]simplify: Extracting #10: cost 0 inf + 74534 * [exit]simplify: Simplified to (/ (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1508 * * [misc]simplify: Extracting #8: cost 4 inf + 5294 * * [misc]simplify: Extracting #9: cost 0 inf + 7426 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 264 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * * [misc]simplify: iters left: 1 (409 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 57 inf + 0 * * [misc]simplify: Extracting #2: cost 60 inf + 0 * * [misc]simplify: Extracting #3: cost 63 inf + 0 * * [misc]simplify: Extracting #4: cost 69 inf + 0 * * [misc]simplify: Extracting #5: cost 63 inf + 87 * * [misc]simplify: Extracting #6: cost 51 inf + 2760 * * [misc]simplify: Extracting #7: cost 29 inf + 13916 * * [misc]simplify: Extracting #8: cost 3 inf + 30494 * * [misc]simplify: Extracting #9: cost 0 inf + 32666 * [exit]simplify: Simplified to (/ (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1508 * * [misc]simplify: Extracting #8: cost 4 inf + 5334 * * [misc]simplify: Extracting #9: cost 0 inf + 7266 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 265 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 57 inf + 0 * * [misc]simplify: Extracting #2: cost 61 inf + 0 * * [misc]simplify: Extracting #3: cost 66 inf + 0 * * [misc]simplify: Extracting #4: cost 72 inf + 0 * * [misc]simplify: Extracting #5: cost 66 inf + 87 * * [misc]simplify: Extracting #6: cost 55 inf + 2558 * * [misc]simplify: Extracting #7: cost 38 inf + 10212 * * [misc]simplify: Extracting #8: cost 5 inf + 32532 * * [misc]simplify: Extracting #9: cost 0 inf + 36752 * [exit]simplify: Simplified to (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 498 * * [misc]simplify: Extracting #7: cost 14 inf + 1710 * * [misc]simplify: Extracting #8: cost 8 inf + 3846 * * [misc]simplify: Extracting #9: cost 0 inf + 8270 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 266 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (287 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 41 inf + 0 * * [misc]simplify: Extracting #2: cost 43 inf + 0 * * [misc]simplify: Extracting #3: cost 46 inf + 0 * * [misc]simplify: Extracting #4: cost 52 inf + 0 * * [misc]simplify: Extracting #5: cost 46 inf + 87 * * [misc]simplify: Extracting #6: cost 36 inf + 2074 * * [misc]simplify: Extracting #7: cost 16 inf + 12026 * * [misc]simplify: Extracting #8: cost 2 inf + 19798 * * [misc]simplify: Extracting #9: cost 0 inf + 21166 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 782 * * [misc]simplify: Extracting #8: cost 4 inf + 1952 * * [misc]simplify: Extracting #9: cost 0 inf + 3966 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 267 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (407 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 96 inf + 0 * * [misc]simplify: Extracting #2: cost 211 inf + 1 * * [misc]simplify: Extracting #3: cost 218 inf + 1 * * [misc]simplify: Extracting #4: cost 224 inf + 1 * * [misc]simplify: Extracting #5: cost 213 inf + 621 * * [misc]simplify: Extracting #6: cost 177 inf + 9301 * * [misc]simplify: Extracting #7: cost 83 inf + 56752 * * [misc]simplify: Extracting #8: cost 6 inf + 99615 * * [misc]simplify: Extracting #9: cost 0 inf + 103520 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1508 * * [misc]simplify: Extracting #8: cost 2 inf + 5900 * * [misc]simplify: Extracting #9: cost 0 inf + 6584 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 268 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (287 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 41 inf + 0 * * [misc]simplify: Extracting #2: cost 43 inf + 0 * * [misc]simplify: Extracting #3: cost 46 inf + 0 * * [misc]simplify: Extracting #4: cost 52 inf + 0 * * [misc]simplify: Extracting #5: cost 46 inf + 87 * * [misc]simplify: Extracting #6: cost 36 inf + 2074 * * [misc]simplify: Extracting #7: cost 16 inf + 12026 * * [misc]simplify: Extracting #8: cost 2 inf + 19798 * * [misc]simplify: Extracting #9: cost 0 inf + 21166 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 782 * * [misc]simplify: Extracting #8: cost 4 inf + 1952 * * [misc]simplify: Extracting #9: cost 0 inf + 3966 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 269 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (441 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 106 inf + 0 * * [misc]simplify: Extracting #2: cost 224 inf + 1 * * [misc]simplify: Extracting #3: cost 243 inf + 1 * * [misc]simplify: Extracting #4: cost 249 inf + 1 * * [misc]simplify: Extracting #5: cost 210 inf + 9053 * * [misc]simplify: Extracting #6: cost 50 inf + 93174 * * [misc]simplify: Extracting #7: cost 1 inf + 121287 * * [misc]simplify: Extracting #8: cost 0 inf + 121931 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1508 * * [misc]simplify: Extracting #8: cost 2 inf + 5900 * * [misc]simplify: Extracting #9: cost 0 inf + 6584 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 270 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (287 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 41 inf + 0 * * [misc]simplify: Extracting #2: cost 43 inf + 0 * * [misc]simplify: Extracting #3: cost 46 inf + 0 * * [misc]simplify: Extracting #4: cost 52 inf + 0 * * [misc]simplify: Extracting #5: cost 46 inf + 87 * * [misc]simplify: Extracting #6: cost 36 inf + 2074 * * [misc]simplify: Extracting #7: cost 16 inf + 12026 * * [misc]simplify: Extracting #8: cost 2 inf + 19798 * * [misc]simplify: Extracting #9: cost 0 inf + 21166 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 782 * * [misc]simplify: Extracting #8: cost 4 inf + 1952 * * [misc]simplify: Extracting #9: cost 0 inf + 3966 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 271 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 110 inf + 0 * * [misc]simplify: Extracting #2: cost 241 inf + 1 * * [misc]simplify: Extracting #3: cost 257 inf + 1 * * [misc]simplify: Extracting #4: cost 263 inf + 1 * * [misc]simplify: Extracting #5: cost 254 inf + 295 * * [misc]simplify: Extracting #6: cost 219 inf + 8567 * * [misc]simplify: Extracting #7: cost 117 inf + 59729 * * [misc]simplify: Extracting #8: cost 15 inf + 116102 * * [misc]simplify: Extracting #9: cost 0 inf + 124889 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1508 * * [misc]simplify: Extracting #8: cost 2 inf + 5900 * * [misc]simplify: Extracting #9: cost 0 inf + 6584 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 272 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 58 inf + 0 * * [misc]simplify: Extracting #2: cost 150 inf + 1 * * [misc]simplify: Extracting #3: cost 185 inf + 1 * * [misc]simplify: Extracting #4: cost 194 inf + 1 * * [misc]simplify: Extracting #5: cost 174 inf + 2935 * * [misc]simplify: Extracting #6: cost 90 inf + 38615 * * [misc]simplify: Extracting #7: cost 23 inf + 78558 * * [misc]simplify: Extracting #8: cost 0 inf + 93812 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1508 * * [misc]simplify: Extracting #8: cost 4 inf + 4932 * * [misc]simplify: Extracting #9: cost 0 inf + 6904 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 273 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (290 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 96 inf + 0 * * [misc]simplify: Extracting #2: cost 187 inf + 1 * * [misc]simplify: Extracting #3: cost 211 inf + 1 * * [misc]simplify: Extracting #4: cost 217 inf + 1 * * [misc]simplify: Extracting #5: cost 204 inf + 1103 * * [misc]simplify: Extracting #6: cost 72 inf + 60095 * * [misc]simplify: Extracting #7: cost 1 inf + 99318 * * [misc]simplify: Extracting #8: cost 0 inf + 99923 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 9 inf + 2878 * * [misc]simplify: Extracting #8: cost 0 inf + 6744 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 274 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 53 inf + 0 * * [misc]simplify: Extracting #2: cost 141 inf + 1 * * [misc]simplify: Extracting #3: cost 146 inf + 1 * * [misc]simplify: Extracting #4: cost 152 inf + 1 * * [misc]simplify: Extracting #5: cost 146 inf + 88 * * [misc]simplify: Extracting #6: cost 143 inf + 295 * * [misc]simplify: Extracting #7: cost 104 inf + 14331 * * [misc]simplify: Extracting #8: cost 36 inf + 44779 * * [misc]simplify: Extracting #9: cost 6 inf + 63903 * * [misc]simplify: Extracting #10: cost 0 inf + 67928 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1710 * * [misc]simplify: Extracting #8: cost 8 inf + 3484 * * [misc]simplify: Extracting #9: cost 1 inf + 6984 * * [misc]simplify: Extracting #10: cost 0 inf + 7748 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 275 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (385 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 66 inf + 0 * * [misc]simplify: Extracting #2: cost 170 inf + 1 * * [misc]simplify: Extracting #3: cost 175 inf + 1 * * [misc]simplify: Extracting #4: cost 181 inf + 1 * * [misc]simplify: Extracting #5: cost 174 inf + 213 * * [misc]simplify: Extracting #6: cost 134 inf + 13175 * * [misc]simplify: Extracting #7: cost 52 inf + 50284 * * [misc]simplify: Extracting #8: cost 4 inf + 77241 * * [misc]simplify: Extracting #9: cost 0 inf + 79778 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1508 * * [misc]simplify: Extracting #8: cost 4 inf + 4772 * * [misc]simplify: Extracting #9: cost 0 inf + 6584 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 276 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * * [misc]simplify: iters left: 1 (298 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 129 * * [misc]simplify: Extracting #6: cost 13 inf + 293 * * [misc]simplify: Extracting #7: cost 9 inf + 1025 * * [misc]simplify: Extracting #8: cost 3 inf + 3288 * * [misc]simplify: Extracting #9: cost 0 inf + 4860 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 43 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 3 inf + 2274 * * [misc]simplify: Extracting #8: cost 0 inf + 3564 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 277 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (385 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 66 inf + 0 * * [misc]simplify: Extracting #2: cost 170 inf + 1 * * [misc]simplify: Extracting #3: cost 175 inf + 1 * * [misc]simplify: Extracting #4: cost 181 inf + 1 * * [misc]simplify: Extracting #5: cost 174 inf + 213 * * [misc]simplify: Extracting #6: cost 134 inf + 13175 * * [misc]simplify: Extracting #7: cost 52 inf + 50284 * * [misc]simplify: Extracting #8: cost 4 inf + 77241 * * [misc]simplify: Extracting #9: cost 0 inf + 79778 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1508 * * [misc]simplify: Extracting #8: cost 4 inf + 4772 * * [misc]simplify: Extracting #9: cost 0 inf + 6584 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 278 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt 1)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * * [misc]simplify: iters left: 1 (298 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 129 * * [misc]simplify: Extracting #6: cost 13 inf + 293 * * [misc]simplify: Extracting #7: cost 9 inf + 1025 * * [misc]simplify: Extracting #8: cost 3 inf + 3288 * * [misc]simplify: Extracting #9: cost 0 inf + 4860 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 43 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 3 inf + 2274 * * [misc]simplify: Extracting #8: cost 0 inf + 3564 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 279 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (385 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 66 inf + 0 * * [misc]simplify: Extracting #2: cost 170 inf + 1 * * [misc]simplify: Extracting #3: cost 175 inf + 1 * * [misc]simplify: Extracting #4: cost 181 inf + 1 * * [misc]simplify: Extracting #5: cost 174 inf + 213 * * [misc]simplify: Extracting #6: cost 134 inf + 13175 * * [misc]simplify: Extracting #7: cost 52 inf + 50284 * * [misc]simplify: Extracting #8: cost 4 inf + 77241 * * [misc]simplify: Extracting #9: cost 0 inf + 79778 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1508 * * [misc]simplify: Extracting #8: cost 4 inf + 4772 * * [misc]simplify: Extracting #9: cost 0 inf + 6584 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 280 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 5 * * [misc]simplify: Extracting #6: cost 9 inf + 1110 * * [misc]simplify: Extracting #7: cost 6 inf + 2038 * * [misc]simplify: Extracting #8: cost 1 inf + 4376 * * [misc]simplify: Extracting #9: cost 0 inf + 4860 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 43 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 3 inf + 2274 * * [misc]simplify: Extracting #8: cost 0 inf + 3564 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 281 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (455 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 94 inf + 0 * * [misc]simplify: Extracting #2: cost 120 inf + 0 * * [misc]simplify: Extracting #3: cost 123 inf + 0 * * [misc]simplify: Extracting #4: cost 129 inf + 0 * * [misc]simplify: Extracting #5: cost 120 inf + 660 * * [misc]simplify: Extracting #6: cost 118 inf + 742 * * [misc]simplify: Extracting #7: cost 97 inf + 10728 * * [misc]simplify: Extracting #8: cost 41 inf + 46338 * * [misc]simplify: Extracting #9: cost 3 inf + 72242 * * [misc]simplify: Extracting #10: cost 0 inf + 74534 * [exit]simplify: Simplified to (/ (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1508 * * [misc]simplify: Extracting #8: cost 4 inf + 5294 * * [misc]simplify: Extracting #9: cost 0 inf + 7426 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 282 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * * [misc]simplify: iters left: 1 (409 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 57 inf + 0 * * [misc]simplify: Extracting #2: cost 60 inf + 0 * * [misc]simplify: Extracting #3: cost 63 inf + 0 * * [misc]simplify: Extracting #4: cost 69 inf + 0 * * [misc]simplify: Extracting #5: cost 63 inf + 87 * * [misc]simplify: Extracting #6: cost 51 inf + 2760 * * [misc]simplify: Extracting #7: cost 29 inf + 13916 * * [misc]simplify: Extracting #8: cost 3 inf + 30494 * * [misc]simplify: Extracting #9: cost 0 inf + 32666 * [exit]simplify: Simplified to (/ (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1508 * * [misc]simplify: Extracting #8: cost 4 inf + 5334 * * [misc]simplify: Extracting #9: cost 0 inf + 7266 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 283 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 57 inf + 0 * * [misc]simplify: Extracting #2: cost 61 inf + 0 * * [misc]simplify: Extracting #3: cost 66 inf + 0 * * [misc]simplify: Extracting #4: cost 72 inf + 0 * * [misc]simplify: Extracting #5: cost 66 inf + 87 * * [misc]simplify: Extracting #6: cost 55 inf + 2558 * * [misc]simplify: Extracting #7: cost 38 inf + 10212 * * [misc]simplify: Extracting #8: cost 5 inf + 32532 * * [misc]simplify: Extracting #9: cost 0 inf + 36752 * [exit]simplify: Simplified to (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 498 * * [misc]simplify: Extracting #7: cost 14 inf + 1710 * * [misc]simplify: Extracting #8: cost 8 inf + 3846 * * [misc]simplify: Extracting #9: cost 0 inf + 8270 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 284 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (287 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 41 inf + 0 * * [misc]simplify: Extracting #2: cost 43 inf + 0 * * [misc]simplify: Extracting #3: cost 46 inf + 0 * * [misc]simplify: Extracting #4: cost 52 inf + 0 * * [misc]simplify: Extracting #5: cost 46 inf + 87 * * [misc]simplify: Extracting #6: cost 36 inf + 2074 * * [misc]simplify: Extracting #7: cost 16 inf + 12026 * * [misc]simplify: Extracting #8: cost 2 inf + 19798 * * [misc]simplify: Extracting #9: cost 0 inf + 21166 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 782 * * [misc]simplify: Extracting #8: cost 4 inf + 1952 * * [misc]simplify: Extracting #9: cost 0 inf + 3966 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 285 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (407 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 96 inf + 0 * * [misc]simplify: Extracting #2: cost 211 inf + 1 * * [misc]simplify: Extracting #3: cost 218 inf + 1 * * [misc]simplify: Extracting #4: cost 224 inf + 1 * * [misc]simplify: Extracting #5: cost 213 inf + 621 * * [misc]simplify: Extracting #6: cost 177 inf + 9301 * * [misc]simplify: Extracting #7: cost 83 inf + 56752 * * [misc]simplify: Extracting #8: cost 6 inf + 99615 * * [misc]simplify: Extracting #9: cost 0 inf + 103520 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1508 * * [misc]simplify: Extracting #8: cost 2 inf + 5900 * * [misc]simplify: Extracting #9: cost 0 inf + 6584 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 286 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (287 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 41 inf + 0 * * [misc]simplify: Extracting #2: cost 43 inf + 0 * * [misc]simplify: Extracting #3: cost 46 inf + 0 * * [misc]simplify: Extracting #4: cost 52 inf + 0 * * [misc]simplify: Extracting #5: cost 46 inf + 87 * * [misc]simplify: Extracting #6: cost 36 inf + 2074 * * [misc]simplify: Extracting #7: cost 16 inf + 12026 * * [misc]simplify: Extracting #8: cost 2 inf + 19798 * * [misc]simplify: Extracting #9: cost 0 inf + 21166 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 782 * * [misc]simplify: Extracting #8: cost 4 inf + 1952 * * [misc]simplify: Extracting #9: cost 0 inf + 3966 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 287 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (441 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 106 inf + 0 * * [misc]simplify: Extracting #2: cost 224 inf + 1 * * [misc]simplify: Extracting #3: cost 243 inf + 1 * * [misc]simplify: Extracting #4: cost 249 inf + 1 * * [misc]simplify: Extracting #5: cost 210 inf + 9053 * * [misc]simplify: Extracting #6: cost 50 inf + 93174 * * [misc]simplify: Extracting #7: cost 1 inf + 121287 * * [misc]simplify: Extracting #8: cost 0 inf + 121931 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1508 * * [misc]simplify: Extracting #8: cost 2 inf + 5900 * * [misc]simplify: Extracting #9: cost 0 inf + 6584 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 288 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (287 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 41 inf + 0 * * [misc]simplify: Extracting #2: cost 43 inf + 0 * * [misc]simplify: Extracting #3: cost 46 inf + 0 * * [misc]simplify: Extracting #4: cost 52 inf + 0 * * [misc]simplify: Extracting #5: cost 46 inf + 87 * * [misc]simplify: Extracting #6: cost 36 inf + 2074 * * [misc]simplify: Extracting #7: cost 16 inf + 12026 * * [misc]simplify: Extracting #8: cost 2 inf + 19798 * * [misc]simplify: Extracting #9: cost 0 inf + 21166 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 782 * * [misc]simplify: Extracting #8: cost 4 inf + 1952 * * [misc]simplify: Extracting #9: cost 0 inf + 3966 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 289 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 110 inf + 0 * * [misc]simplify: Extracting #2: cost 241 inf + 1 * * [misc]simplify: Extracting #3: cost 257 inf + 1 * * [misc]simplify: Extracting #4: cost 263 inf + 1 * * [misc]simplify: Extracting #5: cost 254 inf + 295 * * [misc]simplify: Extracting #6: cost 219 inf + 8567 * * [misc]simplify: Extracting #7: cost 117 inf + 59729 * * [misc]simplify: Extracting #8: cost 15 inf + 116102 * * [misc]simplify: Extracting #9: cost 0 inf + 124889 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1508 * * [misc]simplify: Extracting #8: cost 2 inf + 5900 * * [misc]simplify: Extracting #9: cost 0 inf + 6584 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 290 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 67 inf + 0 * * [misc]simplify: Extracting #2: cost 159 inf + 1 * * [misc]simplify: Extracting #3: cost 210 inf + 1 * * [misc]simplify: Extracting #4: cost 221 inf + 1 * * [misc]simplify: Extracting #5: cost 211 inf + 417 * * [misc]simplify: Extracting #6: cost 171 inf + 11749 * * [misc]simplify: Extracting #7: cost 109 inf + 42203 * * [misc]simplify: Extracting #8: cost 26 inf + 90573 * * [misc]simplify: Extracting #9: cost 1 inf + 107355 * * [misc]simplify: Extracting #10: cost 0 inf + 108119 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1508 * * [misc]simplify: Extracting #8: cost 4 inf + 4932 * * [misc]simplify: Extracting #9: cost 0 inf + 6904 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 291 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 98 inf + 0 * * [misc]simplify: Extracting #2: cost 196 inf + 1 * * [misc]simplify: Extracting #3: cost 220 inf + 1 * * [misc]simplify: Extracting #4: cost 226 inf + 1 * * [misc]simplify: Extracting #5: cost 213 inf + 1103 * * [misc]simplify: Extracting #6: cost 78 inf + 60985 * * [misc]simplify: Extracting #7: cost 0 inf + 103085 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 9 inf + 2878 * * [misc]simplify: Extracting #8: cost 0 inf + 6744 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 292 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (428 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 52 inf + 0 * * [misc]simplify: Extracting #2: cost 152 inf + 1 * * [misc]simplify: Extracting #3: cost 157 inf + 1 * * [misc]simplify: Extracting #4: cost 163 inf + 1 * * [misc]simplify: Extracting #5: cost 157 inf + 89 * * [misc]simplify: Extracting #6: cost 149 inf + 1265 * * [misc]simplify: Extracting #7: cost 92 inf + 26382 * * [misc]simplify: Extracting #8: cost 13 inf + 64554 * * [misc]simplify: Extracting #9: cost 3 inf + 70757 * * [misc]simplify: Extracting #10: cost 0 inf + 72609 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1710 * * [misc]simplify: Extracting #8: cost 8 inf + 3484 * * [misc]simplify: Extracting #9: cost 1 inf + 6984 * * [misc]simplify: Extracting #10: cost 0 inf + 7748 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 293 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 59 inf + 0 * * [misc]simplify: Extracting #2: cost 181 inf + 1 * * [misc]simplify: Extracting #3: cost 186 inf + 1 * * [misc]simplify: Extracting #4: cost 192 inf + 1 * * [misc]simplify: Extracting #5: cost 162 inf + 5270 * * [misc]simplify: Extracting #6: cost 117 inf + 19425 * * [misc]simplify: Extracting #7: cost 35 inf + 61197 * * [misc]simplify: Extracting #8: cost 1 inf + 80937 * * [misc]simplify: Extracting #9: cost 0 inf + 81622 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1508 * * [misc]simplify: Extracting #8: cost 4 inf + 4772 * * [misc]simplify: Extracting #9: cost 0 inf + 6584 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 294 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (315 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 129 * * [misc]simplify: Extracting #6: cost 13 inf + 293 * * [misc]simplify: Extracting #7: cost 8 inf + 1270 * * [misc]simplify: Extracting #8: cost 3 inf + 3288 * * [misc]simplify: Extracting #9: cost 0 inf + 4860 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 43 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 3 inf + 2274 * * [misc]simplify: Extracting #8: cost 0 inf + 3564 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 295 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 59 inf + 0 * * [misc]simplify: Extracting #2: cost 181 inf + 1 * * [misc]simplify: Extracting #3: cost 186 inf + 1 * * [misc]simplify: Extracting #4: cost 192 inf + 1 * * [misc]simplify: Extracting #5: cost 162 inf + 5270 * * [misc]simplify: Extracting #6: cost 117 inf + 19425 * * [misc]simplify: Extracting #7: cost 35 inf + 61197 * * [misc]simplify: Extracting #8: cost 1 inf + 80937 * * [misc]simplify: Extracting #9: cost 0 inf + 81622 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1508 * * [misc]simplify: Extracting #8: cost 4 inf + 4772 * * [misc]simplify: Extracting #9: cost 0 inf + 6584 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 296 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (380 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 24 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 88 * * [misc]simplify: Extracting #6: cost 12 inf + 821 * * [misc]simplify: Extracting #7: cost 4 inf + 3813 * * [misc]simplify: Extracting #8: cost 0 inf + 5909 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 43 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 3 inf + 2274 * * [misc]simplify: Extracting #8: cost 0 inf + 3564 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 297 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 59 inf + 0 * * [misc]simplify: Extracting #2: cost 181 inf + 1 * * [misc]simplify: Extracting #3: cost 186 inf + 1 * * [misc]simplify: Extracting #4: cost 192 inf + 1 * * [misc]simplify: Extracting #5: cost 162 inf + 5270 * * [misc]simplify: Extracting #6: cost 117 inf + 19425 * * [misc]simplify: Extracting #7: cost 35 inf + 61197 * * [misc]simplify: Extracting #8: cost 1 inf + 80937 * * [misc]simplify: Extracting #9: cost 0 inf + 81622 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1508 * * [misc]simplify: Extracting #8: cost 4 inf + 4772 * * [misc]simplify: Extracting #9: cost 0 inf + 6584 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 298 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (284 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 23 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 88 * * [misc]simplify: Extracting #6: cost 11 inf + 821 * * [misc]simplify: Extracting #7: cost 5 inf + 2804 * * [misc]simplify: Extracting #8: cost 0 inf + 5424 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 43 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 3 inf + 2274 * * [misc]simplify: Extracting #8: cost 0 inf + 3564 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 299 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (455 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 94 inf + 0 * * [misc]simplify: Extracting #2: cost 120 inf + 0 * * [misc]simplify: Extracting #3: cost 123 inf + 0 * * [misc]simplify: Extracting #4: cost 129 inf + 0 * * [misc]simplify: Extracting #5: cost 120 inf + 660 * * [misc]simplify: Extracting #6: cost 118 inf + 742 * * [misc]simplify: Extracting #7: cost 97 inf + 10728 * * [misc]simplify: Extracting #8: cost 41 inf + 46338 * * [misc]simplify: Extracting #9: cost 3 inf + 72242 * * [misc]simplify: Extracting #10: cost 0 inf + 74534 * [exit]simplify: Simplified to (/ (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1508 * * [misc]simplify: Extracting #8: cost 4 inf + 5294 * * [misc]simplify: Extracting #9: cost 0 inf + 7426 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 300 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * * [misc]simplify: iters left: 1 (409 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 57 inf + 0 * * [misc]simplify: Extracting #2: cost 60 inf + 0 * * [misc]simplify: Extracting #3: cost 63 inf + 0 * * [misc]simplify: Extracting #4: cost 69 inf + 0 * * [misc]simplify: Extracting #5: cost 63 inf + 87 * * [misc]simplify: Extracting #6: cost 51 inf + 2760 * * [misc]simplify: Extracting #7: cost 29 inf + 13916 * * [misc]simplify: Extracting #8: cost 3 inf + 30494 * * [misc]simplify: Extracting #9: cost 0 inf + 32666 * [exit]simplify: Simplified to (/ (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1508 * * [misc]simplify: Extracting #8: cost 4 inf + 5334 * * [misc]simplify: Extracting #9: cost 0 inf + 7266 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 301 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 57 inf + 0 * * [misc]simplify: Extracting #2: cost 61 inf + 0 * * [misc]simplify: Extracting #3: cost 66 inf + 0 * * [misc]simplify: Extracting #4: cost 72 inf + 0 * * [misc]simplify: Extracting #5: cost 66 inf + 87 * * [misc]simplify: Extracting #6: cost 55 inf + 2558 * * [misc]simplify: Extracting #7: cost 38 inf + 10212 * * [misc]simplify: Extracting #8: cost 5 inf + 32532 * * [misc]simplify: Extracting #9: cost 0 inf + 36752 * [exit]simplify: Simplified to (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 498 * * [misc]simplify: Extracting #7: cost 14 inf + 1710 * * [misc]simplify: Extracting #8: cost 8 inf + 3846 * * [misc]simplify: Extracting #9: cost 0 inf + 8270 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 302 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (287 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 41 inf + 0 * * [misc]simplify: Extracting #2: cost 43 inf + 0 * * [misc]simplify: Extracting #3: cost 46 inf + 0 * * [misc]simplify: Extracting #4: cost 52 inf + 0 * * [misc]simplify: Extracting #5: cost 46 inf + 87 * * [misc]simplify: Extracting #6: cost 36 inf + 2074 * * [misc]simplify: Extracting #7: cost 16 inf + 12026 * * [misc]simplify: Extracting #8: cost 2 inf + 19798 * * [misc]simplify: Extracting #9: cost 0 inf + 21166 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 782 * * [misc]simplify: Extracting #8: cost 4 inf + 1952 * * [misc]simplify: Extracting #9: cost 0 inf + 3966 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 303 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (407 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 96 inf + 0 * * [misc]simplify: Extracting #2: cost 211 inf + 1 * * [misc]simplify: Extracting #3: cost 218 inf + 1 * * [misc]simplify: Extracting #4: cost 224 inf + 1 * * [misc]simplify: Extracting #5: cost 213 inf + 621 * * [misc]simplify: Extracting #6: cost 177 inf + 9301 * * [misc]simplify: Extracting #7: cost 83 inf + 56752 * * [misc]simplify: Extracting #8: cost 6 inf + 99615 * * [misc]simplify: Extracting #9: cost 0 inf + 103520 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1508 * * [misc]simplify: Extracting #8: cost 2 inf + 5900 * * [misc]simplify: Extracting #9: cost 0 inf + 6584 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 304 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (287 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 41 inf + 0 * * [misc]simplify: Extracting #2: cost 43 inf + 0 * * [misc]simplify: Extracting #3: cost 46 inf + 0 * * [misc]simplify: Extracting #4: cost 52 inf + 0 * * [misc]simplify: Extracting #5: cost 46 inf + 87 * * [misc]simplify: Extracting #6: cost 36 inf + 2074 * * [misc]simplify: Extracting #7: cost 16 inf + 12026 * * [misc]simplify: Extracting #8: cost 2 inf + 19798 * * [misc]simplify: Extracting #9: cost 0 inf + 21166 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 782 * * [misc]simplify: Extracting #8: cost 4 inf + 1952 * * [misc]simplify: Extracting #9: cost 0 inf + 3966 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 305 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (441 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 106 inf + 0 * * [misc]simplify: Extracting #2: cost 224 inf + 1 * * [misc]simplify: Extracting #3: cost 243 inf + 1 * * [misc]simplify: Extracting #4: cost 249 inf + 1 * * [misc]simplify: Extracting #5: cost 210 inf + 9053 * * [misc]simplify: Extracting #6: cost 50 inf + 93174 * * [misc]simplify: Extracting #7: cost 1 inf + 121287 * * [misc]simplify: Extracting #8: cost 0 inf + 121931 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1508 * * [misc]simplify: Extracting #8: cost 2 inf + 5900 * * [misc]simplify: Extracting #9: cost 0 inf + 6584 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 306 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (287 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 41 inf + 0 * * [misc]simplify: Extracting #2: cost 43 inf + 0 * * [misc]simplify: Extracting #3: cost 46 inf + 0 * * [misc]simplify: Extracting #4: cost 52 inf + 0 * * [misc]simplify: Extracting #5: cost 46 inf + 87 * * [misc]simplify: Extracting #6: cost 36 inf + 2074 * * [misc]simplify: Extracting #7: cost 16 inf + 12026 * * [misc]simplify: Extracting #8: cost 2 inf + 19798 * * [misc]simplify: Extracting #9: cost 0 inf + 21166 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 782 * * [misc]simplify: Extracting #8: cost 4 inf + 1952 * * [misc]simplify: Extracting #9: cost 0 inf + 3966 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 307 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 110 inf + 0 * * [misc]simplify: Extracting #2: cost 241 inf + 1 * * [misc]simplify: Extracting #3: cost 257 inf + 1 * * [misc]simplify: Extracting #4: cost 263 inf + 1 * * [misc]simplify: Extracting #5: cost 254 inf + 295 * * [misc]simplify: Extracting #6: cost 219 inf + 8567 * * [misc]simplify: Extracting #7: cost 117 inf + 59729 * * [misc]simplify: Extracting #8: cost 15 inf + 116102 * * [misc]simplify: Extracting #9: cost 0 inf + 124889 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1508 * * [misc]simplify: Extracting #8: cost 2 inf + 5900 * * [misc]simplify: Extracting #9: cost 0 inf + 6584 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 308 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 71 inf + 0 * * [misc]simplify: Extracting #2: cost 169 inf + 1 * * [misc]simplify: Extracting #3: cost 184 inf + 1 * * [misc]simplify: Extracting #4: cost 190 inf + 1 * * [misc]simplify: Extracting #5: cost 157 inf + 7869 * * [misc]simplify: Extracting #6: cost 91 inf + 38428 * * [misc]simplify: Extracting #7: cost 15 inf + 85370 * * [misc]simplify: Extracting #8: cost 1 inf + 95069 * * [misc]simplify: Extracting #9: cost 0 inf + 95793 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1508 * * [misc]simplify: Extracting #8: cost 4 inf + 4932 * * [misc]simplify: Extracting #9: cost 0 inf + 6904 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 309 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (349 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 39 inf + 0 * * [misc]simplify: Extracting #2: cost 45 inf + 1 * * [misc]simplify: Extracting #3: cost 48 inf + 1 * * [misc]simplify: Extracting #4: cost 54 inf + 1 * * [misc]simplify: Extracting #5: cost 49 inf + 47 * * [misc]simplify: Extracting #6: cost 42 inf + 821 * * [misc]simplify: Extracting #7: cost 26 inf + 7840 * * [misc]simplify: Extracting #8: cost 1 inf + 22063 * * [misc]simplify: Extracting #9: cost 0 inf + 22667 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 9 inf + 2878 * * [misc]simplify: Extracting #8: cost 0 inf + 6744 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 310 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (385 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 52 inf + 0 * * [misc]simplify: Extracting #2: cost 100 inf + 1 * * [misc]simplify: Extracting #3: cost 105 inf + 1 * * [misc]simplify: Extracting #4: cost 111 inf + 1 * * [misc]simplify: Extracting #5: cost 101 inf + 703 * * [misc]simplify: Extracting #6: cost 94 inf + 1958 * * [misc]simplify: Extracting #7: cost 84 inf + 6873 * * [misc]simplify: Extracting #8: cost 17 inf + 45629 * * [misc]simplify: Extracting #9: cost 0 inf + 56702 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1710 * * [misc]simplify: Extracting #8: cost 8 inf + 3484 * * [misc]simplify: Extracting #9: cost 1 inf + 6984 * * [misc]simplify: Extracting #10: cost 0 inf + 7748 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 311 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 40 inf + 0 * * [misc]simplify: Extracting #2: cost 48 inf + 1 * * [misc]simplify: Extracting #3: cost 51 inf + 1 * * [misc]simplify: Extracting #4: cost 57 inf + 1 * * [misc]simplify: Extracting #5: cost 51 inf + 88 * * [misc]simplify: Extracting #6: cost 44 inf + 1025 * * [misc]simplify: Extracting #7: cost 26 inf + 9132 * * [misc]simplify: Extracting #8: cost 2 inf + 23673 * * [misc]simplify: Extracting #9: cost 0 inf + 24922 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1508 * * [misc]simplify: Extracting #8: cost 4 inf + 4772 * * [misc]simplify: Extracting #9: cost 0 inf + 6584 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 312 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (319 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 87 * * [misc]simplify: Extracting #6: cost 10 inf + 866 * * [misc]simplify: Extracting #7: cost 8 inf + 1272 * * [misc]simplify: Extracting #8: cost 2 inf + 3852 * * [misc]simplify: Extracting #9: cost 0 inf + 4860 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 43 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 3 inf + 2274 * * [misc]simplify: Extracting #8: cost 0 inf + 3564 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 313 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 40 inf + 0 * * [misc]simplify: Extracting #2: cost 48 inf + 1 * * [misc]simplify: Extracting #3: cost 51 inf + 1 * * [misc]simplify: Extracting #4: cost 57 inf + 1 * * [misc]simplify: Extracting #5: cost 51 inf + 88 * * [misc]simplify: Extracting #6: cost 44 inf + 1025 * * [misc]simplify: Extracting #7: cost 26 inf + 9132 * * [misc]simplify: Extracting #8: cost 2 inf + 23673 * * [misc]simplify: Extracting #9: cost 0 inf + 24922 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1508 * * [misc]simplify: Extracting #8: cost 4 inf + 4772 * * [misc]simplify: Extracting #9: cost 0 inf + 6584 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 314 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 129 * * [misc]simplify: Extracting #6: cost 12 inf + 417 * * [misc]simplify: Extracting #7: cost 7 inf + 1552 * * [misc]simplify: Extracting #8: cost 0 inf + 4860 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 43 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 3 inf + 2274 * * [misc]simplify: Extracting #8: cost 0 inf + 3564 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 315 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (380 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 40 inf + 0 * * [misc]simplify: Extracting #2: cost 48 inf + 1 * * [misc]simplify: Extracting #3: cost 51 inf + 1 * * [misc]simplify: Extracting #4: cost 57 inf + 1 * * [misc]simplify: Extracting #5: cost 51 inf + 88 * * [misc]simplify: Extracting #6: cost 44 inf + 1025 * * [misc]simplify: Extracting #7: cost 26 inf + 9132 * * [misc]simplify: Extracting #8: cost 2 inf + 23673 * * [misc]simplify: Extracting #9: cost 0 inf + 24922 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1508 * * [misc]simplify: Extracting #8: cost 4 inf + 4772 * * [misc]simplify: Extracting #9: cost 0 inf + 6584 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 316 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * * [misc]simplify: iters left: 1 (367 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 209 * * [misc]simplify: Extracting #6: cost 12 inf + 455 * * [misc]simplify: Extracting #7: cost 4 inf + 3124 * * [misc]simplify: Extracting #8: cost 0 inf + 4860 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 43 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 3 inf + 2274 * * [misc]simplify: Extracting #8: cost 0 inf + 3564 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 317 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * * [misc]simplify: iters left: 1 (433 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 45 inf + 0 * * [misc]simplify: Extracting #2: cost 55 inf + 0 * * [misc]simplify: Extracting #3: cost 56 inf + 2 * * [misc]simplify: Extracting #4: cost 62 inf + 2 * * [misc]simplify: Extracting #5: cost 56 inf + 89 * * [misc]simplify: Extracting #6: cost 50 inf + 866 * * [misc]simplify: Extracting #7: cost 41 inf + 3850 * * [misc]simplify: Extracting #8: cost 16 inf + 18502 * * [misc]simplify: Extracting #9: cost 1 inf + 28118 * * [misc]simplify: Extracting #10: cost 0 inf + 28922 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* d d) (* c c)))) (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* d d) (* c c)))) (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 16 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 1186 * * [misc]simplify: Extracting #8: cost 5 inf + 2194 * * [misc]simplify: Extracting #9: cost 0 inf + 4890 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* d d) (* c c)))) (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 318 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (431 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 53 inf + 0 * * [misc]simplify: Extracting #2: cost 60 inf + 0 * * [misc]simplify: Extracting #3: cost 64 inf + 0 * * [misc]simplify: Extracting #4: cost 70 inf + 0 * * [misc]simplify: Extracting #5: cost 64 inf + 87 * * [misc]simplify: Extracting #6: cost 53 inf + 1914 * * [misc]simplify: Extracting #7: cost 29 inf + 14872 * * [misc]simplify: Extracting #8: cost 1 inf + 34538 * * [misc]simplify: Extracting #9: cost 0 inf + 35302 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 2436 * * [misc]simplify: Extracting #8: cost 0 inf + 8590 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 319 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (422 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 51 inf + 0 * * [misc]simplify: Extracting #2: cost 56 inf + 0 * * [misc]simplify: Extracting #3: cost 60 inf + 0 * * [misc]simplify: Extracting #4: cost 66 inf + 0 * * [misc]simplify: Extracting #5: cost 60 inf + 87 * * [misc]simplify: Extracting #6: cost 51 inf + 1550 * * [misc]simplify: Extracting #7: cost 38 inf + 7354 * * [misc]simplify: Extracting #8: cost 6 inf + 28388 * * [misc]simplify: Extracting #9: cost 0 inf + 32410 * [exit]simplify: Simplified to (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 10 inf + 2636 * * [misc]simplify: Extracting #8: cost 1 inf + 7264 * * [misc]simplify: Extracting #9: cost 0 inf + 8028 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 320 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (422 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 51 inf + 0 * * [misc]simplify: Extracting #2: cost 56 inf + 0 * * [misc]simplify: Extracting #3: cost 60 inf + 0 * * [misc]simplify: Extracting #4: cost 66 inf + 0 * * [misc]simplify: Extracting #5: cost 60 inf + 87 * * [misc]simplify: Extracting #6: cost 51 inf + 1550 * * [misc]simplify: Extracting #7: cost 46 inf + 3406 * * [misc]simplify: Extracting #8: cost 11 inf + 24048 * * [misc]simplify: Extracting #9: cost 1 inf + 30486 * * [misc]simplify: Extracting #10: cost 0 inf + 31130 * [exit]simplify: Simplified to (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 10 inf + 2636 * * [misc]simplify: Extracting #8: cost 1 inf + 7104 * * [misc]simplify: Extracting #9: cost 0 inf + 7868 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 321 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (365 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 108 inf + 0 * * [misc]simplify: Extracting #2: cost 300 inf + 1 * * [misc]simplify: Extracting #3: cost 306 inf + 1 * * [misc]simplify: Extracting #4: cost 312 inf + 1 * * [misc]simplify: Extracting #5: cost 299 inf + 1141 * * [misc]simplify: Extracting #6: cost 243 inf + 18829 * * [misc]simplify: Extracting #7: cost 151 inf + 63894 * * [misc]simplify: Extracting #8: cost 22 inf + 146214 * * [misc]simplify: Extracting #9: cost 1 inf + 159659 * * [misc]simplify: Extracting #10: cost 0 inf + 160383 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 8 inf + 3202 * * [misc]simplify: Extracting #8: cost 0 inf + 7346 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 322 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (422 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 51 inf + 0 * * [misc]simplify: Extracting #2: cost 56 inf + 0 * * [misc]simplify: Extracting #3: cost 60 inf + 0 * * [misc]simplify: Extracting #4: cost 66 inf + 0 * * [misc]simplify: Extracting #5: cost 60 inf + 87 * * [misc]simplify: Extracting #6: cost 51 inf + 1550 * * [misc]simplify: Extracting #7: cost 46 inf + 3406 * * [misc]simplify: Extracting #8: cost 11 inf + 24048 * * [misc]simplify: Extracting #9: cost 1 inf + 30486 * * [misc]simplify: Extracting #10: cost 0 inf + 31130 * [exit]simplify: Simplified to (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 10 inf + 2636 * * [misc]simplify: Extracting #8: cost 1 inf + 7104 * * [misc]simplify: Extracting #9: cost 0 inf + 7868 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 323 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (357 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 69 inf + 0 * * [misc]simplify: Extracting #2: cost 187 inf + 1 * * [misc]simplify: Extracting #3: cost 191 inf + 1 * * [misc]simplify: Extracting #4: cost 197 inf + 1 * * [misc]simplify: Extracting #5: cost 183 inf + 1265 * * [misc]simplify: Extracting #6: cost 119 inf + 24262 * * [misc]simplify: Extracting #7: cost 78 inf + 47268 * * [misc]simplify: Extracting #8: cost 11 inf + 89495 * * [misc]simplify: Extracting #9: cost 0 inf + 96621 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 8 inf + 3202 * * [misc]simplify: Extracting #8: cost 0 inf + 7346 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 324 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (422 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 51 inf + 0 * * [misc]simplify: Extracting #2: cost 56 inf + 0 * * [misc]simplify: Extracting #3: cost 60 inf + 0 * * [misc]simplify: Extracting #4: cost 66 inf + 0 * * [misc]simplify: Extracting #5: cost 60 inf + 87 * * [misc]simplify: Extracting #6: cost 51 inf + 1550 * * [misc]simplify: Extracting #7: cost 46 inf + 3406 * * [misc]simplify: Extracting #8: cost 11 inf + 24048 * * [misc]simplify: Extracting #9: cost 1 inf + 30486 * * [misc]simplify: Extracting #10: cost 0 inf + 31130 * [exit]simplify: Simplified to (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 10 inf + 2636 * * [misc]simplify: Extracting #8: cost 1 inf + 7104 * * [misc]simplify: Extracting #9: cost 0 inf + 7868 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 325 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (354 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 73 inf + 0 * * [misc]simplify: Extracting #2: cost 191 inf + 1 * * [misc]simplify: Extracting #3: cost 197 inf + 1 * * [misc]simplify: Extracting #4: cost 203 inf + 1 * * [misc]simplify: Extracting #5: cost 191 inf + 1099 * * [misc]simplify: Extracting #6: cost 188 inf + 1467 * * [misc]simplify: Extracting #7: cost 129 inf + 24996 * * [misc]simplify: Extracting #8: cost 35 inf + 75181 * * [misc]simplify: Extracting #9: cost 1 inf + 98197 * * [misc]simplify: Extracting #10: cost 0 inf + 98921 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 8 inf + 3202 * * [misc]simplify: Extracting #8: cost 0 inf + 7346 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 326 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 51 inf + 0 * * [misc]simplify: Extracting #2: cost 59 inf + 0 * * [misc]simplify: Extracting #3: cost 63 inf + 0 * * [misc]simplify: Extracting #4: cost 69 inf + 0 * * [misc]simplify: Extracting #5: cost 63 inf + 87 * * [misc]simplify: Extracting #6: cost 53 inf + 1712 * * [misc]simplify: Extracting #7: cost 45 inf + 5298 * * [misc]simplify: Extracting #8: cost 8 inf + 28548 * * [misc]simplify: Extracting #9: cost 0 inf + 34618 * [exit]simplify: Simplified to (* (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 2436 * * [misc]simplify: Extracting #8: cost 0 inf + 8590 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 327 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 33 inf + 0 * * [misc]simplify: Extracting #2: cost 40 inf + 0 * * [misc]simplify: Extracting #3: cost 43 inf + 0 * * [misc]simplify: Extracting #4: cost 49 inf + 0 * * [misc]simplify: Extracting #5: cost 43 inf + 87 * * [misc]simplify: Extracting #6: cost 29 inf + 3566 * * [misc]simplify: Extracting #7: cost 2 inf + 18584 * * [misc]simplify: Extracting #8: cost 0 inf + 19952 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 984 * * [misc]simplify: Extracting #8: cost 4 inf + 2234 * * [misc]simplify: Extracting #9: cost 0 inf + 4528 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 328 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 35 inf + 0 * * [misc]simplify: Extracting #3: cost 39 inf + 0 * * [misc]simplify: Extracting #4: cost 45 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 46 * * [misc]simplify: Extracting #6: cost 30 inf + 1470 * * [misc]simplify: Extracting #7: cost 19 inf + 6104 * * [misc]simplify: Extracting #8: cost 0 inf + 17652 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* d d) (* c c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* d d) (* c c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 10 inf + 2676 * * [misc]simplify: Extracting #8: cost 1 inf + 7304 * * [misc]simplify: Extracting #9: cost 0 inf + 8068 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* d d) (* c c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 329 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 36 inf + 0 * * [misc]simplify: Extracting #3: cost 40 inf + 0 * * [misc]simplify: Extracting #4: cost 46 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 87 * * [misc]simplify: Extracting #6: cost 30 inf + 1712 * * [misc]simplify: Extracting #7: cost 16 inf + 8358 * * [misc]simplify: Extracting #8: cost 7 inf + 13468 * * [misc]simplify: Extracting #9: cost 0 inf + 17854 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 2436 * * [misc]simplify: Extracting #8: cost 0 inf + 8270 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 330 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (356 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 33 inf + 0 * * [misc]simplify: Extracting #2: cost 45 inf + 1 * * [misc]simplify: Extracting #3: cost 49 inf + 1 * * [misc]simplify: Extracting #4: cost 55 inf + 1 * * [misc]simplify: Extracting #5: cost 49 inf + 88 * * [misc]simplify: Extracting #6: cost 41 inf + 1265 * * [misc]simplify: Extracting #7: cost 28 inf + 4878 * * [misc]simplify: Extracting #8: cost 1 inf + 16545 * * [misc]simplify: Extracting #9: cost 0 inf + 17069 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 6 inf + 4530 * * [misc]simplify: Extracting #8: cost 0 inf + 7748 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 331 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 36 inf + 0 * * [misc]simplify: Extracting #3: cost 40 inf + 0 * * [misc]simplify: Extracting #4: cost 46 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 87 * * [misc]simplify: Extracting #6: cost 30 inf + 1712 * * [misc]simplify: Extracting #7: cost 16 inf + 8358 * * [misc]simplify: Extracting #8: cost 7 inf + 13468 * * [misc]simplify: Extracting #9: cost 0 inf + 17854 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 2436 * * [misc]simplify: Extracting #8: cost 0 inf + 8270 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 332 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (350 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 34 inf + 1 * * [misc]simplify: Extracting #3: cost 38 inf + 1 * * [misc]simplify: Extracting #4: cost 44 inf + 1 * * [misc]simplify: Extracting #5: cost 39 inf + 47 * * [misc]simplify: Extracting #6: cost 29 inf + 1600 * * [misc]simplify: Extracting #7: cost 22 inf + 3186 * * [misc]simplify: Extracting #8: cost 14 inf + 6614 * * [misc]simplify: Extracting #9: cost 3 inf + 12372 * * [misc]simplify: Extracting #10: cost 0 inf + 14264 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 6 inf + 4530 * * [misc]simplify: Extracting #8: cost 0 inf + 7748 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 333 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 36 inf + 0 * * [misc]simplify: Extracting #3: cost 40 inf + 0 * * [misc]simplify: Extracting #4: cost 46 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 87 * * [misc]simplify: Extracting #6: cost 30 inf + 1712 * * [misc]simplify: Extracting #7: cost 16 inf + 8358 * * [misc]simplify: Extracting #8: cost 7 inf + 13468 * * [misc]simplify: Extracting #9: cost 0 inf + 17854 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 2436 * * [misc]simplify: Extracting #8: cost 0 inf + 8270 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 334 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (290 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 1 * * [misc]simplify: Extracting #3: cost 24 inf + 1 * * [misc]simplify: Extracting #4: cost 30 inf + 1 * * [misc]simplify: Extracting #5: cost 24 inf + 88 * * [misc]simplify: Extracting #6: cost 17 inf + 1023 * * [misc]simplify: Extracting #7: cost 9 inf + 3692 * * [misc]simplify: Extracting #8: cost 0 inf + 8402 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 6 inf + 4530 * * [misc]simplify: Extracting #8: cost 0 inf + 7748 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 335 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 50 inf + 0 * * [misc]simplify: Extracting #2: cost 55 inf + 0 * * [misc]simplify: Extracting #3: cost 59 inf + 0 * * [misc]simplify: Extracting #4: cost 65 inf + 0 * * [misc]simplify: Extracting #5: cost 59 inf + 87 * * [misc]simplify: Extracting #6: cost 48 inf + 2396 * * [misc]simplify: Extracting #7: cost 38 inf + 7152 * * [misc]simplify: Extracting #8: cost 19 inf + 18898 * * [misc]simplify: Extracting #9: cost 0 inf + 31486 * [exit]simplify: Simplified to (* (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1710 * * [misc]simplify: Extracting #8: cost 8 inf + 3604 * * [misc]simplify: Extracting #9: cost 1 inf + 7264 * * [misc]simplify: Extracting #10: cost 0 inf + 8028 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 336 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 35 inf + 0 * * [misc]simplify: Extracting #3: cost 39 inf + 0 * * [misc]simplify: Extracting #4: cost 45 inf + 0 * * [misc]simplify: Extracting #5: cost 39 inf + 87 * * [misc]simplify: Extracting #6: cost 30 inf + 1470 * * [misc]simplify: Extracting #7: cost 15 inf + 8798 * * [misc]simplify: Extracting #8: cost 0 inf + 17652 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1710 * * [misc]simplify: Extracting #8: cost 8 inf + 3644 * * [misc]simplify: Extracting #9: cost 1 inf + 7304 * * [misc]simplify: Extracting #10: cost 0 inf + 8068 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 337 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 2 * * [misc]simplify: Extracting #4: cost 31 inf + 2 * * [misc]simplify: Extracting #5: cost 25 inf + 89 * * [misc]simplify: Extracting #6: cost 17 inf + 1552 * * [misc]simplify: Extracting #7: cost 7 inf + 5826 * * [misc]simplify: Extracting #8: cost 0 inf + 9372 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 823 * * [misc]simplify: Extracting #8: cost 3 inf + 2395 * * [misc]simplify: Extracting #9: cost 0 inf + 3765 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 338 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 34 inf + 0 * * [misc]simplify: Extracting #3: cost 38 inf + 0 * * [misc]simplify: Extracting #4: cost 44 inf + 0 * * [misc]simplify: Extracting #5: cost 38 inf + 87 * * [misc]simplify: Extracting #6: cost 29 inf + 1470 * * [misc]simplify: Extracting #7: cost 18 inf + 6064 * * [misc]simplify: Extracting #8: cost 0 inf + 16690 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1710 * * [misc]simplify: Extracting #8: cost 8 inf + 3604 * * [misc]simplify: Extracting #9: cost 1 inf + 6984 * * [misc]simplify: Extracting #10: cost 0 inf + 7708 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 339 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (466 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 1 * * [misc]simplify: Extracting #3: cost 22 inf + 1 * * [misc]simplify: Extracting #4: cost 28 inf + 1 * * [misc]simplify: Extracting #5: cost 22 inf + 88 * * [misc]simplify: Extracting #6: cost 13 inf + 1554 * * [misc]simplify: Extracting #7: cost 7 inf + 4174 * * [misc]simplify: Extracting #8: cost 0 inf + 7800 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1710 * * [misc]simplify: Extracting #8: cost 5 inf + 4490 * * [misc]simplify: Extracting #9: cost 0 inf + 7186 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))))) * * * * [misc]progress: [ 340 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 34 inf + 0 * * [misc]simplify: Extracting #3: cost 38 inf + 0 * * [misc]simplify: Extracting #4: cost 44 inf + 0 * * [misc]simplify: Extracting #5: cost 38 inf + 87 * * [misc]simplify: Extracting #6: cost 29 inf + 1470 * * [misc]simplify: Extracting #7: cost 18 inf + 6064 * * [misc]simplify: Extracting #8: cost 0 inf + 16690 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1710 * * [misc]simplify: Extracting #8: cost 8 inf + 3604 * * [misc]simplify: Extracting #9: cost 1 inf + 6984 * * [misc]simplify: Extracting #10: cost 0 inf + 7708 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 341 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (446 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 1 * * [misc]simplify: Extracting #3: cost 23 inf + 1 * * [misc]simplify: Extracting #4: cost 29 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 88 * * [misc]simplify: Extracting #6: cost 16 inf + 1065 * * [misc]simplify: Extracting #7: cost 8 inf + 4094 * * [misc]simplify: Extracting #8: cost 1 inf + 7841 * * [misc]simplify: Extracting #9: cost 0 inf + 8405 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1710 * * [misc]simplify: Extracting #8: cost 5 inf + 4490 * * [misc]simplify: Extracting #9: cost 0 inf + 7186 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))))) * * * * [misc]progress: [ 342 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 34 inf + 0 * * [misc]simplify: Extracting #3: cost 38 inf + 0 * * [misc]simplify: Extracting #4: cost 44 inf + 0 * * [misc]simplify: Extracting #5: cost 38 inf + 87 * * [misc]simplify: Extracting #6: cost 29 inf + 1470 * * [misc]simplify: Extracting #7: cost 18 inf + 6064 * * [misc]simplify: Extracting #8: cost 0 inf + 16690 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1710 * * [misc]simplify: Extracting #8: cost 8 inf + 3604 * * [misc]simplify: Extracting #9: cost 1 inf + 6984 * * [misc]simplify: Extracting #10: cost 0 inf + 7708 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 343 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * * [misc]simplify: iters left: 1 (456 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 1 * * [misc]simplify: Extracting #3: cost 23 inf + 1 * * [misc]simplify: Extracting #4: cost 29 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 88 * * [misc]simplify: Extracting #6: cost 17 inf + 861 * * [misc]simplify: Extracting #7: cost 10 inf + 3288 * * [misc]simplify: Extracting #8: cost 4 inf + 6109 * * [misc]simplify: Extracting #9: cost 0 inf + 8365 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1710 * * [misc]simplify: Extracting #8: cost 5 inf + 4490 * * [misc]simplify: Extracting #9: cost 0 inf + 7186 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))))) * * * * [misc]progress: [ 344 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (421 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 50 inf + 0 * * [misc]simplify: Extracting #2: cost 56 inf + 0 * * [misc]simplify: Extracting #3: cost 60 inf + 0 * * [misc]simplify: Extracting #4: cost 66 inf + 0 * * [misc]simplify: Extracting #5: cost 60 inf + 87 * * [misc]simplify: Extracting #6: cost 50 inf + 1712 * * [misc]simplify: Extracting #7: cost 46 inf + 3406 * * [misc]simplify: Extracting #8: cost 30 inf + 11820 * * [misc]simplify: Extracting #9: cost 1 inf + 30646 * * [misc]simplify: Extracting #10: cost 0 inf + 31210 * [exit]simplify: Simplified to (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 10 inf + 2556 * * [misc]simplify: Extracting #8: cost 1 inf + 7104 * * [misc]simplify: Extracting #9: cost 0 inf + 7868 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 345 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 36 inf + 0 * * [misc]simplify: Extracting #3: cost 40 inf + 0 * * [misc]simplify: Extracting #4: cost 46 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 87 * * [misc]simplify: Extracting #6: cost 30 inf + 1712 * * [misc]simplify: Extracting #7: cost 20 inf + 5944 * * [misc]simplify: Extracting #8: cost 5 inf + 14394 * * [misc]simplify: Extracting #9: cost 0 inf + 17854 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (* (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (* (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 2396 * * [misc]simplify: Extracting #8: cost 0 inf + 8270 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (* (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 346 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 34 inf + 0 * * [misc]simplify: Extracting #3: cost 38 inf + 0 * * [misc]simplify: Extracting #4: cost 44 inf + 0 * * [misc]simplify: Extracting #5: cost 38 inf + 87 * * [misc]simplify: Extracting #6: cost 32 inf + 864 * * [misc]simplify: Extracting #7: cost 29 inf + 1470 * * [misc]simplify: Extracting #8: cost 22 inf + 4090 * * [misc]simplify: Extracting #9: cost 8 inf + 11820 * * [misc]simplify: Extracting #10: cost 0 inf + 16690 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 10 inf + 2556 * * [misc]simplify: Extracting #8: cost 1 inf + 6984 * * [misc]simplify: Extracting #9: cost 0 inf + 7708 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 347 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 36 inf + 0 * * [misc]simplify: Extracting #5: cost 31 inf + 46 * * [misc]simplify: Extracting #6: cost 24 inf + 898 * * [misc]simplify: Extracting #7: cost 16 inf + 3324 * * [misc]simplify: Extracting #8: cost 2 inf + 10416 * * [misc]simplify: Extracting #9: cost 0 inf + 11784 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 984 * * [misc]simplify: Extracting #8: cost 4 inf + 2154 * * [misc]simplify: Extracting #9: cost 0 inf + 4288 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 348 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (406 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 1 * * [misc]simplify: Extracting #3: cost 24 inf + 1 * * [misc]simplify: Extracting #4: cost 30 inf + 1 * * [misc]simplify: Extracting #5: cost 24 inf + 88 * * [misc]simplify: Extracting #6: cost 20 inf + 417 * * [misc]simplify: Extracting #7: cost 14 inf + 1716 * * [misc]simplify: Extracting #8: cost 9 inf + 3652 * * [misc]simplify: Extracting #9: cost 2 inf + 7076 * * [misc]simplify: Extracting #10: cost 0 inf + 8404 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* d d) (* c c)))) (/ (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* d d) (* c c)))) (/ (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 8 inf + 3122 * * [misc]simplify: Extracting #8: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* d d) (* c c)))) (/ (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 349 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 36 inf + 0 * * [misc]simplify: Extracting #5: cost 31 inf + 46 * * [misc]simplify: Extracting #6: cost 24 inf + 898 * * [misc]simplify: Extracting #7: cost 16 inf + 3324 * * [misc]simplify: Extracting #8: cost 2 inf + 10416 * * [misc]simplify: Extracting #9: cost 0 inf + 11784 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 984 * * [misc]simplify: Extracting #8: cost 4 inf + 2154 * * [misc]simplify: Extracting #9: cost 0 inf + 4288 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 350 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (207 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 33 inf + 0 * * [misc]simplify: Extracting #2: cost 55 inf + 1 * * [misc]simplify: Extracting #3: cost 59 inf + 1 * * [misc]simplify: Extracting #4: cost 65 inf + 1 * * [misc]simplify: Extracting #5: cost 59 inf + 88 * * [misc]simplify: Extracting #6: cost 56 inf + 295 * * [misc]simplify: Extracting #7: cost 28 inf + 7404 * * [misc]simplify: Extracting #8: cost 19 inf + 10478 * * [misc]simplify: Extracting #9: cost 16 inf + 11688 * * [misc]simplify: Extracting #10: cost 3 inf + 18978 * * [misc]simplify: Extracting #11: cost 0 inf + 20550 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 8 inf + 3122 * * [misc]simplify: Extracting #8: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 351 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 36 inf + 0 * * [misc]simplify: Extracting #5: cost 31 inf + 46 * * [misc]simplify: Extracting #6: cost 24 inf + 898 * * [misc]simplify: Extracting #7: cost 16 inf + 3324 * * [misc]simplify: Extracting #8: cost 2 inf + 10416 * * [misc]simplify: Extracting #9: cost 0 inf + 11784 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 984 * * [misc]simplify: Extracting #8: cost 4 inf + 2154 * * [misc]simplify: Extracting #9: cost 0 inf + 4288 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 352 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (442 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 1 * * [misc]simplify: Extracting #3: cost 24 inf + 1 * * [misc]simplify: Extracting #4: cost 30 inf + 1 * * [misc]simplify: Extracting #5: cost 25 inf + 47 * * [misc]simplify: Extracting #6: cost 16 inf + 1227 * * [misc]simplify: Extracting #7: cost 8 inf + 4014 * * [misc]simplify: Extracting #8: cost 0 inf + 8404 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 8 inf + 3122 * * [misc]simplify: Extracting #8: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 353 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 59 inf + 0 * * [misc]simplify: Extracting #2: cost 111 inf + 1 * * [misc]simplify: Extracting #3: cost 115 inf + 1 * * [misc]simplify: Extracting #4: cost 121 inf + 1 * * [misc]simplify: Extracting #5: cost 113 inf + 254 * * [misc]simplify: Extracting #6: cost 88 inf + 7871 * * [misc]simplify: Extracting #7: cost 65 inf + 18723 * * [misc]simplify: Extracting #8: cost 23 inf + 44531 * * [misc]simplify: Extracting #9: cost 0 inf + 59989 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 5 inf + 4652 * * [misc]simplify: Extracting #8: cost 0 inf + 7346 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 354 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 1 * * [misc]simplify: Extracting #3: cost 24 inf + 1 * * [misc]simplify: Extracting #4: cost 30 inf + 1 * * [misc]simplify: Extracting #5: cost 24 inf + 88 * * [misc]simplify: Extracting #6: cost 15 inf + 1471 * * [misc]simplify: Extracting #7: cost 10 inf + 3208 * * [misc]simplify: Extracting #8: cost 1 inf + 7718 * * [misc]simplify: Extracting #9: cost 0 inf + 8402 * [exit]simplify: Simplified to (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 2154 * * [misc]simplify: Extracting #8: cost 2 inf + 6380 * * [misc]simplify: Extracting #9: cost 0 inf + 7748 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 355 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * * [misc]simplify: iters left: 1 (308 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 27 inf + 0 * * [misc]simplify: Extracting #2: cost 31 inf + 1 * * [misc]simplify: Extracting #3: cost 34 inf + 1 * * [misc]simplify: Extracting #4: cost 40 inf + 1 * * [misc]simplify: Extracting #5: cost 35 inf + 47 * * [misc]simplify: Extracting #6: cost 30 inf + 495 * * [misc]simplify: Extracting #7: cost 24 inf + 1833 * * [misc]simplify: Extracting #8: cost 4 inf + 11556 * * [misc]simplify: Extracting #9: cost 0 inf + 13814 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 9 inf + 2960 * * [misc]simplify: Extracting #8: cost 3 inf + 5616 * * [misc]simplify: Extracting #9: cost 0 inf + 7186 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 356 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (285 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 30 inf + 1 * * [misc]simplify: Extracting #3: cost 34 inf + 1 * * [misc]simplify: Extracting #4: cost 40 inf + 1 * * [misc]simplify: Extracting #5: cost 34 inf + 88 * * [misc]simplify: Extracting #6: cost 26 inf + 1227 * * [misc]simplify: Extracting #7: cost 16 inf + 4865 * * [misc]simplify: Extracting #8: cost 9 inf + 8412 * * [misc]simplify: Extracting #9: cost 1 inf + 12845 * * [misc]simplify: Extracting #10: cost 0 inf + 13489 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 5 inf + 4492 * * [misc]simplify: Extracting #8: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 357 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 251 * * [misc]simplify: Extracting #6: cost 6 inf + 1103 * * [misc]simplify: Extracting #7: cost 1 inf + 2764 * * [misc]simplify: Extracting #8: cost 0 inf + 3288 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 43 * * [misc]simplify: Extracting #6: cost 9 inf + 816 * * [misc]simplify: Extracting #7: cost 2 inf + 2718 * * [misc]simplify: Extracting #8: cost 0 inf + 3886 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 358 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (285 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 30 inf + 1 * * [misc]simplify: Extracting #3: cost 34 inf + 1 * * [misc]simplify: Extracting #4: cost 40 inf + 1 * * [misc]simplify: Extracting #5: cost 34 inf + 88 * * [misc]simplify: Extracting #6: cost 26 inf + 1227 * * [misc]simplify: Extracting #7: cost 16 inf + 4865 * * [misc]simplify: Extracting #8: cost 9 inf + 8412 * * [misc]simplify: Extracting #9: cost 1 inf + 12845 * * [misc]simplify: Extracting #10: cost 0 inf + 13489 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 5 inf + 4492 * * [misc]simplify: Extracting #8: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 359 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt 1)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 251 * * [misc]simplify: Extracting #6: cost 6 inf + 1103 * * [misc]simplify: Extracting #7: cost 1 inf + 2764 * * [misc]simplify: Extracting #8: cost 0 inf + 3288 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 43 * * [misc]simplify: Extracting #6: cost 9 inf + 816 * * [misc]simplify: Extracting #7: cost 2 inf + 2718 * * [misc]simplify: Extracting #8: cost 0 inf + 3886 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 360 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (285 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 30 inf + 1 * * [misc]simplify: Extracting #3: cost 34 inf + 1 * * [misc]simplify: Extracting #4: cost 40 inf + 1 * * [misc]simplify: Extracting #5: cost 34 inf + 88 * * [misc]simplify: Extracting #6: cost 26 inf + 1227 * * [misc]simplify: Extracting #7: cost 16 inf + 4865 * * [misc]simplify: Extracting #8: cost 9 inf + 8412 * * [misc]simplify: Extracting #9: cost 1 inf + 12845 * * [misc]simplify: Extracting #10: cost 0 inf + 13489 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 5 inf + 4492 * * [misc]simplify: Extracting #8: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 361 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 251 * * [misc]simplify: Extracting #6: cost 6 inf + 1103 * * [misc]simplify: Extracting #7: cost 0 inf + 3288 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 43 * * [misc]simplify: Extracting #6: cost 9 inf + 816 * * [misc]simplify: Extracting #7: cost 2 inf + 2718 * * [misc]simplify: Extracting #8: cost 0 inf + 3886 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 362 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (421 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 50 inf + 0 * * [misc]simplify: Extracting #2: cost 56 inf + 0 * * [misc]simplify: Extracting #3: cost 60 inf + 0 * * [misc]simplify: Extracting #4: cost 66 inf + 0 * * [misc]simplify: Extracting #5: cost 60 inf + 87 * * [misc]simplify: Extracting #6: cost 50 inf + 1712 * * [misc]simplify: Extracting #7: cost 46 inf + 3406 * * [misc]simplify: Extracting #8: cost 30 inf + 11820 * * [misc]simplify: Extracting #9: cost 1 inf + 30646 * * [misc]simplify: Extracting #10: cost 0 inf + 31210 * [exit]simplify: Simplified to (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 10 inf + 2556 * * [misc]simplify: Extracting #8: cost 1 inf + 7104 * * [misc]simplify: Extracting #9: cost 0 inf + 7868 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 363 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 36 inf + 0 * * [misc]simplify: Extracting #3: cost 40 inf + 0 * * [misc]simplify: Extracting #4: cost 46 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 87 * * [misc]simplify: Extracting #6: cost 30 inf + 1712 * * [misc]simplify: Extracting #7: cost 20 inf + 5944 * * [misc]simplify: Extracting #8: cost 5 inf + 14394 * * [misc]simplify: Extracting #9: cost 0 inf + 17854 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (* (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (* (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 2396 * * [misc]simplify: Extracting #8: cost 0 inf + 8270 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (* (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 364 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 34 inf + 0 * * [misc]simplify: Extracting #3: cost 38 inf + 0 * * [misc]simplify: Extracting #4: cost 44 inf + 0 * * [misc]simplify: Extracting #5: cost 38 inf + 87 * * [misc]simplify: Extracting #6: cost 32 inf + 864 * * [misc]simplify: Extracting #7: cost 29 inf + 1470 * * [misc]simplify: Extracting #8: cost 22 inf + 4090 * * [misc]simplify: Extracting #9: cost 8 inf + 11820 * * [misc]simplify: Extracting #10: cost 0 inf + 16690 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 10 inf + 2556 * * [misc]simplify: Extracting #8: cost 1 inf + 6984 * * [misc]simplify: Extracting #9: cost 0 inf + 7708 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 365 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 36 inf + 0 * * [misc]simplify: Extracting #5: cost 31 inf + 46 * * [misc]simplify: Extracting #6: cost 24 inf + 898 * * [misc]simplify: Extracting #7: cost 16 inf + 3324 * * [misc]simplify: Extracting #8: cost 2 inf + 10416 * * [misc]simplify: Extracting #9: cost 0 inf + 11784 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 984 * * [misc]simplify: Extracting #8: cost 4 inf + 2154 * * [misc]simplify: Extracting #9: cost 0 inf + 4288 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 366 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (406 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 1 * * [misc]simplify: Extracting #3: cost 24 inf + 1 * * [misc]simplify: Extracting #4: cost 30 inf + 1 * * [misc]simplify: Extracting #5: cost 24 inf + 88 * * [misc]simplify: Extracting #6: cost 20 inf + 417 * * [misc]simplify: Extracting #7: cost 14 inf + 1716 * * [misc]simplify: Extracting #8: cost 9 inf + 3652 * * [misc]simplify: Extracting #9: cost 2 inf + 7076 * * [misc]simplify: Extracting #10: cost 0 inf + 8404 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* d d) (* c c)))) (/ (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* d d) (* c c)))) (/ (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 8 inf + 3122 * * [misc]simplify: Extracting #8: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* d d) (* c c)))) (/ (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 367 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 36 inf + 0 * * [misc]simplify: Extracting #5: cost 31 inf + 46 * * [misc]simplify: Extracting #6: cost 24 inf + 898 * * [misc]simplify: Extracting #7: cost 16 inf + 3324 * * [misc]simplify: Extracting #8: cost 2 inf + 10416 * * [misc]simplify: Extracting #9: cost 0 inf + 11784 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 984 * * [misc]simplify: Extracting #8: cost 4 inf + 2154 * * [misc]simplify: Extracting #9: cost 0 inf + 4288 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 368 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (207 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 33 inf + 0 * * [misc]simplify: Extracting #2: cost 55 inf + 1 * * [misc]simplify: Extracting #3: cost 59 inf + 1 * * [misc]simplify: Extracting #4: cost 65 inf + 1 * * [misc]simplify: Extracting #5: cost 59 inf + 88 * * [misc]simplify: Extracting #6: cost 56 inf + 295 * * [misc]simplify: Extracting #7: cost 28 inf + 7404 * * [misc]simplify: Extracting #8: cost 19 inf + 10478 * * [misc]simplify: Extracting #9: cost 16 inf + 11688 * * [misc]simplify: Extracting #10: cost 3 inf + 18978 * * [misc]simplify: Extracting #11: cost 0 inf + 20550 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 8 inf + 3122 * * [misc]simplify: Extracting #8: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 369 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 36 inf + 0 * * [misc]simplify: Extracting #5: cost 31 inf + 46 * * [misc]simplify: Extracting #6: cost 24 inf + 898 * * [misc]simplify: Extracting #7: cost 16 inf + 3324 * * [misc]simplify: Extracting #8: cost 2 inf + 10416 * * [misc]simplify: Extracting #9: cost 0 inf + 11784 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 984 * * [misc]simplify: Extracting #8: cost 4 inf + 2154 * * [misc]simplify: Extracting #9: cost 0 inf + 4288 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 370 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (442 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 1 * * [misc]simplify: Extracting #3: cost 24 inf + 1 * * [misc]simplify: Extracting #4: cost 30 inf + 1 * * [misc]simplify: Extracting #5: cost 25 inf + 47 * * [misc]simplify: Extracting #6: cost 16 inf + 1227 * * [misc]simplify: Extracting #7: cost 8 inf + 4014 * * [misc]simplify: Extracting #8: cost 0 inf + 8404 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 8 inf + 3122 * * [misc]simplify: Extracting #8: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 371 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 75 inf + 0 * * [misc]simplify: Extracting #2: cost 153 inf + 1 * * [misc]simplify: Extracting #3: cost 161 inf + 1 * * [misc]simplify: Extracting #4: cost 167 inf + 1 * * [misc]simplify: Extracting #5: cost 159 inf + 254 * * [misc]simplify: Extracting #6: cost 122 inf + 12676 * * [misc]simplify: Extracting #7: cost 32 inf + 62563 * * [misc]simplify: Extracting #8: cost 1 inf + 84172 * * [misc]simplify: Extracting #9: cost 0 inf + 84937 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 5 inf + 4652 * * [misc]simplify: Extracting #8: cost 0 inf + 7346 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 372 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 20 inf + 0 * * [misc]simplify: Extracting #2: cost 26 inf + 1 * * [misc]simplify: Extracting #3: cost 30 inf + 1 * * [misc]simplify: Extracting #4: cost 36 inf + 1 * * [misc]simplify: Extracting #5: cost 31 inf + 47 * * [misc]simplify: Extracting #6: cost 20 inf + 1797 * * [misc]simplify: Extracting #7: cost 10 inf + 5191 * * [misc]simplify: Extracting #8: cost 4 inf + 8211 * * [misc]simplify: Extracting #9: cost 0 inf + 10827 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 2154 * * [misc]simplify: Extracting #8: cost 2 inf + 6380 * * [misc]simplify: Extracting #9: cost 0 inf + 7748 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 373 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 45 inf + 1 * * [misc]simplify: Extracting #3: cost 48 inf + 1 * * [misc]simplify: Extracting #4: cost 54 inf + 1 * * [misc]simplify: Extracting #5: cost 49 inf + 47 * * [misc]simplify: Extracting #6: cost 40 inf + 1354 * * [misc]simplify: Extracting #7: cost 31 inf + 4265 * * [misc]simplify: Extracting #8: cost 19 inf + 10433 * * [misc]simplify: Extracting #9: cost 0 inf + 20672 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 9 inf + 2960 * * [misc]simplify: Extracting #8: cost 3 inf + 5616 * * [misc]simplify: Extracting #9: cost 0 inf + 7186 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 374 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (301 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 1 * * [misc]simplify: Extracting #3: cost 25 inf + 1 * * [misc]simplify: Extracting #4: cost 31 inf + 1 * * [misc]simplify: Extracting #5: cost 25 inf + 88 * * [misc]simplify: Extracting #6: cost 20 inf + 737 * * [misc]simplify: Extracting #7: cost 14 inf + 1915 * * [misc]simplify: Extracting #8: cost 5 inf + 6108 * * [misc]simplify: Extracting #9: cost 0 inf + 8809 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 5 inf + 4492 * * [misc]simplify: Extracting #8: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 375 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 251 * * [misc]simplify: Extracting #6: cost 7 inf + 979 * * [misc]simplify: Extracting #7: cost 6 inf + 1103 * * [misc]simplify: Extracting #8: cost 0 inf + 3288 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 43 * * [misc]simplify: Extracting #6: cost 9 inf + 816 * * [misc]simplify: Extracting #7: cost 2 inf + 2718 * * [misc]simplify: Extracting #8: cost 0 inf + 3886 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 376 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (301 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 1 * * [misc]simplify: Extracting #3: cost 25 inf + 1 * * [misc]simplify: Extracting #4: cost 31 inf + 1 * * [misc]simplify: Extracting #5: cost 25 inf + 88 * * [misc]simplify: Extracting #6: cost 20 inf + 737 * * [misc]simplify: Extracting #7: cost 14 inf + 1915 * * [misc]simplify: Extracting #8: cost 5 inf + 6108 * * [misc]simplify: Extracting #9: cost 0 inf + 8809 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 5 inf + 4492 * * [misc]simplify: Extracting #8: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 377 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 209 * * [misc]simplify: Extracting #6: cost 7 inf + 979 * * [misc]simplify: Extracting #7: cost 4 inf + 1552 * * [misc]simplify: Extracting #8: cost 0 inf + 3288 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 43 * * [misc]simplify: Extracting #6: cost 9 inf + 816 * * [misc]simplify: Extracting #7: cost 2 inf + 2718 * * [misc]simplify: Extracting #8: cost 0 inf + 3886 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 378 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (301 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 1 * * [misc]simplify: Extracting #3: cost 25 inf + 1 * * [misc]simplify: Extracting #4: cost 31 inf + 1 * * [misc]simplify: Extracting #5: cost 25 inf + 88 * * [misc]simplify: Extracting #6: cost 20 inf + 737 * * [misc]simplify: Extracting #7: cost 14 inf + 1915 * * [misc]simplify: Extracting #8: cost 5 inf + 6108 * * [misc]simplify: Extracting #9: cost 0 inf + 8809 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 5 inf + 4492 * * [misc]simplify: Extracting #8: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 379 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 88 * * [misc]simplify: Extracting #6: cost 6 inf + 1110 * * [misc]simplify: Extracting #7: cost 1 inf + 2804 * * [misc]simplify: Extracting #8: cost 0 inf + 3288 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 43 * * [misc]simplify: Extracting #6: cost 9 inf + 816 * * [misc]simplify: Extracting #7: cost 2 inf + 2718 * * [misc]simplify: Extracting #8: cost 0 inf + 3886 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 380 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (421 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 50 inf + 0 * * [misc]simplify: Extracting #2: cost 56 inf + 0 * * [misc]simplify: Extracting #3: cost 60 inf + 0 * * [misc]simplify: Extracting #4: cost 66 inf + 0 * * [misc]simplify: Extracting #5: cost 60 inf + 87 * * [misc]simplify: Extracting #6: cost 50 inf + 1712 * * [misc]simplify: Extracting #7: cost 46 inf + 3406 * * [misc]simplify: Extracting #8: cost 30 inf + 11820 * * [misc]simplify: Extracting #9: cost 1 inf + 30646 * * [misc]simplify: Extracting #10: cost 0 inf + 31210 * [exit]simplify: Simplified to (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 10 inf + 2556 * * [misc]simplify: Extracting #8: cost 1 inf + 7104 * * [misc]simplify: Extracting #9: cost 0 inf + 7868 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 381 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 36 inf + 0 * * [misc]simplify: Extracting #3: cost 40 inf + 0 * * [misc]simplify: Extracting #4: cost 46 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 87 * * [misc]simplify: Extracting #6: cost 30 inf + 1712 * * [misc]simplify: Extracting #7: cost 20 inf + 5944 * * [misc]simplify: Extracting #8: cost 5 inf + 14394 * * [misc]simplify: Extracting #9: cost 0 inf + 17854 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (* (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (* (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 2396 * * [misc]simplify: Extracting #8: cost 0 inf + 8270 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (* (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 382 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 34 inf + 0 * * [misc]simplify: Extracting #3: cost 38 inf + 0 * * [misc]simplify: Extracting #4: cost 44 inf + 0 * * [misc]simplify: Extracting #5: cost 38 inf + 87 * * [misc]simplify: Extracting #6: cost 32 inf + 864 * * [misc]simplify: Extracting #7: cost 29 inf + 1470 * * [misc]simplify: Extracting #8: cost 22 inf + 4090 * * [misc]simplify: Extracting #9: cost 8 inf + 11820 * * [misc]simplify: Extracting #10: cost 0 inf + 16690 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 10 inf + 2556 * * [misc]simplify: Extracting #8: cost 1 inf + 6984 * * [misc]simplify: Extracting #9: cost 0 inf + 7708 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 383 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 36 inf + 0 * * [misc]simplify: Extracting #5: cost 31 inf + 46 * * [misc]simplify: Extracting #6: cost 24 inf + 898 * * [misc]simplify: Extracting #7: cost 16 inf + 3324 * * [misc]simplify: Extracting #8: cost 2 inf + 10416 * * [misc]simplify: Extracting #9: cost 0 inf + 11784 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 984 * * [misc]simplify: Extracting #8: cost 4 inf + 2154 * * [misc]simplify: Extracting #9: cost 0 inf + 4288 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 384 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (406 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 1 * * [misc]simplify: Extracting #3: cost 24 inf + 1 * * [misc]simplify: Extracting #4: cost 30 inf + 1 * * [misc]simplify: Extracting #5: cost 24 inf + 88 * * [misc]simplify: Extracting #6: cost 20 inf + 417 * * [misc]simplify: Extracting #7: cost 14 inf + 1716 * * [misc]simplify: Extracting #8: cost 9 inf + 3652 * * [misc]simplify: Extracting #9: cost 2 inf + 7076 * * [misc]simplify: Extracting #10: cost 0 inf + 8404 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* d d) (* c c)))) (/ (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* d d) (* c c)))) (/ (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 8 inf + 3122 * * [misc]simplify: Extracting #8: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* d d) (* c c)))) (/ (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 385 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 36 inf + 0 * * [misc]simplify: Extracting #5: cost 31 inf + 46 * * [misc]simplify: Extracting #6: cost 24 inf + 898 * * [misc]simplify: Extracting #7: cost 16 inf + 3324 * * [misc]simplify: Extracting #8: cost 2 inf + 10416 * * [misc]simplify: Extracting #9: cost 0 inf + 11784 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 984 * * [misc]simplify: Extracting #8: cost 4 inf + 2154 * * [misc]simplify: Extracting #9: cost 0 inf + 4288 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 386 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (207 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 33 inf + 0 * * [misc]simplify: Extracting #2: cost 55 inf + 1 * * [misc]simplify: Extracting #3: cost 59 inf + 1 * * [misc]simplify: Extracting #4: cost 65 inf + 1 * * [misc]simplify: Extracting #5: cost 59 inf + 88 * * [misc]simplify: Extracting #6: cost 56 inf + 295 * * [misc]simplify: Extracting #7: cost 28 inf + 7404 * * [misc]simplify: Extracting #8: cost 19 inf + 10478 * * [misc]simplify: Extracting #9: cost 16 inf + 11688 * * [misc]simplify: Extracting #10: cost 3 inf + 18978 * * [misc]simplify: Extracting #11: cost 0 inf + 20550 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 8 inf + 3122 * * [misc]simplify: Extracting #8: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 387 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 36 inf + 0 * * [misc]simplify: Extracting #5: cost 31 inf + 46 * * [misc]simplify: Extracting #6: cost 24 inf + 898 * * [misc]simplify: Extracting #7: cost 16 inf + 3324 * * [misc]simplify: Extracting #8: cost 2 inf + 10416 * * [misc]simplify: Extracting #9: cost 0 inf + 11784 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 984 * * [misc]simplify: Extracting #8: cost 4 inf + 2154 * * [misc]simplify: Extracting #9: cost 0 inf + 4288 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 388 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (442 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 1 * * [misc]simplify: Extracting #3: cost 24 inf + 1 * * [misc]simplify: Extracting #4: cost 30 inf + 1 * * [misc]simplify: Extracting #5: cost 25 inf + 47 * * [misc]simplify: Extracting #6: cost 16 inf + 1227 * * [misc]simplify: Extracting #7: cost 8 inf + 4014 * * [misc]simplify: Extracting #8: cost 0 inf + 8404 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 8 inf + 3122 * * [misc]simplify: Extracting #8: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 389 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (308 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 37 inf + 0 * * [misc]simplify: Extracting #2: cost 47 inf + 1 * * [misc]simplify: Extracting #3: cost 51 inf + 1 * * [misc]simplify: Extracting #4: cost 57 inf + 1 * * [misc]simplify: Extracting #5: cost 51 inf + 88 * * [misc]simplify: Extracting #6: cost 44 inf + 1103 * * [misc]simplify: Extracting #7: cost 34 inf + 4182 * * [misc]simplify: Extracting #8: cost 24 inf + 8494 * * [misc]simplify: Extracting #9: cost 2 inf + 22987 * * [misc]simplify: Extracting #10: cost 0 inf + 24477 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 5 inf + 4652 * * [misc]simplify: Extracting #8: cost 0 inf + 7346 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 390 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 1 * * [misc]simplify: Extracting #3: cost 24 inf + 1 * * [misc]simplify: Extracting #4: cost 30 inf + 1 * * [misc]simplify: Extracting #5: cost 24 inf + 88 * * [misc]simplify: Extracting #6: cost 15 inf + 1554 * * [misc]simplify: Extracting #7: cost 9 inf + 3490 * * [misc]simplify: Extracting #8: cost 7 inf + 4256 * * [misc]simplify: Extracting #9: cost 0 inf + 8402 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 2154 * * [misc]simplify: Extracting #8: cost 2 inf + 6380 * * [misc]simplify: Extracting #9: cost 0 inf + 7748 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 391 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (212 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 1 * * [misc]simplify: Extracting #3: cost 21 inf + 1 * * [misc]simplify: Extracting #4: cost 27 inf + 1 * * [misc]simplify: Extracting #5: cost 21 inf + 88 * * [misc]simplify: Extracting #6: cost 12 inf + 1554 * * [misc]simplify: Extracting #7: cost 9 inf + 2804 * * [misc]simplify: Extracting #8: cost 1 inf + 6632 * * [misc]simplify: Extracting #9: cost 0 inf + 7236 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 9 inf + 2960 * * [misc]simplify: Extracting #8: cost 3 inf + 5616 * * [misc]simplify: Extracting #9: cost 0 inf + 7186 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 392 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 20 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 1 * * [misc]simplify: Extracting #3: cost 29 inf + 1 * * [misc]simplify: Extracting #4: cost 35 inf + 1 * * [misc]simplify: Extracting #5: cost 29 inf + 88 * * [misc]simplify: Extracting #6: cost 24 inf + 621 * * [misc]simplify: Extracting #7: cost 16 inf + 2449 * * [misc]simplify: Extracting #8: cost 6 inf + 6801 * * [misc]simplify: Extracting #9: cost 0 inf + 10105 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 5 inf + 4492 * * [misc]simplify: Extracting #8: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 393 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 251 * * [misc]simplify: Extracting #6: cost 6 inf + 1103 * * [misc]simplify: Extracting #7: cost 1 inf + 2764 * * [misc]simplify: Extracting #8: cost 0 inf + 3288 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 43 * * [misc]simplify: Extracting #6: cost 9 inf + 816 * * [misc]simplify: Extracting #7: cost 2 inf + 2718 * * [misc]simplify: Extracting #8: cost 0 inf + 3886 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 394 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 20 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 1 * * [misc]simplify: Extracting #3: cost 29 inf + 1 * * [misc]simplify: Extracting #4: cost 35 inf + 1 * * [misc]simplify: Extracting #5: cost 29 inf + 88 * * [misc]simplify: Extracting #6: cost 24 inf + 621 * * [misc]simplify: Extracting #7: cost 16 inf + 2449 * * [misc]simplify: Extracting #8: cost 6 inf + 6801 * * [misc]simplify: Extracting #9: cost 0 inf + 10105 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 5 inf + 4492 * * [misc]simplify: Extracting #8: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 395 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 46 * * [misc]simplify: Extracting #6: cost 10 inf + 293 * * [misc]simplify: Extracting #7: cost 3 inf + 1796 * * [misc]simplify: Extracting #8: cost 0 inf + 3288 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 43 * * [misc]simplify: Extracting #6: cost 9 inf + 816 * * [misc]simplify: Extracting #7: cost 2 inf + 2718 * * [misc]simplify: Extracting #8: cost 0 inf + 3886 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 396 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 20 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 1 * * [misc]simplify: Extracting #3: cost 29 inf + 1 * * [misc]simplify: Extracting #4: cost 35 inf + 1 * * [misc]simplify: Extracting #5: cost 29 inf + 88 * * [misc]simplify: Extracting #6: cost 24 inf + 621 * * [misc]simplify: Extracting #7: cost 16 inf + 2449 * * [misc]simplify: Extracting #8: cost 6 inf + 6801 * * [misc]simplify: Extracting #9: cost 0 inf + 10105 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 5 inf + 4492 * * [misc]simplify: Extracting #8: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 397 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 88 * * [misc]simplify: Extracting #6: cost 8 inf + 621 * * [misc]simplify: Extracting #7: cost 1 inf + 2764 * * [misc]simplify: Extracting #8: cost 0 inf + 3288 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 43 * * [misc]simplify: Extracting #6: cost 9 inf + 816 * * [misc]simplify: Extracting #7: cost 2 inf + 2718 * * [misc]simplify: Extracting #8: cost 0 inf + 3886 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 398 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 58 inf + 0 * * [misc]simplify: Extracting #2: cost 88 inf + 0 * * [misc]simplify: Extracting #3: cost 90 inf + 2 * * [misc]simplify: Extracting #4: cost 94 inf + 2 * * [misc]simplify: Extracting #5: cost 84 inf + 703 * * [misc]simplify: Extracting #6: cost 77 inf + 2602 * * [misc]simplify: Extracting #7: cost 45 inf + 17512 * * [misc]simplify: Extracting #8: cost 5 inf + 39942 * * [misc]simplify: Extracting #9: cost 0 inf + 42880 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 782 * * [misc]simplify: Extracting #8: cost 4 inf + 2274 * * [misc]simplify: Extracting #9: cost 0 inf + 4046 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 399 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * * [misc]simplify: iters left: 1 (431 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 51 inf + 0 * * [misc]simplify: Extracting #2: cost 56 inf + 0 * * [misc]simplify: Extracting #3: cost 59 inf + 0 * * [misc]simplify: Extracting #4: cost 65 inf + 0 * * [misc]simplify: Extracting #5: cost 59 inf + 87 * * [misc]simplify: Extracting #6: cost 45 inf + 3646 * * [misc]simplify: Extracting #7: cost 20 inf + 17296 * * [misc]simplify: Extracting #8: cost 0 inf + 30448 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1670 * * [misc]simplify: Extracting #8: cost 5 inf + 4650 * * [misc]simplify: Extracting #9: cost 0 inf + 7466 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))))) * * * * [misc]progress: [ 400 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (431 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 54 inf + 0 * * [misc]simplify: Extracting #2: cost 58 inf + 0 * * [misc]simplify: Extracting #3: cost 63 inf + 0 * * [misc]simplify: Extracting #4: cost 69 inf + 0 * * [misc]simplify: Extracting #5: cost 63 inf + 87 * * [misc]simplify: Extracting #6: cost 53 inf + 1832 * * [misc]simplify: Extracting #7: cost 34 inf + 11260 * * [misc]simplify: Extracting #8: cost 13 inf + 24052 * * [misc]simplify: Extracting #9: cost 0 inf + 33942 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1630 * * [misc]simplify: Extracting #8: cost 8 inf + 3564 * * [misc]simplify: Extracting #9: cost 1 inf + 7144 * * [misc]simplify: Extracting #10: cost 0 inf + 7908 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 401 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 53 inf + 0 * * [misc]simplify: Extracting #2: cost 56 inf + 0 * * [misc]simplify: Extracting #3: cost 59 inf + 0 * * [misc]simplify: Extracting #4: cost 65 inf + 0 * * [misc]simplify: Extracting #5: cost 59 inf + 87 * * [misc]simplify: Extracting #6: cost 46 inf + 3242 * * [misc]simplify: Extracting #7: cost 15 inf + 19392 * * [misc]simplify: Extracting #8: cost 0 inf + 28972 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 9 inf + 2678 * * [misc]simplify: Extracting #8: cost 0 inf + 6664 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 402 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (351 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 71 inf + 0 * * [misc]simplify: Extracting #2: cost 189 inf + 1 * * [misc]simplify: Extracting #3: cost 198 inf + 1 * * [misc]simplify: Extracting #4: cost 204 inf + 1 * * [misc]simplify: Extracting #5: cost 180 inf + 4073 * * [misc]simplify: Extracting #6: cost 81 inf + 45368 * * [misc]simplify: Extracting #7: cost 16 inf + 81868 * * [misc]simplify: Extracting #8: cost 0 inf + 91495 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 782 * * [misc]simplify: Extracting #7: cost 2 inf + 3564 * * [misc]simplify: Extracting #8: cost 0 inf + 4410 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 403 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 53 inf + 0 * * [misc]simplify: Extracting #2: cost 56 inf + 0 * * [misc]simplify: Extracting #3: cost 59 inf + 0 * * [misc]simplify: Extracting #4: cost 65 inf + 0 * * [misc]simplify: Extracting #5: cost 59 inf + 87 * * [misc]simplify: Extracting #6: cost 46 inf + 3242 * * [misc]simplify: Extracting #7: cost 15 inf + 19392 * * [misc]simplify: Extracting #8: cost 0 inf + 28972 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 9 inf + 2678 * * [misc]simplify: Extracting #8: cost 0 inf + 6664 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 404 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (401 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 94 inf + 0 * * [misc]simplify: Extracting #2: cost 245 inf + 1 * * [misc]simplify: Extracting #3: cost 261 inf + 1 * * [misc]simplify: Extracting #4: cost 267 inf + 1 * * [misc]simplify: Extracting #5: cost 224 inf + 10673 * * [misc]simplify: Extracting #6: cost 97 inf + 67122 * * [misc]simplify: Extracting #7: cost 4 inf + 120258 * * [misc]simplify: Extracting #8: cost 0 inf + 122714 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 782 * * [misc]simplify: Extracting #7: cost 2 inf + 3564 * * [misc]simplify: Extracting #8: cost 0 inf + 4410 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 405 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 53 inf + 0 * * [misc]simplify: Extracting #2: cost 56 inf + 0 * * [misc]simplify: Extracting #3: cost 59 inf + 0 * * [misc]simplify: Extracting #4: cost 65 inf + 0 * * [misc]simplify: Extracting #5: cost 59 inf + 87 * * [misc]simplify: Extracting #6: cost 46 inf + 3242 * * [misc]simplify: Extracting #7: cost 15 inf + 19392 * * [misc]simplify: Extracting #8: cost 0 inf + 28972 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 9 inf + 2678 * * [misc]simplify: Extracting #8: cost 0 inf + 6664 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 406 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 72 inf + 0 * * [misc]simplify: Extracting #2: cost 205 inf + 1 * * [misc]simplify: Extracting #3: cost 212 inf + 1 * * [misc]simplify: Extracting #4: cost 218 inf + 1 * * [misc]simplify: Extracting #5: cost 185 inf + 5922 * * [misc]simplify: Extracting #6: cost 148 inf + 17600 * * [misc]simplify: Extracting #7: cost 98 inf + 43116 * * [misc]simplify: Extracting #8: cost 12 inf + 91341 * * [misc]simplify: Extracting #9: cost 0 inf + 98632 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 782 * * [misc]simplify: Extracting #7: cost 2 inf + 3564 * * [misc]simplify: Extracting #8: cost 0 inf + 4410 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 407 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 52 inf + 0 * * [misc]simplify: Extracting #2: cost 57 inf + 0 * * [misc]simplify: Extracting #3: cost 60 inf + 0 * * [misc]simplify: Extracting #4: cost 66 inf + 0 * * [misc]simplify: Extracting #5: cost 61 inf + 46 * * [misc]simplify: Extracting #6: cost 55 inf + 742 * * [misc]simplify: Extracting #7: cost 45 inf + 4252 * * [misc]simplify: Extracting #8: cost 20 inf + 18542 * * [misc]simplify: Extracting #9: cost 1 inf + 30288 * * [misc]simplify: Extracting #10: cost 0 inf + 31052 * [exit]simplify: Simplified to (* (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1428 * * [misc]simplify: Extracting #8: cost 4 inf + 5494 * * [misc]simplify: Extracting #9: cost 0 inf + 7466 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 408 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 33 inf + 0 * * [misc]simplify: Extracting #2: cost 38 inf + 0 * * [misc]simplify: Extracting #3: cost 41 inf + 0 * * [misc]simplify: Extracting #4: cost 47 inf + 0 * * [misc]simplify: Extracting #5: cost 41 inf + 87 * * [misc]simplify: Extracting #6: cost 28 inf + 3042 * * [misc]simplify: Extracting #7: cost 2 inf + 16740 * * [misc]simplify: Extracting #8: cost 0 inf + 17988 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 782 * * [misc]simplify: Extracting #8: cost 4 inf + 1952 * * [misc]simplify: Extracting #9: cost 0 inf + 4006 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 409 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 35 inf + 0 * * [misc]simplify: Extracting #3: cost 40 inf + 0 * * [misc]simplify: Extracting #4: cost 46 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 87 * * [misc]simplify: Extracting #6: cost 30 inf + 1672 * * [misc]simplify: Extracting #7: cost 24 inf + 3810 * * [misc]simplify: Extracting #8: cost 6 inf + 13912 * * [misc]simplify: Extracting #9: cost 0 inf + 17894 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 498 * * [misc]simplify: Extracting #7: cost 14 inf + 1630 * * [misc]simplify: Extracting #8: cost 8 inf + 3886 * * [misc]simplify: Extracting #9: cost 0 inf + 8310 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 410 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 34 inf + 0 * * [misc]simplify: Extracting #3: cost 37 inf + 0 * * [misc]simplify: Extracting #4: cost 43 inf + 0 * * [misc]simplify: Extracting #5: cost 37 inf + 87 * * [misc]simplify: Extracting #6: cost 29 inf + 1228 * * [misc]simplify: Extracting #7: cost 10 inf + 9690 * * [misc]simplify: Extracting #8: cost 0 inf + 15768 * [exit]simplify: Simplified to (/ (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1428 * * [misc]simplify: Extracting #8: cost 4 inf + 5294 * * [misc]simplify: Extracting #9: cost 0 inf + 7146 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 411 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (311 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 29 inf + 0 * * [misc]simplify: Extracting #2: cost 41 inf + 1 * * [misc]simplify: Extracting #3: cost 44 inf + 1 * * [misc]simplify: Extracting #4: cost 50 inf + 1 * * [misc]simplify: Extracting #5: cost 44 inf + 88 * * [misc]simplify: Extracting #6: cost 35 inf + 1587 * * [misc]simplify: Extracting #7: cost 9 inf + 12177 * * [misc]simplify: Extracting #8: cost 0 inf + 17136 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 454 * * [misc]simplify: Extracting #7: cost 5 inf + 2356 * * [misc]simplify: Extracting #8: cost 0 inf + 4732 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 412 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 34 inf + 0 * * [misc]simplify: Extracting #3: cost 37 inf + 0 * * [misc]simplify: Extracting #4: cost 43 inf + 0 * * [misc]simplify: Extracting #5: cost 37 inf + 87 * * [misc]simplify: Extracting #6: cost 29 inf + 1228 * * [misc]simplify: Extracting #7: cost 10 inf + 9690 * * [misc]simplify: Extracting #8: cost 0 inf + 15768 * [exit]simplify: Simplified to (/ (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1428 * * [misc]simplify: Extracting #8: cost 4 inf + 5294 * * [misc]simplify: Extracting #9: cost 0 inf + 7146 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 413 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (310 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 41 inf + 1 * * [misc]simplify: Extracting #3: cost 44 inf + 1 * * [misc]simplify: Extracting #4: cost 50 inf + 1 * * [misc]simplify: Extracting #5: cost 44 inf + 88 * * [misc]simplify: Extracting #6: cost 36 inf + 1385 * * [misc]simplify: Extracting #7: cost 14 inf + 9719 * * [misc]simplify: Extracting #8: cost 1 inf + 16532 * * [misc]simplify: Extracting #9: cost 0 inf + 17136 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 454 * * [misc]simplify: Extracting #7: cost 5 inf + 2356 * * [misc]simplify: Extracting #8: cost 0 inf + 4732 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 414 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 34 inf + 0 * * [misc]simplify: Extracting #3: cost 37 inf + 0 * * [misc]simplify: Extracting #4: cost 43 inf + 0 * * [misc]simplify: Extracting #5: cost 37 inf + 87 * * [misc]simplify: Extracting #6: cost 29 inf + 1228 * * [misc]simplify: Extracting #7: cost 10 inf + 9690 * * [misc]simplify: Extracting #8: cost 0 inf + 15768 * [exit]simplify: Simplified to (/ (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1428 * * [misc]simplify: Extracting #8: cost 4 inf + 5294 * * [misc]simplify: Extracting #9: cost 0 inf + 7146 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 415 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (315 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 1 * * [misc]simplify: Extracting #3: cost 23 inf + 1 * * [misc]simplify: Extracting #4: cost 29 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 88 * * [misc]simplify: Extracting #6: cost 17 inf + 783 * * [misc]simplify: Extracting #7: cost 6 inf + 4980 * * [misc]simplify: Extracting #8: cost 0 inf + 8082 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 454 * * [misc]simplify: Extracting #7: cost 5 inf + 2356 * * [misc]simplify: Extracting #8: cost 0 inf + 4732 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 416 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (421 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 50 inf + 0 * * [misc]simplify: Extracting #2: cost 54 inf + 0 * * [misc]simplify: Extracting #3: cost 59 inf + 0 * * [misc]simplify: Extracting #4: cost 65 inf + 0 * * [misc]simplify: Extracting #5: cost 59 inf + 87 * * [misc]simplify: Extracting #6: cost 48 inf + 1914 * * [misc]simplify: Extracting #7: cost 22 inf + 16322 * * [misc]simplify: Extracting #8: cost 0 inf + 30726 * [exit]simplify: Simplified to (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 10 inf + 2556 * * [misc]simplify: Extracting #8: cost 1 inf + 7144 * * [misc]simplify: Extracting #9: cost 0 inf + 7908 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 417 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 35 inf + 0 * * [misc]simplify: Extracting #3: cost 40 inf + 0 * * [misc]simplify: Extracting #4: cost 46 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 87 * * [misc]simplify: Extracting #6: cost 33 inf + 1022 * * [misc]simplify: Extracting #7: cost 23 inf + 4574 * * [misc]simplify: Extracting #8: cost 16 inf + 7918 * * [misc]simplify: Extracting #9: cost 6 inf + 13510 * * [misc]simplify: Extracting #10: cost 0 inf + 17894 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (* (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (* (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 2154 * * [misc]simplify: Extracting #8: cost 8 inf + 3966 * * [misc]simplify: Extracting #9: cost 0 inf + 8310 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (* (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 418 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 36 inf + 0 * * [misc]simplify: Extracting #5: cost 31 inf + 46 * * [misc]simplify: Extracting #6: cost 16 inf + 3406 * * [misc]simplify: Extracting #7: cost 2 inf + 10576 * * [misc]simplify: Extracting #8: cost 0 inf + 11944 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 984 * * [misc]simplify: Extracting #8: cost 4 inf + 2154 * * [misc]simplify: Extracting #9: cost 0 inf + 4328 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 419 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 33 inf + 0 * * [misc]simplify: Extracting #3: cost 38 inf + 0 * * [misc]simplify: Extracting #4: cost 44 inf + 0 * * [misc]simplify: Extracting #5: cost 38 inf + 87 * * [misc]simplify: Extracting #6: cost 27 inf + 1914 * * [misc]simplify: Extracting #7: cost 18 inf + 5662 * * [misc]simplify: Extracting #8: cost 0 inf + 16410 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 10 inf + 2556 * * [misc]simplify: Extracting #8: cost 1 inf + 6864 * * [misc]simplify: Extracting #9: cost 0 inf + 7588 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 420 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (207 enodes) * * [misc]simplify: iters left: 1 (368 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 1 * * [misc]simplify: Extracting #3: cost 27 inf + 1 * * [misc]simplify: Extracting #4: cost 33 inf + 1 * * [misc]simplify: Extracting #5: cost 27 inf + 88 * * [misc]simplify: Extracting #6: cost 18 inf + 1467 * * [misc]simplify: Extracting #7: cost 5 inf + 7478 * * [misc]simplify: Extracting #8: cost 0 inf + 9938 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 45 * * [misc]simplify: Extracting #6: cost 11 inf + 898 * * [misc]simplify: Extracting #7: cost 5 inf + 2516 * * [misc]simplify: Extracting #8: cost 0 inf + 5094 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 421 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 33 inf + 0 * * [misc]simplify: Extracting #3: cost 38 inf + 0 * * [misc]simplify: Extracting #4: cost 44 inf + 0 * * [misc]simplify: Extracting #5: cost 38 inf + 87 * * [misc]simplify: Extracting #6: cost 27 inf + 1914 * * [misc]simplify: Extracting #7: cost 18 inf + 5662 * * [misc]simplify: Extracting #8: cost 0 inf + 16410 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 10 inf + 2556 * * [misc]simplify: Extracting #8: cost 1 inf + 6864 * * [misc]simplify: Extracting #9: cost 0 inf + 7588 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 422 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (421 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 44 inf + 0 * * [misc]simplify: Extracting #2: cost 68 inf + 1 * * [misc]simplify: Extracting #3: cost 73 inf + 1 * * [misc]simplify: Extracting #4: cost 79 inf + 1 * * [misc]simplify: Extracting #5: cost 74 inf + 47 * * [misc]simplify: Extracting #6: cost 68 inf + 619 * * [misc]simplify: Extracting #7: cost 50 inf + 4849 * * [misc]simplify: Extracting #8: cost 21 inf + 17530 * * [misc]simplify: Extracting #9: cost 2 inf + 28644 * * [misc]simplify: Extracting #10: cost 0 inf + 29973 * [exit]simplify: Simplified to (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 45 * * [misc]simplify: Extracting #6: cost 11 inf + 898 * * [misc]simplify: Extracting #7: cost 5 inf + 2516 * * [misc]simplify: Extracting #8: cost 0 inf + 5094 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 423 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 33 inf + 0 * * [misc]simplify: Extracting #3: cost 38 inf + 0 * * [misc]simplify: Extracting #4: cost 44 inf + 0 * * [misc]simplify: Extracting #5: cost 38 inf + 87 * * [misc]simplify: Extracting #6: cost 27 inf + 1914 * * [misc]simplify: Extracting #7: cost 18 inf + 5662 * * [misc]simplify: Extracting #8: cost 0 inf + 16410 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 10 inf + 2556 * * [misc]simplify: Extracting #8: cost 1 inf + 6864 * * [misc]simplify: Extracting #9: cost 0 inf + 7588 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 424 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (205 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 1 * * [misc]simplify: Extracting #3: cost 23 inf + 1 * * [misc]simplify: Extracting #4: cost 29 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 88 * * [misc]simplify: Extracting #6: cost 13 inf + 1751 * * [misc]simplify: Extracting #7: cost 2 inf + 6712 * * [misc]simplify: Extracting #8: cost 0 inf + 7800 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 45 * * [misc]simplify: Extracting #6: cost 11 inf + 898 * * [misc]simplify: Extracting #7: cost 5 inf + 2516 * * [misc]simplify: Extracting #8: cost 0 inf + 5094 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 425 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 52 inf + 0 * * [misc]simplify: Extracting #2: cost 55 inf + 0 * * [misc]simplify: Extracting #3: cost 58 inf + 0 * * [misc]simplify: Extracting #4: cost 64 inf + 0 * * [misc]simplify: Extracting #5: cost 58 inf + 87 * * [misc]simplify: Extracting #6: cost 44 inf + 3564 * * [misc]simplify: Extracting #7: cost 7 inf + 23900 * * [misc]simplify: Extracting #8: cost 0 inf + 28328 * * [misc]simplify: Extracting #9: cost 0 inf + 28288 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 9 inf + 2798 * * [misc]simplify: Extracting #8: cost 0 inf + 6664 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 426 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 34 inf + 0 * * [misc]simplify: Extracting #3: cost 37 inf + 0 * * [misc]simplify: Extracting #4: cost 43 inf + 0 * * [misc]simplify: Extracting #5: cost 37 inf + 87 * * [misc]simplify: Extracting #6: cost 28 inf + 1470 * * [misc]simplify: Extracting #7: cost 6 inf + 12186 * * [misc]simplify: Extracting #8: cost 0 inf + 15768 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1670 * * [misc]simplify: Extracting #8: cost 5 inf + 4450 * * [misc]simplify: Extracting #9: cost 0 inf + 7146 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))))) * * * * [misc]progress: [ 427 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 33 inf + 0 * * [misc]simplify: Extracting #3: cost 38 inf + 0 * * [misc]simplify: Extracting #4: cost 44 inf + 0 * * [misc]simplify: Extracting #5: cost 38 inf + 87 * * [misc]simplify: Extracting #6: cost 29 inf + 1430 * * [misc]simplify: Extracting #7: cost 10 inf + 10534 * * [misc]simplify: Extracting #8: cost 0 inf + 16410 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1630 * * [misc]simplify: Extracting #8: cost 8 inf + 3404 * * [misc]simplify: Extracting #9: cost 1 inf + 6864 * * [misc]simplify: Extracting #10: cost 0 inf + 7588 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 428 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 2 * * [misc]simplify: Extracting #4: cost 28 inf + 2 * * [misc]simplify: Extracting #5: cost 22 inf + 89 * * [misc]simplify: Extracting #6: cost 16 inf + 866 * * [misc]simplify: Extracting #7: cost 11 inf + 2482 * * [misc]simplify: Extracting #8: cost 5 inf + 5104 * * [misc]simplify: Extracting #9: cost 0 inf + 7482 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 783 * * [misc]simplify: Extracting #8: cost 3 inf + 2195 * * [misc]simplify: Extracting #9: cost 0 inf + 3445 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 429 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (418 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 1 * * [misc]simplify: Extracting #3: cost 25 inf + 1 * * [misc]simplify: Extracting #4: cost 31 inf + 1 * * [misc]simplify: Extracting #5: cost 25 inf + 88 * * [misc]simplify: Extracting #6: cost 19 inf + 783 * * [misc]simplify: Extracting #7: cost 13 inf + 2846 * * [misc]simplify: Extracting #8: cost 7 inf + 5387 * * [misc]simplify: Extracting #9: cost 0 inf + 9096 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 782 * * [misc]simplify: Extracting #7: cost 2 inf + 3404 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 430 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 2 * * [misc]simplify: Extracting #4: cost 28 inf + 2 * * [misc]simplify: Extracting #5: cost 22 inf + 89 * * [misc]simplify: Extracting #6: cost 16 inf + 866 * * [misc]simplify: Extracting #7: cost 11 inf + 2482 * * [misc]simplify: Extracting #8: cost 5 inf + 5104 * * [misc]simplify: Extracting #9: cost 0 inf + 7482 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 783 * * [misc]simplify: Extracting #8: cost 3 inf + 2195 * * [misc]simplify: Extracting #9: cost 0 inf + 3445 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 431 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (400 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 23 inf + 1 * * [misc]simplify: Extracting #3: cost 26 inf + 1 * * [misc]simplify: Extracting #4: cost 32 inf + 1 * * [misc]simplify: Extracting #5: cost 25 inf + 129 * * [misc]simplify: Extracting #6: cost 20 inf + 781 * * [misc]simplify: Extracting #7: cost 6 inf + 5914 * * [misc]simplify: Extracting #8: cost 0 inf + 9059 * [exit]simplify: Simplified to (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 782 * * [misc]simplify: Extracting #7: cost 2 inf + 3404 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 432 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 2 * * [misc]simplify: Extracting #4: cost 28 inf + 2 * * [misc]simplify: Extracting #5: cost 22 inf + 89 * * [misc]simplify: Extracting #6: cost 16 inf + 866 * * [misc]simplify: Extracting #7: cost 11 inf + 2482 * * [misc]simplify: Extracting #8: cost 5 inf + 5104 * * [misc]simplify: Extracting #9: cost 0 inf + 7482 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 783 * * [misc]simplify: Extracting #8: cost 3 inf + 2195 * * [misc]simplify: Extracting #9: cost 0 inf + 3445 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 433 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (431 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 1 * * [misc]simplify: Extracting #3: cost 24 inf + 1 * * [misc]simplify: Extracting #4: cost 30 inf + 1 * * [misc]simplify: Extracting #5: cost 24 inf + 88 * * [misc]simplify: Extracting #6: cost 19 inf + 579 * * [misc]simplify: Extracting #7: cost 13 inf + 2200 * * [misc]simplify: Extracting #8: cost 0 inf + 8572 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 782 * * [misc]simplify: Extracting #7: cost 2 inf + 3404 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 434 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 64 inf + 0 * * [misc]simplify: Extracting #2: cost 178 inf + 1 * * [misc]simplify: Extracting #3: cost 184 inf + 1 * * [misc]simplify: Extracting #4: cost 190 inf + 1 * * [misc]simplify: Extracting #5: cost 179 inf + 579 * * [misc]simplify: Extracting #6: cost 99 inf + 32475 * * [misc]simplify: Extracting #7: cost 4 inf + 82858 * * [misc]simplify: Extracting #8: cost 0 inf + 85436 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1710 * * [misc]simplify: Extracting #8: cost 0 inf + 4410 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 435 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (240 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 33 inf + 1 * * [misc]simplify: Extracting #3: cost 36 inf + 1 * * [misc]simplify: Extracting #4: cost 42 inf + 1 * * [misc]simplify: Extracting #5: cost 37 inf + 47 * * [misc]simplify: Extracting #6: cost 32 inf + 417 * * [misc]simplify: Extracting #7: cost 24 inf + 2407 * * [misc]simplify: Extracting #8: cost 9 inf + 9424 * * [misc]simplify: Extracting #9: cost 1 inf + 13695 * * [misc]simplify: Extracting #10: cost 0 inf + 14300 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 1024 * * [misc]simplify: Extracting #7: cost 3 inf + 3322 * * [misc]simplify: Extracting #8: cost 0 inf + 4732 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 436 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (285 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 32 inf + 1 * * [misc]simplify: Extracting #3: cost 37 inf + 1 * * [misc]simplify: Extracting #4: cost 43 inf + 1 * * [misc]simplify: Extracting #5: cost 38 inf + 47 * * [misc]simplify: Extracting #6: cost 29 inf + 1477 * * [misc]simplify: Extracting #7: cost 27 inf + 1761 * * [misc]simplify: Extracting #8: cost 14 inf + 7043 * * [misc]simplify: Extracting #9: cost 0 inf + 14699 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (/ (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 170 * * [misc]simplify: Extracting #7: cost 11 inf + 822 * * [misc]simplify: Extracting #8: cost 6 inf + 2276 * * [misc]simplify: Extracting #9: cost 0 inf + 5094 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 437 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (338 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 1 * * [misc]simplify: Extracting #3: cost 25 inf + 1 * * [misc]simplify: Extracting #4: cost 31 inf + 1 * * [misc]simplify: Extracting #5: cost 26 inf + 47 * * [misc]simplify: Extracting #6: cost 18 inf + 1028 * * [misc]simplify: Extracting #7: cost 13 inf + 2968 * * [misc]simplify: Extracting #8: cost 1 inf + 8495 * * [misc]simplify: Extracting #9: cost 0 inf + 8979 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1670 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 438 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 46 * * [misc]simplify: Extracting #6: cost 9 inf + 293 * * [misc]simplify: Extracting #7: cost 5 inf + 985 * * [misc]simplify: Extracting #8: cost 0 inf + 2846 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1912 * * [misc]simplify: Extracting #8: cost 0 inf + 2316 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 439 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (338 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 1 * * [misc]simplify: Extracting #3: cost 25 inf + 1 * * [misc]simplify: Extracting #4: cost 31 inf + 1 * * [misc]simplify: Extracting #5: cost 26 inf + 47 * * [misc]simplify: Extracting #6: cost 18 inf + 1028 * * [misc]simplify: Extracting #7: cost 13 inf + 2968 * * [misc]simplify: Extracting #8: cost 1 inf + 8495 * * [misc]simplify: Extracting #9: cost 0 inf + 8979 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1670 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 440 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 46 * * [misc]simplify: Extracting #6: cost 9 inf + 293 * * [misc]simplify: Extracting #7: cost 5 inf + 985 * * [misc]simplify: Extracting #8: cost 0 inf + 2846 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1912 * * [misc]simplify: Extracting #8: cost 0 inf + 2316 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 441 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (338 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 1 * * [misc]simplify: Extracting #3: cost 25 inf + 1 * * [misc]simplify: Extracting #4: cost 31 inf + 1 * * [misc]simplify: Extracting #5: cost 26 inf + 47 * * [misc]simplify: Extracting #6: cost 18 inf + 1028 * * [misc]simplify: Extracting #7: cost 13 inf + 2968 * * [misc]simplify: Extracting #8: cost 1 inf + 8495 * * [misc]simplify: Extracting #9: cost 0 inf + 8979 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1670 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 442 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 88 * * [misc]simplify: Extracting #6: cost 7 inf + 621 * * [misc]simplify: Extracting #7: cost 1 inf + 2362 * * [misc]simplify: Extracting #8: cost 0 inf + 2846 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1912 * * [misc]simplify: Extracting #8: cost 0 inf + 2316 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 443 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 52 inf + 0 * * [misc]simplify: Extracting #2: cost 55 inf + 0 * * [misc]simplify: Extracting #3: cost 58 inf + 0 * * [misc]simplify: Extracting #4: cost 64 inf + 0 * * [misc]simplify: Extracting #5: cost 58 inf + 87 * * [misc]simplify: Extracting #6: cost 44 inf + 3564 * * [misc]simplify: Extracting #7: cost 7 inf + 23900 * * [misc]simplify: Extracting #8: cost 0 inf + 28328 * * [misc]simplify: Extracting #9: cost 0 inf + 28288 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 9 inf + 2798 * * [misc]simplify: Extracting #8: cost 0 inf + 6664 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 444 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 34 inf + 0 * * [misc]simplify: Extracting #3: cost 37 inf + 0 * * [misc]simplify: Extracting #4: cost 43 inf + 0 * * [misc]simplify: Extracting #5: cost 37 inf + 87 * * [misc]simplify: Extracting #6: cost 28 inf + 1470 * * [misc]simplify: Extracting #7: cost 6 inf + 12186 * * [misc]simplify: Extracting #8: cost 0 inf + 15768 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1670 * * [misc]simplify: Extracting #8: cost 5 inf + 4450 * * [misc]simplify: Extracting #9: cost 0 inf + 7146 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))))) * * * * [misc]progress: [ 445 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 33 inf + 0 * * [misc]simplify: Extracting #3: cost 38 inf + 0 * * [misc]simplify: Extracting #4: cost 44 inf + 0 * * [misc]simplify: Extracting #5: cost 38 inf + 87 * * [misc]simplify: Extracting #6: cost 29 inf + 1430 * * [misc]simplify: Extracting #7: cost 10 inf + 10534 * * [misc]simplify: Extracting #8: cost 0 inf + 16410 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1630 * * [misc]simplify: Extracting #8: cost 8 inf + 3404 * * [misc]simplify: Extracting #9: cost 1 inf + 6864 * * [misc]simplify: Extracting #10: cost 0 inf + 7588 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 446 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 2 * * [misc]simplify: Extracting #4: cost 28 inf + 2 * * [misc]simplify: Extracting #5: cost 22 inf + 89 * * [misc]simplify: Extracting #6: cost 16 inf + 866 * * [misc]simplify: Extracting #7: cost 11 inf + 2482 * * [misc]simplify: Extracting #8: cost 5 inf + 5104 * * [misc]simplify: Extracting #9: cost 0 inf + 7482 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 783 * * [misc]simplify: Extracting #8: cost 3 inf + 2195 * * [misc]simplify: Extracting #9: cost 0 inf + 3445 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 447 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (418 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 1 * * [misc]simplify: Extracting #3: cost 25 inf + 1 * * [misc]simplify: Extracting #4: cost 31 inf + 1 * * [misc]simplify: Extracting #5: cost 25 inf + 88 * * [misc]simplify: Extracting #6: cost 19 inf + 783 * * [misc]simplify: Extracting #7: cost 13 inf + 2846 * * [misc]simplify: Extracting #8: cost 7 inf + 5387 * * [misc]simplify: Extracting #9: cost 0 inf + 9096 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 782 * * [misc]simplify: Extracting #7: cost 2 inf + 3404 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 448 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 2 * * [misc]simplify: Extracting #4: cost 28 inf + 2 * * [misc]simplify: Extracting #5: cost 22 inf + 89 * * [misc]simplify: Extracting #6: cost 16 inf + 866 * * [misc]simplify: Extracting #7: cost 11 inf + 2482 * * [misc]simplify: Extracting #8: cost 5 inf + 5104 * * [misc]simplify: Extracting #9: cost 0 inf + 7482 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 783 * * [misc]simplify: Extracting #8: cost 3 inf + 2195 * * [misc]simplify: Extracting #9: cost 0 inf + 3445 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 449 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (400 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 23 inf + 1 * * [misc]simplify: Extracting #3: cost 26 inf + 1 * * [misc]simplify: Extracting #4: cost 32 inf + 1 * * [misc]simplify: Extracting #5: cost 25 inf + 129 * * [misc]simplify: Extracting #6: cost 20 inf + 781 * * [misc]simplify: Extracting #7: cost 6 inf + 5914 * * [misc]simplify: Extracting #8: cost 0 inf + 9059 * [exit]simplify: Simplified to (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 782 * * [misc]simplify: Extracting #7: cost 2 inf + 3404 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 450 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 2 * * [misc]simplify: Extracting #4: cost 28 inf + 2 * * [misc]simplify: Extracting #5: cost 22 inf + 89 * * [misc]simplify: Extracting #6: cost 16 inf + 866 * * [misc]simplify: Extracting #7: cost 11 inf + 2482 * * [misc]simplify: Extracting #8: cost 5 inf + 5104 * * [misc]simplify: Extracting #9: cost 0 inf + 7482 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 783 * * [misc]simplify: Extracting #8: cost 3 inf + 2195 * * [misc]simplify: Extracting #9: cost 0 inf + 3445 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 451 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (431 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 1 * * [misc]simplify: Extracting #3: cost 24 inf + 1 * * [misc]simplify: Extracting #4: cost 30 inf + 1 * * [misc]simplify: Extracting #5: cost 24 inf + 88 * * [misc]simplify: Extracting #6: cost 19 inf + 579 * * [misc]simplify: Extracting #7: cost 13 inf + 2200 * * [misc]simplify: Extracting #8: cost 0 inf + 8572 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 782 * * [misc]simplify: Extracting #7: cost 2 inf + 3404 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 452 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 97 inf + 0 * * [misc]simplify: Extracting #2: cost 198 inf + 1 * * [misc]simplify: Extracting #3: cost 212 inf + 1 * * [misc]simplify: Extracting #4: cost 218 inf + 1 * * [misc]simplify: Extracting #5: cost 204 inf + 1478 * * [misc]simplify: Extracting #6: cost 170 inf + 9630 * * [misc]simplify: Extracting #7: cost 101 inf + 43191 * * [misc]simplify: Extracting #8: cost 13 inf + 93394 * * [misc]simplify: Extracting #9: cost 0 inf + 101246 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1710 * * [misc]simplify: Extracting #8: cost 0 inf + 4410 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 453 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (260 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 33 inf + 1 * * [misc]simplify: Extracting #3: cost 36 inf + 1 * * [misc]simplify: Extracting #4: cost 42 inf + 1 * * [misc]simplify: Extracting #5: cost 36 inf + 88 * * [misc]simplify: Extracting #6: cost 31 inf + 579 * * [misc]simplify: Extracting #7: cost 19 inf + 4584 * * [misc]simplify: Extracting #8: cost 1 inf + 13380 * * [misc]simplify: Extracting #9: cost 0 inf + 14025 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 1024 * * [misc]simplify: Extracting #7: cost 3 inf + 3322 * * [misc]simplify: Extracting #8: cost 0 inf + 4732 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 454 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 1 * * [misc]simplify: Extracting #3: cost 32 inf + 1 * * [misc]simplify: Extracting #4: cost 38 inf + 1 * * [misc]simplify: Extracting #5: cost 32 inf + 88 * * [misc]simplify: Extracting #6: cost 22 inf + 1676 * * [misc]simplify: Extracting #7: cost 9 inf + 7441 * * [misc]simplify: Extracting #8: cost 0 inf + 13041 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 170 * * [misc]simplify: Extracting #7: cost 11 inf + 822 * * [misc]simplify: Extracting #8: cost 6 inf + 2276 * * [misc]simplify: Extracting #9: cost 0 inf + 5094 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 455 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 1 * * [misc]simplify: Extracting #3: cost 27 inf + 1 * * [misc]simplify: Extracting #4: cost 33 inf + 1 * * [misc]simplify: Extracting #5: cost 27 inf + 88 * * [misc]simplify: Extracting #6: cost 22 inf + 657 * * [misc]simplify: Extracting #7: cost 18 inf + 1509 * * [misc]simplify: Extracting #8: cost 3 inf + 8253 * * [misc]simplify: Extracting #9: cost 0 inf + 9907 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1670 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 456 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 5 inf + 985 * * [misc]simplify: Extracting #7: cost 1 inf + 2362 * * [misc]simplify: Extracting #8: cost 0 inf + 2846 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1912 * * [misc]simplify: Extracting #8: cost 0 inf + 2316 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 457 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 1 * * [misc]simplify: Extracting #3: cost 27 inf + 1 * * [misc]simplify: Extracting #4: cost 33 inf + 1 * * [misc]simplify: Extracting #5: cost 27 inf + 88 * * [misc]simplify: Extracting #6: cost 22 inf + 657 * * [misc]simplify: Extracting #7: cost 18 inf + 1509 * * [misc]simplify: Extracting #8: cost 3 inf + 8253 * * [misc]simplify: Extracting #9: cost 0 inf + 9907 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1670 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 458 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 129 * * [misc]simplify: Extracting #6: cost 5 inf + 1110 * * [misc]simplify: Extracting #7: cost 4 inf + 1272 * * [misc]simplify: Extracting #8: cost 2 inf + 1918 * * [misc]simplify: Extracting #9: cost 0 inf + 2846 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1912 * * [misc]simplify: Extracting #8: cost 0 inf + 2316 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 459 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 1 * * [misc]simplify: Extracting #3: cost 27 inf + 1 * * [misc]simplify: Extracting #4: cost 33 inf + 1 * * [misc]simplify: Extracting #5: cost 27 inf + 88 * * [misc]simplify: Extracting #6: cost 22 inf + 657 * * [misc]simplify: Extracting #7: cost 18 inf + 1509 * * [misc]simplify: Extracting #8: cost 3 inf + 8253 * * [misc]simplify: Extracting #9: cost 0 inf + 9907 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1670 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 460 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 129 * * [misc]simplify: Extracting #6: cost 5 inf + 1110 * * [misc]simplify: Extracting #7: cost 4 inf + 1272 * * [misc]simplify: Extracting #8: cost 1 inf + 2402 * * [misc]simplify: Extracting #9: cost 0 inf + 2846 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1912 * * [misc]simplify: Extracting #8: cost 0 inf + 2316 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 461 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 52 inf + 0 * * [misc]simplify: Extracting #2: cost 55 inf + 0 * * [misc]simplify: Extracting #3: cost 58 inf + 0 * * [misc]simplify: Extracting #4: cost 64 inf + 0 * * [misc]simplify: Extracting #5: cost 58 inf + 87 * * [misc]simplify: Extracting #6: cost 44 inf + 3564 * * [misc]simplify: Extracting #7: cost 7 inf + 23900 * * [misc]simplify: Extracting #8: cost 0 inf + 28328 * * [misc]simplify: Extracting #9: cost 0 inf + 28288 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 9 inf + 2798 * * [misc]simplify: Extracting #8: cost 0 inf + 6664 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 462 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 34 inf + 0 * * [misc]simplify: Extracting #3: cost 37 inf + 0 * * [misc]simplify: Extracting #4: cost 43 inf + 0 * * [misc]simplify: Extracting #5: cost 37 inf + 87 * * [misc]simplify: Extracting #6: cost 28 inf + 1470 * * [misc]simplify: Extracting #7: cost 6 inf + 12186 * * [misc]simplify: Extracting #8: cost 0 inf + 15768 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1670 * * [misc]simplify: Extracting #8: cost 5 inf + 4450 * * [misc]simplify: Extracting #9: cost 0 inf + 7146 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))))) * * * * [misc]progress: [ 463 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 33 inf + 0 * * [misc]simplify: Extracting #3: cost 38 inf + 0 * * [misc]simplify: Extracting #4: cost 44 inf + 0 * * [misc]simplify: Extracting #5: cost 38 inf + 87 * * [misc]simplify: Extracting #6: cost 29 inf + 1430 * * [misc]simplify: Extracting #7: cost 10 inf + 10534 * * [misc]simplify: Extracting #8: cost 0 inf + 16410 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1630 * * [misc]simplify: Extracting #8: cost 8 inf + 3404 * * [misc]simplify: Extracting #9: cost 1 inf + 6864 * * [misc]simplify: Extracting #10: cost 0 inf + 7588 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 464 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 2 * * [misc]simplify: Extracting #4: cost 28 inf + 2 * * [misc]simplify: Extracting #5: cost 22 inf + 89 * * [misc]simplify: Extracting #6: cost 16 inf + 866 * * [misc]simplify: Extracting #7: cost 11 inf + 2482 * * [misc]simplify: Extracting #8: cost 5 inf + 5104 * * [misc]simplify: Extracting #9: cost 0 inf + 7482 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 783 * * [misc]simplify: Extracting #8: cost 3 inf + 2195 * * [misc]simplify: Extracting #9: cost 0 inf + 3445 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 465 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (418 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 1 * * [misc]simplify: Extracting #3: cost 25 inf + 1 * * [misc]simplify: Extracting #4: cost 31 inf + 1 * * [misc]simplify: Extracting #5: cost 25 inf + 88 * * [misc]simplify: Extracting #6: cost 19 inf + 783 * * [misc]simplify: Extracting #7: cost 13 inf + 2846 * * [misc]simplify: Extracting #8: cost 7 inf + 5387 * * [misc]simplify: Extracting #9: cost 0 inf + 9096 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 782 * * [misc]simplify: Extracting #7: cost 2 inf + 3404 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 466 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 2 * * [misc]simplify: Extracting #4: cost 28 inf + 2 * * [misc]simplify: Extracting #5: cost 22 inf + 89 * * [misc]simplify: Extracting #6: cost 16 inf + 866 * * [misc]simplify: Extracting #7: cost 11 inf + 2482 * * [misc]simplify: Extracting #8: cost 5 inf + 5104 * * [misc]simplify: Extracting #9: cost 0 inf + 7482 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 783 * * [misc]simplify: Extracting #8: cost 3 inf + 2195 * * [misc]simplify: Extracting #9: cost 0 inf + 3445 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 467 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (400 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 23 inf + 1 * * [misc]simplify: Extracting #3: cost 26 inf + 1 * * [misc]simplify: Extracting #4: cost 32 inf + 1 * * [misc]simplify: Extracting #5: cost 25 inf + 129 * * [misc]simplify: Extracting #6: cost 20 inf + 781 * * [misc]simplify: Extracting #7: cost 6 inf + 5914 * * [misc]simplify: Extracting #8: cost 0 inf + 9059 * [exit]simplify: Simplified to (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 782 * * [misc]simplify: Extracting #7: cost 2 inf + 3404 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 468 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 2 * * [misc]simplify: Extracting #4: cost 28 inf + 2 * * [misc]simplify: Extracting #5: cost 22 inf + 89 * * [misc]simplify: Extracting #6: cost 16 inf + 866 * * [misc]simplify: Extracting #7: cost 11 inf + 2482 * * [misc]simplify: Extracting #8: cost 5 inf + 5104 * * [misc]simplify: Extracting #9: cost 0 inf + 7482 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 783 * * [misc]simplify: Extracting #8: cost 3 inf + 2195 * * [misc]simplify: Extracting #9: cost 0 inf + 3445 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 469 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (431 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 1 * * [misc]simplify: Extracting #3: cost 24 inf + 1 * * [misc]simplify: Extracting #4: cost 30 inf + 1 * * [misc]simplify: Extracting #5: cost 24 inf + 88 * * [misc]simplify: Extracting #6: cost 19 inf + 579 * * [misc]simplify: Extracting #7: cost 13 inf + 2200 * * [misc]simplify: Extracting #8: cost 0 inf + 8572 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 782 * * [misc]simplify: Extracting #7: cost 2 inf + 3404 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 470 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 78 inf + 0 * * [misc]simplify: Extracting #2: cost 107 inf + 1 * * [misc]simplify: Extracting #3: cost 110 inf + 1 * * [misc]simplify: Extracting #4: cost 116 inf + 1 * * [misc]simplify: Extracting #5: cost 109 inf + 213 * * [misc]simplify: Extracting #6: cost 98 inf + 2643 * * [misc]simplify: Extracting #7: cost 19 inf + 45922 * * [misc]simplify: Extracting #8: cost 0 inf + 57242 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1710 * * [misc]simplify: Extracting #8: cost 0 inf + 4410 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 471 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (250 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 1 * * [misc]simplify: Extracting #3: cost 23 inf + 1 * * [misc]simplify: Extracting #4: cost 29 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 88 * * [misc]simplify: Extracting #6: cost 16 inf + 1027 * * [misc]simplify: Extracting #7: cost 11 inf + 2644 * * [misc]simplify: Extracting #8: cost 1 inf + 7720 * * [misc]simplify: Extracting #9: cost 0 inf + 8082 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 1024 * * [misc]simplify: Extracting #7: cost 3 inf + 3322 * * [misc]simplify: Extracting #8: cost 0 inf + 4732 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 472 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (253 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 1 * * [misc]simplify: Extracting #3: cost 23 inf + 1 * * [misc]simplify: Extracting #4: cost 29 inf + 1 * * [misc]simplify: Extracting #5: cost 24 inf + 47 * * [misc]simplify: Extracting #6: cost 14 inf + 1631 * * [misc]simplify: Extracting #7: cost 2 inf + 6512 * * [misc]simplify: Extracting #8: cost 0 inf + 7800 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 170 * * [misc]simplify: Extracting #7: cost 11 inf + 822 * * [misc]simplify: Extracting #8: cost 6 inf + 2276 * * [misc]simplify: Extracting #9: cost 0 inf + 5094 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 473 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 26 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 88 * * [misc]simplify: Extracting #6: cost 12 inf + 1272 * * [misc]simplify: Extracting #7: cost 7 inf + 3088 * * [misc]simplify: Extracting #8: cost 0 inf + 6474 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1670 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 474 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 6 inf + 781 * * [misc]simplify: Extracting #7: cost 1 inf + 2362 * * [misc]simplify: Extracting #8: cost 0 inf + 2846 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1912 * * [misc]simplify: Extracting #8: cost 0 inf + 2316 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 475 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 26 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 88 * * [misc]simplify: Extracting #6: cost 12 inf + 1272 * * [misc]simplify: Extracting #7: cost 7 inf + 3088 * * [misc]simplify: Extracting #8: cost 0 inf + 6474 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1670 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 476 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 5 inf + 1028 * * [misc]simplify: Extracting #7: cost 0 inf + 2846 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1912 * * [misc]simplify: Extracting #8: cost 0 inf + 2316 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 477 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 26 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 88 * * [misc]simplify: Extracting #6: cost 12 inf + 1272 * * [misc]simplify: Extracting #7: cost 7 inf + 3088 * * [misc]simplify: Extracting #8: cost 0 inf + 6474 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1670 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 478 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 88 * * [misc]simplify: Extracting #6: cost 7 inf + 621 * * [misc]simplify: Extracting #7: cost 3 inf + 1474 * * [misc]simplify: Extracting #8: cost 0 inf + 2846 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1912 * * [misc]simplify: Extracting #8: cost 0 inf + 2316 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 479 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 73 inf + 0 * * [misc]simplify: Extracting #2: cost 179 inf + 1 * * [misc]simplify: Extracting #3: cost 197 inf + 2 * * [misc]simplify: Extracting #4: cost 203 inf + 2 * * [misc]simplify: Extracting #5: cost 192 inf + 580 * * [misc]simplify: Extracting #6: cost 134 inf + 21394 * * [misc]simplify: Extracting #7: cost 27 inf + 78222 * * [misc]simplify: Extracting #8: cost 0 inf + 94572 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 984 * * [misc]simplify: Extracting #8: cost 4 inf + 2234 * * [misc]simplify: Extracting #9: cost 0 inf + 4006 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 480 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 47 inf + 0 * * [misc]simplify: Extracting #2: cost 97 inf + 1 * * [misc]simplify: Extracting #3: cost 100 inf + 1 * * [misc]simplify: Extracting #4: cost 105 inf + 1 * * [misc]simplify: Extracting #5: cost 100 inf + 213 * * [misc]simplify: Extracting #6: cost 80 inf + 4720 * * [misc]simplify: Extracting #7: cost 59 inf + 15877 * * [misc]simplify: Extracting #8: cost 3 inf + 50469 * * [misc]simplify: Extracting #9: cost 0 inf + 52444 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1630 * * [misc]simplify: Extracting #8: cost 5 inf + 4610 * * [misc]simplify: Extracting #9: cost 0 inf + 7346 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 481 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (343 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 46 inf + 0 * * [misc]simplify: Extracting #2: cost 63 inf + 1 * * [misc]simplify: Extracting #3: cost 68 inf + 1 * * [misc]simplify: Extracting #4: cost 73 inf + 1 * * [misc]simplify: Extracting #5: cost 70 inf + 47 * * [misc]simplify: Extracting #6: cost 65 inf + 417 * * [misc]simplify: Extracting #7: cost 58 inf + 1916 * * [misc]simplify: Extracting #8: cost 43 inf + 8727 * * [misc]simplify: Extracting #9: cost 9 inf + 31103 * * [misc]simplify: Extracting #10: cost 0 inf + 37260 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1590 * * [misc]simplify: Extracting #8: cost 8 inf + 3524 * * [misc]simplify: Extracting #9: cost 2 inf + 6502 * * [misc]simplify: Extracting #10: cost 0 inf + 7788 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 482 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (414 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 111 inf + 0 * * [misc]simplify: Extracting #2: cost 283 inf + 1 * * [misc]simplify: Extracting #3: cost 286 inf + 1 * * [misc]simplify: Extracting #4: cost 291 inf + 1 * * [misc]simplify: Extracting #5: cost 272 inf + 3596 * * [misc]simplify: Extracting #6: cost 212 inf + 17785 * * [misc]simplify: Extracting #7: cost 190 inf + 28147 * * [misc]simplify: Extracting #8: cost 41 inf + 109587 * * [misc]simplify: Extracting #9: cost 0 inf + 134077 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1388 * * [misc]simplify: Extracting #8: cost 5 inf + 4248 * * [misc]simplify: Extracting #9: cost 0 inf + 6624 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 483 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * * [misc]simplify: iters left: 1 (367 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 47 * * [misc]simplify: Extracting #6: cost 11 inf + 988 * * [misc]simplify: Extracting #7: cost 6 inf + 2320 * * [misc]simplify: Extracting #8: cost 0 inf + 5382 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 2 inf + 5418 * * [misc]simplify: Extracting #9: cost 0 inf + 6102 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 484 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (414 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 111 inf + 0 * * [misc]simplify: Extracting #2: cost 283 inf + 1 * * [misc]simplify: Extracting #3: cost 286 inf + 1 * * [misc]simplify: Extracting #4: cost 291 inf + 1 * * [misc]simplify: Extracting #5: cost 272 inf + 3596 * * [misc]simplify: Extracting #6: cost 212 inf + 17785 * * [misc]simplify: Extracting #7: cost 190 inf + 28147 * * [misc]simplify: Extracting #8: cost 41 inf + 109587 * * [misc]simplify: Extracting #9: cost 0 inf + 134077 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1388 * * [misc]simplify: Extracting #8: cost 5 inf + 4248 * * [misc]simplify: Extracting #9: cost 0 inf + 6624 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 485 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (312 enodes) * * [misc]simplify: iters left: 1 (393 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 5 * * [misc]simplify: Extracting #6: cost 15 inf + 171 * * [misc]simplify: Extracting #7: cost 11 inf + 781 * * [misc]simplify: Extracting #8: cost 4 inf + 3246 * * [misc]simplify: Extracting #9: cost 0 inf + 5382 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 2 inf + 5418 * * [misc]simplify: Extracting #9: cost 0 inf + 6102 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 486 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (414 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 111 inf + 0 * * [misc]simplify: Extracting #2: cost 283 inf + 1 * * [misc]simplify: Extracting #3: cost 286 inf + 1 * * [misc]simplify: Extracting #4: cost 291 inf + 1 * * [misc]simplify: Extracting #5: cost 272 inf + 3596 * * [misc]simplify: Extracting #6: cost 212 inf + 17785 * * [misc]simplify: Extracting #7: cost 190 inf + 28147 * * [misc]simplify: Extracting #8: cost 41 inf + 109587 * * [misc]simplify: Extracting #9: cost 0 inf + 134077 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1388 * * [misc]simplify: Extracting #8: cost 5 inf + 4248 * * [misc]simplify: Extracting #9: cost 0 inf + 6624 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 487 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (314 enodes) * * [misc]simplify: iters left: 1 (380 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 5 * * [misc]simplify: Extracting #6: cost 15 inf + 171 * * [misc]simplify: Extracting #7: cost 11 inf + 781 * * [misc]simplify: Extracting #8: cost 2 inf + 4254 * * [misc]simplify: Extracting #9: cost 0 inf + 5382 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 2 inf + 5418 * * [misc]simplify: Extracting #9: cost 0 inf + 6102 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 488 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (225 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 62 inf + 0 * * [misc]simplify: Extracting #2: cost 116 inf + 1 * * [misc]simplify: Extracting #3: cost 121 inf + 1 * * [misc]simplify: Extracting #4: cost 126 inf + 1 * * [misc]simplify: Extracting #5: cost 121 inf + 213 * * [misc]simplify: Extracting #6: cost 87 inf + 9138 * * [misc]simplify: Extracting #7: cost 28 inf + 44093 * * [misc]simplify: Extracting #8: cost 1 inf + 62046 * * [misc]simplify: Extracting #9: cost 0 inf + 62770 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1630 * * [misc]simplify: Extracting #8: cost 5 inf + 4610 * * [misc]simplify: Extracting #9: cost 0 inf + 7346 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 489 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 26 inf + 1 * * [misc]simplify: Extracting #3: cost 29 inf + 1 * * [misc]simplify: Extracting #4: cost 35 inf + 1 * * [misc]simplify: Extracting #5: cost 30 inf + 47 * * [misc]simplify: Extracting #6: cost 23 inf + 988 * * [misc]simplify: Extracting #7: cost 17 inf + 2764 * * [misc]simplify: Extracting #8: cost 3 inf + 9698 * * [misc]simplify: Extracting #9: cost 0 inf + 11310 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 782 * * [misc]simplify: Extracting #8: cost 2 inf + 2798 * * [misc]simplify: Extracting #9: cost 0 inf + 3644 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 490 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 1 * * [misc]simplify: Extracting #3: cost 24 inf + 1 * * [misc]simplify: Extracting #4: cost 29 inf + 1 * * [misc]simplify: Extracting #5: cost 26 inf + 47 * * [misc]simplify: Extracting #6: cost 19 inf + 988 * * [misc]simplify: Extracting #7: cost 13 inf + 2240 * * [misc]simplify: Extracting #8: cost 5 inf + 5946 * * [misc]simplify: Extracting #9: cost 0 inf + 8964 * [exit]simplify: Simplified to (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1630 * * [misc]simplify: Extracting #8: cost 8 inf + 3564 * * [misc]simplify: Extracting #9: cost 2 inf + 6542 * * [misc]simplify: Extracting #10: cost 0 inf + 7828 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 491 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 1 * * [misc]simplify: Extracting #3: cost 22 inf + 1 * * [misc]simplify: Extracting #4: cost 27 inf + 1 * * [misc]simplify: Extracting #5: cost 24 inf + 47 * * [misc]simplify: Extracting #6: cost 17 inf + 988 * * [misc]simplify: Extracting #7: cost 10 inf + 2764 * * [misc]simplify: Extracting #8: cost 2 inf + 6912 * * [misc]simplify: Extracting #9: cost 0 inf + 8000 * [exit]simplify: Simplified to (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1630 * * [misc]simplify: Extracting #8: cost 5 inf + 4490 * * [misc]simplify: Extracting #9: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 492 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 5 * * [misc]simplify: Extracting #6: cost 10 inf + 455 * * [misc]simplify: Extracting #7: cost 7 inf + 1103 * * [misc]simplify: Extracting #8: cost 1 inf + 3126 * * [misc]simplify: Extracting #9: cost 0 inf + 3690 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 10 inf + 2114 * * [misc]simplify: Extracting #8: cost 0 inf + 6504 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 493 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 1 * * [misc]simplify: Extracting #3: cost 22 inf + 1 * * [misc]simplify: Extracting #4: cost 27 inf + 1 * * [misc]simplify: Extracting #5: cost 24 inf + 47 * * [misc]simplify: Extracting #6: cost 17 inf + 988 * * [misc]simplify: Extracting #7: cost 10 inf + 2764 * * [misc]simplify: Extracting #8: cost 2 inf + 6912 * * [misc]simplify: Extracting #9: cost 0 inf + 8000 * [exit]simplify: Simplified to (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1630 * * [misc]simplify: Extracting #8: cost 5 inf + 4490 * * [misc]simplify: Extracting #9: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 494 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 5 * * [misc]simplify: Extracting #6: cost 12 inf + 171 * * [misc]simplify: Extracting #7: cost 6 inf + 1272 * * [misc]simplify: Extracting #8: cost 4 inf + 1796 * * [misc]simplify: Extracting #9: cost 0 inf + 3690 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 10 inf + 2114 * * [misc]simplify: Extracting #8: cost 0 inf + 6504 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 495 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 1 * * [misc]simplify: Extracting #3: cost 22 inf + 1 * * [misc]simplify: Extracting #4: cost 27 inf + 1 * * [misc]simplify: Extracting #5: cost 24 inf + 47 * * [misc]simplify: Extracting #6: cost 17 inf + 988 * * [misc]simplify: Extracting #7: cost 10 inf + 2764 * * [misc]simplify: Extracting #8: cost 2 inf + 6912 * * [misc]simplify: Extracting #9: cost 0 inf + 8000 * [exit]simplify: Simplified to (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1630 * * [misc]simplify: Extracting #8: cost 5 inf + 4490 * * [misc]simplify: Extracting #9: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 496 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 47 * * [misc]simplify: Extracting #6: cost 8 inf + 988 * * [misc]simplify: Extracting #7: cost 6 inf + 1272 * * [misc]simplify: Extracting #8: cost 3 inf + 2360 * * [misc]simplify: Extracting #9: cost 0 inf + 3690 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 10 inf + 2114 * * [misc]simplify: Extracting #8: cost 0 inf + 6504 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 497 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 90 inf + 0 * * [misc]simplify: Extracting #2: cost 165 inf + 1 * * [misc]simplify: Extracting #3: cost 179 inf + 1 * * [misc]simplify: Extracting #4: cost 184 inf + 1 * * [misc]simplify: Extracting #5: cost 179 inf + 213 * * [misc]simplify: Extracting #6: cost 133 inf + 10837 * * [misc]simplify: Extracting #7: cost 116 inf + 18902 * * [misc]simplify: Extracting #8: cost 87 inf + 35576 * * [misc]simplify: Extracting #9: cost 13 inf + 83194 * * [misc]simplify: Extracting #10: cost 0 inf + 92771 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1590 * * [misc]simplify: Extracting #8: cost 4 inf + 5616 * * [misc]simplify: Extracting #9: cost 0 inf + 7788 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 498 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 20 inf + 0 * * [misc]simplify: Extracting #2: cost 26 inf + 1 * * [misc]simplify: Extracting #3: cost 31 inf + 1 * * [misc]simplify: Extracting #4: cost 36 inf + 1 * * [misc]simplify: Extracting #5: cost 33 inf + 47 * * [misc]simplify: Extracting #6: cost 29 inf + 295 * * [misc]simplify: Extracting #7: cost 21 inf + 1958 * * [misc]simplify: Extracting #8: cost 17 inf + 3570 * * [misc]simplify: Extracting #9: cost 0 inf + 13235 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1630 * * [misc]simplify: Extracting #8: cost 4 inf + 5656 * * [misc]simplify: Extracting #9: cost 0 inf + 7828 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 499 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 25 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 88 * * [misc]simplify: Extracting #6: cost 14 inf + 744 * * [misc]simplify: Extracting #7: cost 6 inf + 3089 * * [misc]simplify: Extracting #8: cost 1 inf + 5468 * * [misc]simplify: Extracting #9: cost 0 inf + 6032 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (/ (fabs (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (fabs (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 984 * * [misc]simplify: Extracting #8: cost 4 inf + 1912 * * [misc]simplify: Extracting #9: cost 0 inf + 3966 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (fabs (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 500 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 1 * * [misc]simplify: Extracting #3: cost 27 inf + 1 * * [misc]simplify: Extracting #4: cost 32 inf + 1 * * [misc]simplify: Extracting #5: cost 29 inf + 47 * * [misc]simplify: Extracting #6: cost 23 inf + 743 * * [misc]simplify: Extracting #7: cost 15 inf + 2804 * * [misc]simplify: Extracting #8: cost 11 inf + 4619 * * [misc]simplify: Extracting #9: cost 3 inf + 8970 * * [misc]simplify: Extracting #10: cost 0 inf + 10660 * [exit]simplify: Simplified to (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1590 * * [misc]simplify: Extracting #8: cost 4 inf + 5376 * * [misc]simplify: Extracting #9: cost 0 inf + 7468 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 501 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 5 * * [misc]simplify: Extracting #6: cost 10 inf + 495 * * [misc]simplify: Extracting #7: cost 7 inf + 1103 * * [misc]simplify: Extracting #8: cost 2 inf + 2602 * * [misc]simplify: Extracting #9: cost 0 inf + 3690 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 2034 * * [misc]simplify: Extracting #8: cost 3 inf + 5256 * * [misc]simplify: Extracting #9: cost 0 inf + 6946 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 502 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 1 * * [misc]simplify: Extracting #3: cost 27 inf + 1 * * [misc]simplify: Extracting #4: cost 32 inf + 1 * * [misc]simplify: Extracting #5: cost 29 inf + 47 * * [misc]simplify: Extracting #6: cost 23 inf + 743 * * [misc]simplify: Extracting #7: cost 15 inf + 2804 * * [misc]simplify: Extracting #8: cost 11 inf + 4619 * * [misc]simplify: Extracting #9: cost 3 inf + 8970 * * [misc]simplify: Extracting #10: cost 0 inf + 10660 * [exit]simplify: Simplified to (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1590 * * [misc]simplify: Extracting #8: cost 4 inf + 5376 * * [misc]simplify: Extracting #9: cost 0 inf + 7468 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 503 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 5 * * [misc]simplify: Extracting #6: cost 12 inf + 171 * * [misc]simplify: Extracting #7: cost 7 inf + 1068 * * [misc]simplify: Extracting #8: cost 3 inf + 2078 * * [misc]simplify: Extracting #9: cost 0 inf + 3690 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 2034 * * [misc]simplify: Extracting #8: cost 3 inf + 5256 * * [misc]simplify: Extracting #9: cost 0 inf + 6946 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 504 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 1 * * [misc]simplify: Extracting #3: cost 27 inf + 1 * * [misc]simplify: Extracting #4: cost 32 inf + 1 * * [misc]simplify: Extracting #5: cost 29 inf + 47 * * [misc]simplify: Extracting #6: cost 23 inf + 743 * * [misc]simplify: Extracting #7: cost 15 inf + 2804 * * [misc]simplify: Extracting #8: cost 11 inf + 4619 * * [misc]simplify: Extracting #9: cost 3 inf + 8970 * * [misc]simplify: Extracting #10: cost 0 inf + 10660 * [exit]simplify: Simplified to (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1590 * * [misc]simplify: Extracting #8: cost 4 inf + 5376 * * [misc]simplify: Extracting #9: cost 0 inf + 7468 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 505 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 47 * * [misc]simplify: Extracting #6: cost 11 inf + 295 * * [misc]simplify: Extracting #7: cost 7 inf + 1067 * * [misc]simplify: Extracting #8: cost 3 inf + 2078 * * [misc]simplify: Extracting #9: cost 0 inf + 3690 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 2034 * * [misc]simplify: Extracting #8: cost 3 inf + 5256 * * [misc]simplify: Extracting #9: cost 0 inf + 6946 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 506 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (311 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 69 inf + 0 * * [misc]simplify: Extracting #2: cost 118 inf + 1 * * [misc]simplify: Extracting #3: cost 121 inf + 1 * * [misc]simplify: Extracting #4: cost 126 inf + 1 * * [misc]simplify: Extracting #5: cost 119 inf + 661 * * [misc]simplify: Extracting #6: cost 108 inf + 3053 * * [misc]simplify: Extracting #7: cost 35 inf + 43471 * * [misc]simplify: Extracting #8: cost 0 inf + 64574 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1388 * * [misc]simplify: Extracting #8: cost 5 inf + 4168 * * [misc]simplify: Extracting #9: cost 0 inf + 6624 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 507 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (350 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 20 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 1 * * [misc]simplify: Extracting #3: cost 28 inf + 1 * * [misc]simplify: Extracting #4: cost 33 inf + 1 * * [misc]simplify: Extracting #5: cost 30 inf + 47 * * [misc]simplify: Extracting #6: cost 27 inf + 171 * * [misc]simplify: Extracting #7: cost 21 inf + 1227 * * [misc]simplify: Extracting #8: cost 6 inf + 7921 * * [misc]simplify: Extracting #9: cost 0 inf + 11386 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (+ (* b d) (* a c))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (+ (* b d) (* a c))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1630 * * [misc]simplify: Extracting #8: cost 5 inf + 4410 * * [misc]simplify: Extracting #9: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (+ (* b d) (* a c))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 508 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (321 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 38 inf + 1 * * [misc]simplify: Extracting #3: cost 43 inf + 1 * * [misc]simplify: Extracting #4: cost 48 inf + 1 * * [misc]simplify: Extracting #5: cost 45 inf + 47 * * [misc]simplify: Extracting #6: cost 38 inf + 781 * * [misc]simplify: Extracting #7: cost 20 inf + 8926 * * [misc]simplify: Extracting #8: cost 0 inf + 19809 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (/ (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1590 * * [misc]simplify: Extracting #8: cost 8 inf + 3364 * * [misc]simplify: Extracting #9: cost 2 inf + 6262 * * [misc]simplify: Extracting #10: cost 0 inf + 7468 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 509 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 46 * * [misc]simplify: Extracting #6: cost 11 inf + 621 * * [misc]simplify: Extracting #7: cost 6 inf + 1918 * * [misc]simplify: Extracting #8: cost 0 inf + 4580 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 782 * * [misc]simplify: Extracting #8: cost 2 inf + 2638 * * [misc]simplify: Extracting #9: cost 0 inf + 3404 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 510 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 47 * * [misc]simplify: Extracting #6: cost 10 inf + 295 * * [misc]simplify: Extracting #7: cost 5 inf + 1272 * * [misc]simplify: Extracting #8: cost 4 inf + 1474 * * [misc]simplify: Extracting #9: cost 1 inf + 2724 * * [misc]simplify: Extracting #10: cost 0 inf + 3208 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 2 inf + 5178 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 511 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 46 * * [misc]simplify: Extracting #6: cost 11 inf + 621 * * [misc]simplify: Extracting #7: cost 6 inf + 1918 * * [misc]simplify: Extracting #8: cost 0 inf + 4580 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 782 * * [misc]simplify: Extracting #8: cost 2 inf + 2638 * * [misc]simplify: Extracting #9: cost 0 inf + 3404 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 512 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 47 * * [misc]simplify: Extracting #6: cost 8 inf + 744 * * [misc]simplify: Extracting #7: cost 5 inf + 1272 * * [misc]simplify: Extracting #8: cost 1 inf + 2684 * * [misc]simplify: Extracting #9: cost 0 inf + 3208 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 2 inf + 5178 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 513 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 46 * * [misc]simplify: Extracting #6: cost 11 inf + 621 * * [misc]simplify: Extracting #7: cost 6 inf + 1918 * * [misc]simplify: Extracting #8: cost 0 inf + 4580 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 782 * * [misc]simplify: Extracting #8: cost 2 inf + 2638 * * [misc]simplify: Extracting #9: cost 0 inf + 3404 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 514 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 47 * * [misc]simplify: Extracting #6: cost 10 inf + 621 * * [misc]simplify: Extracting #7: cost 4 inf + 1961 * * [misc]simplify: Extracting #8: cost 0 inf + 3978 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 2 inf + 5178 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 515 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (257 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 1 * * [misc]simplify: Extracting #3: cost 25 inf + 1 * * [misc]simplify: Extracting #4: cost 30 inf + 1 * * [misc]simplify: Extracting #5: cost 27 inf + 47 * * [misc]simplify: Extracting #6: cost 18 inf + 1230 * * [misc]simplify: Extracting #7: cost 5 inf + 5963 * * [misc]simplify: Extracting #8: cost 0 inf + 8783 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 4 inf + 4370 * * [misc]simplify: Extracting #9: cost 0 inf + 6102 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 516 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 5 * * [misc]simplify: Extracting #6: cost 12 inf + 171 * * [misc]simplify: Extracting #7: cost 10 inf + 417 * * [misc]simplify: Extracting #8: cost 3 inf + 2320 * * [misc]simplify: Extracting #9: cost 0 inf + 3690 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 9 inf + 2476 * * [misc]simplify: Extracting #8: cost 0 inf + 6504 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 517 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 47 * * [misc]simplify: Extracting #6: cost 9 inf + 621 * * [misc]simplify: Extracting #7: cost 2 inf + 2602 * * [misc]simplify: Extracting #8: cost 0 inf + 3690 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1832 * * [misc]simplify: Extracting #8: cost 3 inf + 5296 * * [misc]simplify: Extracting #9: cost 0 inf + 6946 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 518 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 47 * * [misc]simplify: Extracting #6: cost 8 inf + 1233 * * [misc]simplify: Extracting #7: cost 7 inf + 1355 * * [misc]simplify: Extracting #8: cost 5 inf + 1719 * * [misc]simplify: Extracting #9: cost 1 inf + 3453 * * [misc]simplify: Extracting #10: cost 0 inf + 3978 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 4 inf + 4210 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 519 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt 1))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 6 inf + 5 * * [misc]simplify: Extracting #6: cost 1 inf + 661 * * [misc]simplify: Extracting #7: cost 0 inf + 906 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1671 * * [misc]simplify: Extracting #8: cost 0 inf + 3003 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 520 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 47 * * [misc]simplify: Extracting #6: cost 8 inf + 1233 * * [misc]simplify: Extracting #7: cost 7 inf + 1355 * * [misc]simplify: Extracting #8: cost 5 inf + 1719 * * [misc]simplify: Extracting #9: cost 1 inf + 3453 * * [misc]simplify: Extracting #10: cost 0 inf + 3978 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 4 inf + 4210 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 521 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt 1))) (sqrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 6 inf + 5 * * [misc]simplify: Extracting #6: cost 1 inf + 661 * * [misc]simplify: Extracting #7: cost 0 inf + 906 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1671 * * [misc]simplify: Extracting #8: cost 0 inf + 3003 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 522 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 47 * * [misc]simplify: Extracting #6: cost 8 inf + 1233 * * [misc]simplify: Extracting #7: cost 7 inf + 1355 * * [misc]simplify: Extracting #8: cost 5 inf + 1719 * * [misc]simplify: Extracting #9: cost 1 inf + 3453 * * [misc]simplify: Extracting #10: cost 0 inf + 3978 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 4 inf + 4210 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 523 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 47 * * [misc]simplify: Extracting #6: cost 0 inf + 906 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1671 * * [misc]simplify: Extracting #8: cost 0 inf + 3003 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 524 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (311 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 69 inf + 0 * * [misc]simplify: Extracting #2: cost 118 inf + 1 * * [misc]simplify: Extracting #3: cost 121 inf + 1 * * [misc]simplify: Extracting #4: cost 126 inf + 1 * * [misc]simplify: Extracting #5: cost 119 inf + 661 * * [misc]simplify: Extracting #6: cost 108 inf + 3053 * * [misc]simplify: Extracting #7: cost 35 inf + 43471 * * [misc]simplify: Extracting #8: cost 0 inf + 64574 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1388 * * [misc]simplify: Extracting #8: cost 5 inf + 4168 * * [misc]simplify: Extracting #9: cost 0 inf + 6624 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 525 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (350 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 20 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 1 * * [misc]simplify: Extracting #3: cost 28 inf + 1 * * [misc]simplify: Extracting #4: cost 33 inf + 1 * * [misc]simplify: Extracting #5: cost 30 inf + 47 * * [misc]simplify: Extracting #6: cost 27 inf + 171 * * [misc]simplify: Extracting #7: cost 21 inf + 1227 * * [misc]simplify: Extracting #8: cost 6 inf + 7921 * * [misc]simplify: Extracting #9: cost 0 inf + 11386 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (+ (* b d) (* a c))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (+ (* b d) (* a c))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1630 * * [misc]simplify: Extracting #8: cost 5 inf + 4410 * * [misc]simplify: Extracting #9: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (+ (* b d) (* a c))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 526 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (321 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 38 inf + 1 * * [misc]simplify: Extracting #3: cost 43 inf + 1 * * [misc]simplify: Extracting #4: cost 48 inf + 1 * * [misc]simplify: Extracting #5: cost 45 inf + 47 * * [misc]simplify: Extracting #6: cost 38 inf + 781 * * [misc]simplify: Extracting #7: cost 20 inf + 8926 * * [misc]simplify: Extracting #8: cost 0 inf + 19809 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (/ (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1590 * * [misc]simplify: Extracting #8: cost 8 inf + 3364 * * [misc]simplify: Extracting #9: cost 2 inf + 6262 * * [misc]simplify: Extracting #10: cost 0 inf + 7468 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 527 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 46 * * [misc]simplify: Extracting #6: cost 11 inf + 621 * * [misc]simplify: Extracting #7: cost 6 inf + 1918 * * [misc]simplify: Extracting #8: cost 0 inf + 4580 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 782 * * [misc]simplify: Extracting #8: cost 2 inf + 2638 * * [misc]simplify: Extracting #9: cost 0 inf + 3404 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 528 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 47 * * [misc]simplify: Extracting #6: cost 10 inf + 295 * * [misc]simplify: Extracting #7: cost 5 inf + 1272 * * [misc]simplify: Extracting #8: cost 4 inf + 1474 * * [misc]simplify: Extracting #9: cost 1 inf + 2724 * * [misc]simplify: Extracting #10: cost 0 inf + 3208 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 2 inf + 5178 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 529 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 46 * * [misc]simplify: Extracting #6: cost 11 inf + 621 * * [misc]simplify: Extracting #7: cost 6 inf + 1918 * * [misc]simplify: Extracting #8: cost 0 inf + 4580 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 782 * * [misc]simplify: Extracting #8: cost 2 inf + 2638 * * [misc]simplify: Extracting #9: cost 0 inf + 3404 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 530 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 47 * * [misc]simplify: Extracting #6: cost 8 inf + 744 * * [misc]simplify: Extracting #7: cost 5 inf + 1272 * * [misc]simplify: Extracting #8: cost 1 inf + 2684 * * [misc]simplify: Extracting #9: cost 0 inf + 3208 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 2 inf + 5178 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 531 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 46 * * [misc]simplify: Extracting #6: cost 11 inf + 621 * * [misc]simplify: Extracting #7: cost 6 inf + 1918 * * [misc]simplify: Extracting #8: cost 0 inf + 4580 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 782 * * [misc]simplify: Extracting #8: cost 2 inf + 2638 * * [misc]simplify: Extracting #9: cost 0 inf + 3404 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 532 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 47 * * [misc]simplify: Extracting #6: cost 10 inf + 621 * * [misc]simplify: Extracting #7: cost 4 inf + 1961 * * [misc]simplify: Extracting #8: cost 0 inf + 3978 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 2 inf + 5178 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 533 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (333 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 67 inf + 1 * * [misc]simplify: Extracting #3: cost 70 inf + 1 * * [misc]simplify: Extracting #4: cost 75 inf + 1 * * [misc]simplify: Extracting #5: cost 72 inf + 47 * * [misc]simplify: Extracting #6: cost 64 inf + 1063 * * [misc]simplify: Extracting #7: cost 23 inf + 17078 * * [misc]simplify: Extracting #8: cost 0 inf + 27173 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 4 inf + 4370 * * [misc]simplify: Extracting #9: cost 0 inf + 6102 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 534 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 5 * * [misc]simplify: Extracting #6: cost 11 inf + 293 * * [misc]simplify: Extracting #7: cost 7 inf + 1027 * * [misc]simplify: Extracting #8: cost 0 inf + 3690 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 9 inf + 2476 * * [misc]simplify: Extracting #8: cost 0 inf + 6504 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 535 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 5 * * [misc]simplify: Extracting #6: cost 11 inf + 293 * * [misc]simplify: Extracting #7: cost 4 inf + 1836 * * [misc]simplify: Extracting #8: cost 0 inf + 3690 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1832 * * [misc]simplify: Extracting #8: cost 3 inf + 5296 * * [misc]simplify: Extracting #9: cost 0 inf + 6946 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 536 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (236 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 47 * * [misc]simplify: Extracting #6: cost 7 inf + 865 * * [misc]simplify: Extracting #7: cost 5 inf + 1272 * * [misc]simplify: Extracting #8: cost 3 inf + 1716 * * [misc]simplify: Extracting #9: cost 0 inf + 3208 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 4 inf + 4210 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 537 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt 1)) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 47 * * [misc]simplify: Extracting #6: cost 0 inf + 906 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1671 * * [misc]simplify: Extracting #8: cost 0 inf + 3003 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 538 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (236 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 47 * * [misc]simplify: Extracting #6: cost 7 inf + 865 * * [misc]simplify: Extracting #7: cost 5 inf + 1272 * * [misc]simplify: Extracting #8: cost 3 inf + 1716 * * [misc]simplify: Extracting #9: cost 0 inf + 3208 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 4 inf + 4210 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 539 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 47 * * [misc]simplify: Extracting #6: cost 0 inf + 906 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1671 * * [misc]simplify: Extracting #8: cost 0 inf + 3003 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 540 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (236 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 47 * * [misc]simplify: Extracting #6: cost 7 inf + 865 * * [misc]simplify: Extracting #7: cost 5 inf + 1272 * * [misc]simplify: Extracting #8: cost 3 inf + 1716 * * [misc]simplify: Extracting #9: cost 0 inf + 3208 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 4 inf + 4210 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 541 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 47 * * [misc]simplify: Extracting #6: cost 4 inf + 89 * * [misc]simplify: Extracting #7: cost 1 inf + 661 * * [misc]simplify: Extracting #8: cost 0 inf + 906 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1671 * * [misc]simplify: Extracting #8: cost 0 inf + 3003 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 542 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (311 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 69 inf + 0 * * [misc]simplify: Extracting #2: cost 118 inf + 1 * * [misc]simplify: Extracting #3: cost 121 inf + 1 * * [misc]simplify: Extracting #4: cost 126 inf + 1 * * [misc]simplify: Extracting #5: cost 119 inf + 661 * * [misc]simplify: Extracting #6: cost 108 inf + 3053 * * [misc]simplify: Extracting #7: cost 35 inf + 43471 * * [misc]simplify: Extracting #8: cost 0 inf + 64574 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1388 * * [misc]simplify: Extracting #8: cost 5 inf + 4168 * * [misc]simplify: Extracting #9: cost 0 inf + 6624 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 543 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (350 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 20 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 1 * * [misc]simplify: Extracting #3: cost 28 inf + 1 * * [misc]simplify: Extracting #4: cost 33 inf + 1 * * [misc]simplify: Extracting #5: cost 30 inf + 47 * * [misc]simplify: Extracting #6: cost 27 inf + 171 * * [misc]simplify: Extracting #7: cost 21 inf + 1227 * * [misc]simplify: Extracting #8: cost 6 inf + 7921 * * [misc]simplify: Extracting #9: cost 0 inf + 11386 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (+ (* b d) (* a c))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (+ (* b d) (* a c))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1630 * * [misc]simplify: Extracting #8: cost 5 inf + 4410 * * [misc]simplify: Extracting #9: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (+ (* b d) (* a c))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 544 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (321 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 38 inf + 1 * * [misc]simplify: Extracting #3: cost 43 inf + 1 * * [misc]simplify: Extracting #4: cost 48 inf + 1 * * [misc]simplify: Extracting #5: cost 45 inf + 47 * * [misc]simplify: Extracting #6: cost 38 inf + 781 * * [misc]simplify: Extracting #7: cost 20 inf + 8926 * * [misc]simplify: Extracting #8: cost 0 inf + 19809 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (/ (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1590 * * [misc]simplify: Extracting #8: cost 8 inf + 3364 * * [misc]simplify: Extracting #9: cost 2 inf + 6262 * * [misc]simplify: Extracting #10: cost 0 inf + 7468 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 545 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 46 * * [misc]simplify: Extracting #6: cost 11 inf + 621 * * [misc]simplify: Extracting #7: cost 6 inf + 1918 * * [misc]simplify: Extracting #8: cost 0 inf + 4580 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 782 * * [misc]simplify: Extracting #8: cost 2 inf + 2638 * * [misc]simplify: Extracting #9: cost 0 inf + 3404 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 546 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 47 * * [misc]simplify: Extracting #6: cost 10 inf + 295 * * [misc]simplify: Extracting #7: cost 5 inf + 1272 * * [misc]simplify: Extracting #8: cost 4 inf + 1474 * * [misc]simplify: Extracting #9: cost 1 inf + 2724 * * [misc]simplify: Extracting #10: cost 0 inf + 3208 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 2 inf + 5178 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 547 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 46 * * [misc]simplify: Extracting #6: cost 11 inf + 621 * * [misc]simplify: Extracting #7: cost 6 inf + 1918 * * [misc]simplify: Extracting #8: cost 0 inf + 4580 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 782 * * [misc]simplify: Extracting #8: cost 2 inf + 2638 * * [misc]simplify: Extracting #9: cost 0 inf + 3404 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 548 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 47 * * [misc]simplify: Extracting #6: cost 8 inf + 744 * * [misc]simplify: Extracting #7: cost 5 inf + 1272 * * [misc]simplify: Extracting #8: cost 1 inf + 2684 * * [misc]simplify: Extracting #9: cost 0 inf + 3208 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 2 inf + 5178 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 549 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 46 * * [misc]simplify: Extracting #6: cost 11 inf + 621 * * [misc]simplify: Extracting #7: cost 6 inf + 1918 * * [misc]simplify: Extracting #8: cost 0 inf + 4580 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 782 * * [misc]simplify: Extracting #8: cost 2 inf + 2638 * * [misc]simplify: Extracting #9: cost 0 inf + 3404 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 550 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 47 * * [misc]simplify: Extracting #6: cost 10 inf + 621 * * [misc]simplify: Extracting #7: cost 4 inf + 1961 * * [misc]simplify: Extracting #8: cost 0 inf + 3978 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 2 inf + 5178 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 551 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (248 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 5 * * [misc]simplify: Extracting #6: cost 15 inf + 171 * * [misc]simplify: Extracting #7: cost 11 inf + 783 * * [misc]simplify: Extracting #8: cost 8 inf + 1474 * * [misc]simplify: Extracting #9: cost 3 inf + 3690 * * [misc]simplify: Extracting #10: cost 0 inf + 5382 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 4 inf + 4370 * * [misc]simplify: Extracting #9: cost 0 inf + 6102 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 552 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 5 * * [misc]simplify: Extracting #6: cost 11 inf + 293 * * [misc]simplify: Extracting #7: cost 8 inf + 783 * * [misc]simplify: Extracting #8: cost 0 inf + 3690 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 9 inf + 2476 * * [misc]simplify: Extracting #8: cost 0 inf + 6504 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 553 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 47 * * [misc]simplify: Extracting #6: cost 10 inf + 417 * * [misc]simplify: Extracting #7: cost 3 inf + 2360 * * [misc]simplify: Extracting #8: cost 0 inf + 3690 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1832 * * [misc]simplify: Extracting #8: cost 3 inf + 5296 * * [misc]simplify: Extracting #9: cost 0 inf + 6946 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 554 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 47 * * [misc]simplify: Extracting #6: cost 9 inf + 417 * * [misc]simplify: Extracting #7: cost 5 inf + 1272 * * [misc]simplify: Extracting #8: cost 3 inf + 1716 * * [misc]simplify: Extracting #9: cost 0 inf + 3208 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 4 inf + 4210 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 555 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) 1) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 6 inf + 5 * * [misc]simplify: Extracting #6: cost 1 inf + 661 * * [misc]simplify: Extracting #7: cost 0 inf + 906 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1671 * * [misc]simplify: Extracting #8: cost 0 inf + 3003 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 556 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 47 * * [misc]simplify: Extracting #6: cost 9 inf + 417 * * [misc]simplify: Extracting #7: cost 5 inf + 1272 * * [misc]simplify: Extracting #8: cost 3 inf + 1716 * * [misc]simplify: Extracting #9: cost 0 inf + 3208 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 4 inf + 4210 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 557 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 4 inf + 89 * * [misc]simplify: Extracting #6: cost 0 inf + 906 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1671 * * [misc]simplify: Extracting #8: cost 0 inf + 3003 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 558 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 47 * * [misc]simplify: Extracting #6: cost 9 inf + 417 * * [misc]simplify: Extracting #7: cost 5 inf + 1272 * * [misc]simplify: Extracting #8: cost 3 inf + 1716 * * [misc]simplify: Extracting #9: cost 0 inf + 3208 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 4 inf + 4210 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 559 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) 1) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 6 inf + 5 * * [misc]simplify: Extracting #6: cost 0 inf + 906 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1671 * * [misc]simplify: Extracting #8: cost 0 inf + 3003 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 560 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 58 inf + 0 * * [misc]simplify: Extracting #2: cost 88 inf + 0 * * [misc]simplify: Extracting #3: cost 90 inf + 2 * * [misc]simplify: Extracting #4: cost 94 inf + 2 * * [misc]simplify: Extracting #5: cost 84 inf + 703 * * [misc]simplify: Extracting #6: cost 77 inf + 2602 * * [misc]simplify: Extracting #7: cost 45 inf + 17512 * * [misc]simplify: Extracting #8: cost 5 inf + 39942 * * [misc]simplify: Extracting #9: cost 0 inf + 42880 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 782 * * [misc]simplify: Extracting #8: cost 4 inf + 2274 * * [misc]simplify: Extracting #9: cost 0 inf + 4046 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 561 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * * [misc]simplify: iters left: 1 (431 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 51 inf + 0 * * [misc]simplify: Extracting #2: cost 56 inf + 0 * * [misc]simplify: Extracting #3: cost 59 inf + 0 * * [misc]simplify: Extracting #4: cost 65 inf + 0 * * [misc]simplify: Extracting #5: cost 59 inf + 87 * * [misc]simplify: Extracting #6: cost 45 inf + 3646 * * [misc]simplify: Extracting #7: cost 20 inf + 17296 * * [misc]simplify: Extracting #8: cost 0 inf + 30448 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1670 * * [misc]simplify: Extracting #8: cost 5 inf + 4650 * * [misc]simplify: Extracting #9: cost 0 inf + 7466 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))))) * * * * [misc]progress: [ 562 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (431 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 54 inf + 0 * * [misc]simplify: Extracting #2: cost 58 inf + 0 * * [misc]simplify: Extracting #3: cost 63 inf + 0 * * [misc]simplify: Extracting #4: cost 69 inf + 0 * * [misc]simplify: Extracting #5: cost 63 inf + 87 * * [misc]simplify: Extracting #6: cost 53 inf + 1832 * * [misc]simplify: Extracting #7: cost 34 inf + 11260 * * [misc]simplify: Extracting #8: cost 13 inf + 24052 * * [misc]simplify: Extracting #9: cost 0 inf + 33942 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1630 * * [misc]simplify: Extracting #8: cost 8 inf + 3564 * * [misc]simplify: Extracting #9: cost 1 inf + 7144 * * [misc]simplify: Extracting #10: cost 0 inf + 7908 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 563 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 53 inf + 0 * * [misc]simplify: Extracting #2: cost 56 inf + 0 * * [misc]simplify: Extracting #3: cost 59 inf + 0 * * [misc]simplify: Extracting #4: cost 65 inf + 0 * * [misc]simplify: Extracting #5: cost 59 inf + 87 * * [misc]simplify: Extracting #6: cost 46 inf + 3242 * * [misc]simplify: Extracting #7: cost 15 inf + 19392 * * [misc]simplify: Extracting #8: cost 0 inf + 28972 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 9 inf + 2678 * * [misc]simplify: Extracting #8: cost 0 inf + 6664 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 564 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (351 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 71 inf + 0 * * [misc]simplify: Extracting #2: cost 189 inf + 1 * * [misc]simplify: Extracting #3: cost 198 inf + 1 * * [misc]simplify: Extracting #4: cost 204 inf + 1 * * [misc]simplify: Extracting #5: cost 180 inf + 4073 * * [misc]simplify: Extracting #6: cost 81 inf + 45368 * * [misc]simplify: Extracting #7: cost 16 inf + 81868 * * [misc]simplify: Extracting #8: cost 0 inf + 91495 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 782 * * [misc]simplify: Extracting #7: cost 2 inf + 3564 * * [misc]simplify: Extracting #8: cost 0 inf + 4410 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 565 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 53 inf + 0 * * [misc]simplify: Extracting #2: cost 56 inf + 0 * * [misc]simplify: Extracting #3: cost 59 inf + 0 * * [misc]simplify: Extracting #4: cost 65 inf + 0 * * [misc]simplify: Extracting #5: cost 59 inf + 87 * * [misc]simplify: Extracting #6: cost 46 inf + 3242 * * [misc]simplify: Extracting #7: cost 15 inf + 19392 * * [misc]simplify: Extracting #8: cost 0 inf + 28972 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 9 inf + 2678 * * [misc]simplify: Extracting #8: cost 0 inf + 6664 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 566 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (401 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 94 inf + 0 * * [misc]simplify: Extracting #2: cost 245 inf + 1 * * [misc]simplify: Extracting #3: cost 261 inf + 1 * * [misc]simplify: Extracting #4: cost 267 inf + 1 * * [misc]simplify: Extracting #5: cost 224 inf + 10673 * * [misc]simplify: Extracting #6: cost 97 inf + 67122 * * [misc]simplify: Extracting #7: cost 4 inf + 120258 * * [misc]simplify: Extracting #8: cost 0 inf + 122714 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 782 * * [misc]simplify: Extracting #7: cost 2 inf + 3564 * * [misc]simplify: Extracting #8: cost 0 inf + 4410 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 567 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 53 inf + 0 * * [misc]simplify: Extracting #2: cost 56 inf + 0 * * [misc]simplify: Extracting #3: cost 59 inf + 0 * * [misc]simplify: Extracting #4: cost 65 inf + 0 * * [misc]simplify: Extracting #5: cost 59 inf + 87 * * [misc]simplify: Extracting #6: cost 46 inf + 3242 * * [misc]simplify: Extracting #7: cost 15 inf + 19392 * * [misc]simplify: Extracting #8: cost 0 inf + 28972 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 9 inf + 2678 * * [misc]simplify: Extracting #8: cost 0 inf + 6664 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 568 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 72 inf + 0 * * [misc]simplify: Extracting #2: cost 205 inf + 1 * * [misc]simplify: Extracting #3: cost 212 inf + 1 * * [misc]simplify: Extracting #4: cost 218 inf + 1 * * [misc]simplify: Extracting #5: cost 185 inf + 5922 * * [misc]simplify: Extracting #6: cost 148 inf + 17600 * * [misc]simplify: Extracting #7: cost 98 inf + 43116 * * [misc]simplify: Extracting #8: cost 12 inf + 91341 * * [misc]simplify: Extracting #9: cost 0 inf + 98632 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 782 * * [misc]simplify: Extracting #7: cost 2 inf + 3564 * * [misc]simplify: Extracting #8: cost 0 inf + 4410 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 569 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 52 inf + 0 * * [misc]simplify: Extracting #2: cost 57 inf + 0 * * [misc]simplify: Extracting #3: cost 60 inf + 0 * * [misc]simplify: Extracting #4: cost 66 inf + 0 * * [misc]simplify: Extracting #5: cost 61 inf + 46 * * [misc]simplify: Extracting #6: cost 55 inf + 742 * * [misc]simplify: Extracting #7: cost 45 inf + 4252 * * [misc]simplify: Extracting #8: cost 20 inf + 18542 * * [misc]simplify: Extracting #9: cost 1 inf + 30288 * * [misc]simplify: Extracting #10: cost 0 inf + 31052 * [exit]simplify: Simplified to (* (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1428 * * [misc]simplify: Extracting #8: cost 4 inf + 5494 * * [misc]simplify: Extracting #9: cost 0 inf + 7466 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 570 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 33 inf + 0 * * [misc]simplify: Extracting #2: cost 38 inf + 0 * * [misc]simplify: Extracting #3: cost 41 inf + 0 * * [misc]simplify: Extracting #4: cost 47 inf + 0 * * [misc]simplify: Extracting #5: cost 41 inf + 87 * * [misc]simplify: Extracting #6: cost 28 inf + 3042 * * [misc]simplify: Extracting #7: cost 2 inf + 16740 * * [misc]simplify: Extracting #8: cost 0 inf + 17988 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 782 * * [misc]simplify: Extracting #8: cost 4 inf + 1952 * * [misc]simplify: Extracting #9: cost 0 inf + 4006 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 571 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 35 inf + 0 * * [misc]simplify: Extracting #3: cost 40 inf + 0 * * [misc]simplify: Extracting #4: cost 46 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 87 * * [misc]simplify: Extracting #6: cost 30 inf + 1672 * * [misc]simplify: Extracting #7: cost 24 inf + 3810 * * [misc]simplify: Extracting #8: cost 6 inf + 13912 * * [misc]simplify: Extracting #9: cost 0 inf + 17894 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 498 * * [misc]simplify: Extracting #7: cost 14 inf + 1630 * * [misc]simplify: Extracting #8: cost 8 inf + 3886 * * [misc]simplify: Extracting #9: cost 0 inf + 8310 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 572 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 34 inf + 0 * * [misc]simplify: Extracting #3: cost 37 inf + 0 * * [misc]simplify: Extracting #4: cost 43 inf + 0 * * [misc]simplify: Extracting #5: cost 37 inf + 87 * * [misc]simplify: Extracting #6: cost 29 inf + 1228 * * [misc]simplify: Extracting #7: cost 10 inf + 9690 * * [misc]simplify: Extracting #8: cost 0 inf + 15768 * [exit]simplify: Simplified to (/ (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1428 * * [misc]simplify: Extracting #8: cost 4 inf + 5294 * * [misc]simplify: Extracting #9: cost 0 inf + 7146 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 573 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (311 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 29 inf + 0 * * [misc]simplify: Extracting #2: cost 41 inf + 1 * * [misc]simplify: Extracting #3: cost 44 inf + 1 * * [misc]simplify: Extracting #4: cost 50 inf + 1 * * [misc]simplify: Extracting #5: cost 44 inf + 88 * * [misc]simplify: Extracting #6: cost 35 inf + 1587 * * [misc]simplify: Extracting #7: cost 9 inf + 12177 * * [misc]simplify: Extracting #8: cost 0 inf + 17136 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 454 * * [misc]simplify: Extracting #7: cost 5 inf + 2356 * * [misc]simplify: Extracting #8: cost 0 inf + 4732 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 574 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 34 inf + 0 * * [misc]simplify: Extracting #3: cost 37 inf + 0 * * [misc]simplify: Extracting #4: cost 43 inf + 0 * * [misc]simplify: Extracting #5: cost 37 inf + 87 * * [misc]simplify: Extracting #6: cost 29 inf + 1228 * * [misc]simplify: Extracting #7: cost 10 inf + 9690 * * [misc]simplify: Extracting #8: cost 0 inf + 15768 * [exit]simplify: Simplified to (/ (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1428 * * [misc]simplify: Extracting #8: cost 4 inf + 5294 * * [misc]simplify: Extracting #9: cost 0 inf + 7146 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 575 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (310 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 41 inf + 1 * * [misc]simplify: Extracting #3: cost 44 inf + 1 * * [misc]simplify: Extracting #4: cost 50 inf + 1 * * [misc]simplify: Extracting #5: cost 44 inf + 88 * * [misc]simplify: Extracting #6: cost 36 inf + 1385 * * [misc]simplify: Extracting #7: cost 14 inf + 9719 * * [misc]simplify: Extracting #8: cost 1 inf + 16532 * * [misc]simplify: Extracting #9: cost 0 inf + 17136 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 454 * * [misc]simplify: Extracting #7: cost 5 inf + 2356 * * [misc]simplify: Extracting #8: cost 0 inf + 4732 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 576 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 34 inf + 0 * * [misc]simplify: Extracting #3: cost 37 inf + 0 * * [misc]simplify: Extracting #4: cost 43 inf + 0 * * [misc]simplify: Extracting #5: cost 37 inf + 87 * * [misc]simplify: Extracting #6: cost 29 inf + 1228 * * [misc]simplify: Extracting #7: cost 10 inf + 9690 * * [misc]simplify: Extracting #8: cost 0 inf + 15768 * [exit]simplify: Simplified to (/ (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1428 * * [misc]simplify: Extracting #8: cost 4 inf + 5294 * * [misc]simplify: Extracting #9: cost 0 inf + 7146 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 577 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (315 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 1 * * [misc]simplify: Extracting #3: cost 23 inf + 1 * * [misc]simplify: Extracting #4: cost 29 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 88 * * [misc]simplify: Extracting #6: cost 17 inf + 783 * * [misc]simplify: Extracting #7: cost 6 inf + 4980 * * [misc]simplify: Extracting #8: cost 0 inf + 8082 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 454 * * [misc]simplify: Extracting #7: cost 5 inf + 2356 * * [misc]simplify: Extracting #8: cost 0 inf + 4732 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 578 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (421 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 50 inf + 0 * * [misc]simplify: Extracting #2: cost 54 inf + 0 * * [misc]simplify: Extracting #3: cost 59 inf + 0 * * [misc]simplify: Extracting #4: cost 65 inf + 0 * * [misc]simplify: Extracting #5: cost 59 inf + 87 * * [misc]simplify: Extracting #6: cost 48 inf + 1914 * * [misc]simplify: Extracting #7: cost 22 inf + 16322 * * [misc]simplify: Extracting #8: cost 0 inf + 30726 * [exit]simplify: Simplified to (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 10 inf + 2556 * * [misc]simplify: Extracting #8: cost 1 inf + 7144 * * [misc]simplify: Extracting #9: cost 0 inf + 7908 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 579 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 35 inf + 0 * * [misc]simplify: Extracting #3: cost 40 inf + 0 * * [misc]simplify: Extracting #4: cost 46 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 87 * * [misc]simplify: Extracting #6: cost 33 inf + 1022 * * [misc]simplify: Extracting #7: cost 23 inf + 4574 * * [misc]simplify: Extracting #8: cost 16 inf + 7918 * * [misc]simplify: Extracting #9: cost 6 inf + 13510 * * [misc]simplify: Extracting #10: cost 0 inf + 17894 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (* (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (* (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 2154 * * [misc]simplify: Extracting #8: cost 8 inf + 3966 * * [misc]simplify: Extracting #9: cost 0 inf + 8310 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (* (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 580 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 36 inf + 0 * * [misc]simplify: Extracting #5: cost 31 inf + 46 * * [misc]simplify: Extracting #6: cost 16 inf + 3406 * * [misc]simplify: Extracting #7: cost 2 inf + 10576 * * [misc]simplify: Extracting #8: cost 0 inf + 11944 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 984 * * [misc]simplify: Extracting #8: cost 4 inf + 2154 * * [misc]simplify: Extracting #9: cost 0 inf + 4328 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 581 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 33 inf + 0 * * [misc]simplify: Extracting #3: cost 38 inf + 0 * * [misc]simplify: Extracting #4: cost 44 inf + 0 * * [misc]simplify: Extracting #5: cost 38 inf + 87 * * [misc]simplify: Extracting #6: cost 27 inf + 1914 * * [misc]simplify: Extracting #7: cost 18 inf + 5662 * * [misc]simplify: Extracting #8: cost 0 inf + 16410 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 10 inf + 2556 * * [misc]simplify: Extracting #8: cost 1 inf + 6864 * * [misc]simplify: Extracting #9: cost 0 inf + 7588 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 582 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (207 enodes) * * [misc]simplify: iters left: 1 (368 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 1 * * [misc]simplify: Extracting #3: cost 27 inf + 1 * * [misc]simplify: Extracting #4: cost 33 inf + 1 * * [misc]simplify: Extracting #5: cost 27 inf + 88 * * [misc]simplify: Extracting #6: cost 18 inf + 1467 * * [misc]simplify: Extracting #7: cost 5 inf + 7478 * * [misc]simplify: Extracting #8: cost 0 inf + 9938 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 45 * * [misc]simplify: Extracting #6: cost 11 inf + 898 * * [misc]simplify: Extracting #7: cost 5 inf + 2516 * * [misc]simplify: Extracting #8: cost 0 inf + 5094 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 583 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 33 inf + 0 * * [misc]simplify: Extracting #3: cost 38 inf + 0 * * [misc]simplify: Extracting #4: cost 44 inf + 0 * * [misc]simplify: Extracting #5: cost 38 inf + 87 * * [misc]simplify: Extracting #6: cost 27 inf + 1914 * * [misc]simplify: Extracting #7: cost 18 inf + 5662 * * [misc]simplify: Extracting #8: cost 0 inf + 16410 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 10 inf + 2556 * * [misc]simplify: Extracting #8: cost 1 inf + 6864 * * [misc]simplify: Extracting #9: cost 0 inf + 7588 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 584 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (421 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 44 inf + 0 * * [misc]simplify: Extracting #2: cost 68 inf + 1 * * [misc]simplify: Extracting #3: cost 73 inf + 1 * * [misc]simplify: Extracting #4: cost 79 inf + 1 * * [misc]simplify: Extracting #5: cost 74 inf + 47 * * [misc]simplify: Extracting #6: cost 68 inf + 619 * * [misc]simplify: Extracting #7: cost 50 inf + 4849 * * [misc]simplify: Extracting #8: cost 21 inf + 17530 * * [misc]simplify: Extracting #9: cost 2 inf + 28644 * * [misc]simplify: Extracting #10: cost 0 inf + 29973 * [exit]simplify: Simplified to (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 45 * * [misc]simplify: Extracting #6: cost 11 inf + 898 * * [misc]simplify: Extracting #7: cost 5 inf + 2516 * * [misc]simplify: Extracting #8: cost 0 inf + 5094 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 585 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 33 inf + 0 * * [misc]simplify: Extracting #3: cost 38 inf + 0 * * [misc]simplify: Extracting #4: cost 44 inf + 0 * * [misc]simplify: Extracting #5: cost 38 inf + 87 * * [misc]simplify: Extracting #6: cost 27 inf + 1914 * * [misc]simplify: Extracting #7: cost 18 inf + 5662 * * [misc]simplify: Extracting #8: cost 0 inf + 16410 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 10 inf + 2556 * * [misc]simplify: Extracting #8: cost 1 inf + 6864 * * [misc]simplify: Extracting #9: cost 0 inf + 7588 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 586 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (205 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 1 * * [misc]simplify: Extracting #3: cost 23 inf + 1 * * [misc]simplify: Extracting #4: cost 29 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 88 * * [misc]simplify: Extracting #6: cost 13 inf + 1751 * * [misc]simplify: Extracting #7: cost 2 inf + 6712 * * [misc]simplify: Extracting #8: cost 0 inf + 7800 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 45 * * [misc]simplify: Extracting #6: cost 11 inf + 898 * * [misc]simplify: Extracting #7: cost 5 inf + 2516 * * [misc]simplify: Extracting #8: cost 0 inf + 5094 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 587 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 52 inf + 0 * * [misc]simplify: Extracting #2: cost 55 inf + 0 * * [misc]simplify: Extracting #3: cost 58 inf + 0 * * [misc]simplify: Extracting #4: cost 64 inf + 0 * * [misc]simplify: Extracting #5: cost 58 inf + 87 * * [misc]simplify: Extracting #6: cost 44 inf + 3564 * * [misc]simplify: Extracting #7: cost 7 inf + 23900 * * [misc]simplify: Extracting #8: cost 0 inf + 28328 * * [misc]simplify: Extracting #9: cost 0 inf + 28288 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 9 inf + 2798 * * [misc]simplify: Extracting #8: cost 0 inf + 6664 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 588 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 34 inf + 0 * * [misc]simplify: Extracting #3: cost 37 inf + 0 * * [misc]simplify: Extracting #4: cost 43 inf + 0 * * [misc]simplify: Extracting #5: cost 37 inf + 87 * * [misc]simplify: Extracting #6: cost 28 inf + 1470 * * [misc]simplify: Extracting #7: cost 6 inf + 12186 * * [misc]simplify: Extracting #8: cost 0 inf + 15768 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1670 * * [misc]simplify: Extracting #8: cost 5 inf + 4450 * * [misc]simplify: Extracting #9: cost 0 inf + 7146 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))))) * * * * [misc]progress: [ 589 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 33 inf + 0 * * [misc]simplify: Extracting #3: cost 38 inf + 0 * * [misc]simplify: Extracting #4: cost 44 inf + 0 * * [misc]simplify: Extracting #5: cost 38 inf + 87 * * [misc]simplify: Extracting #6: cost 29 inf + 1430 * * [misc]simplify: Extracting #7: cost 10 inf + 10534 * * [misc]simplify: Extracting #8: cost 0 inf + 16410 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1630 * * [misc]simplify: Extracting #8: cost 8 inf + 3404 * * [misc]simplify: Extracting #9: cost 1 inf + 6864 * * [misc]simplify: Extracting #10: cost 0 inf + 7588 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 590 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 2 * * [misc]simplify: Extracting #4: cost 28 inf + 2 * * [misc]simplify: Extracting #5: cost 22 inf + 89 * * [misc]simplify: Extracting #6: cost 16 inf + 866 * * [misc]simplify: Extracting #7: cost 11 inf + 2482 * * [misc]simplify: Extracting #8: cost 5 inf + 5104 * * [misc]simplify: Extracting #9: cost 0 inf + 7482 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 783 * * [misc]simplify: Extracting #8: cost 3 inf + 2195 * * [misc]simplify: Extracting #9: cost 0 inf + 3445 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 591 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (418 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 1 * * [misc]simplify: Extracting #3: cost 25 inf + 1 * * [misc]simplify: Extracting #4: cost 31 inf + 1 * * [misc]simplify: Extracting #5: cost 25 inf + 88 * * [misc]simplify: Extracting #6: cost 19 inf + 783 * * [misc]simplify: Extracting #7: cost 13 inf + 2846 * * [misc]simplify: Extracting #8: cost 7 inf + 5387 * * [misc]simplify: Extracting #9: cost 0 inf + 9096 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 782 * * [misc]simplify: Extracting #7: cost 2 inf + 3404 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 592 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 2 * * [misc]simplify: Extracting #4: cost 28 inf + 2 * * [misc]simplify: Extracting #5: cost 22 inf + 89 * * [misc]simplify: Extracting #6: cost 16 inf + 866 * * [misc]simplify: Extracting #7: cost 11 inf + 2482 * * [misc]simplify: Extracting #8: cost 5 inf + 5104 * * [misc]simplify: Extracting #9: cost 0 inf + 7482 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 783 * * [misc]simplify: Extracting #8: cost 3 inf + 2195 * * [misc]simplify: Extracting #9: cost 0 inf + 3445 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 593 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (400 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 23 inf + 1 * * [misc]simplify: Extracting #3: cost 26 inf + 1 * * [misc]simplify: Extracting #4: cost 32 inf + 1 * * [misc]simplify: Extracting #5: cost 25 inf + 129 * * [misc]simplify: Extracting #6: cost 20 inf + 781 * * [misc]simplify: Extracting #7: cost 6 inf + 5914 * * [misc]simplify: Extracting #8: cost 0 inf + 9059 * [exit]simplify: Simplified to (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 782 * * [misc]simplify: Extracting #7: cost 2 inf + 3404 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 594 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 2 * * [misc]simplify: Extracting #4: cost 28 inf + 2 * * [misc]simplify: Extracting #5: cost 22 inf + 89 * * [misc]simplify: Extracting #6: cost 16 inf + 866 * * [misc]simplify: Extracting #7: cost 11 inf + 2482 * * [misc]simplify: Extracting #8: cost 5 inf + 5104 * * [misc]simplify: Extracting #9: cost 0 inf + 7482 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 783 * * [misc]simplify: Extracting #8: cost 3 inf + 2195 * * [misc]simplify: Extracting #9: cost 0 inf + 3445 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 595 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (431 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 1 * * [misc]simplify: Extracting #3: cost 24 inf + 1 * * [misc]simplify: Extracting #4: cost 30 inf + 1 * * [misc]simplify: Extracting #5: cost 24 inf + 88 * * [misc]simplify: Extracting #6: cost 19 inf + 579 * * [misc]simplify: Extracting #7: cost 13 inf + 2200 * * [misc]simplify: Extracting #8: cost 0 inf + 8572 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 782 * * [misc]simplify: Extracting #7: cost 2 inf + 3404 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 596 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 64 inf + 0 * * [misc]simplify: Extracting #2: cost 178 inf + 1 * * [misc]simplify: Extracting #3: cost 184 inf + 1 * * [misc]simplify: Extracting #4: cost 190 inf + 1 * * [misc]simplify: Extracting #5: cost 179 inf + 579 * * [misc]simplify: Extracting #6: cost 99 inf + 32475 * * [misc]simplify: Extracting #7: cost 4 inf + 82858 * * [misc]simplify: Extracting #8: cost 0 inf + 85436 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1710 * * [misc]simplify: Extracting #8: cost 0 inf + 4410 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 597 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (240 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 33 inf + 1 * * [misc]simplify: Extracting #3: cost 36 inf + 1 * * [misc]simplify: Extracting #4: cost 42 inf + 1 * * [misc]simplify: Extracting #5: cost 37 inf + 47 * * [misc]simplify: Extracting #6: cost 32 inf + 417 * * [misc]simplify: Extracting #7: cost 24 inf + 2407 * * [misc]simplify: Extracting #8: cost 9 inf + 9424 * * [misc]simplify: Extracting #9: cost 1 inf + 13695 * * [misc]simplify: Extracting #10: cost 0 inf + 14300 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 1024 * * [misc]simplify: Extracting #7: cost 3 inf + 3322 * * [misc]simplify: Extracting #8: cost 0 inf + 4732 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 598 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (285 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 32 inf + 1 * * [misc]simplify: Extracting #3: cost 37 inf + 1 * * [misc]simplify: Extracting #4: cost 43 inf + 1 * * [misc]simplify: Extracting #5: cost 38 inf + 47 * * [misc]simplify: Extracting #6: cost 29 inf + 1477 * * [misc]simplify: Extracting #7: cost 27 inf + 1761 * * [misc]simplify: Extracting #8: cost 14 inf + 7043 * * [misc]simplify: Extracting #9: cost 0 inf + 14699 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (/ (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 170 * * [misc]simplify: Extracting #7: cost 11 inf + 822 * * [misc]simplify: Extracting #8: cost 6 inf + 2276 * * [misc]simplify: Extracting #9: cost 0 inf + 5094 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 599 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (338 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 1 * * [misc]simplify: Extracting #3: cost 25 inf + 1 * * [misc]simplify: Extracting #4: cost 31 inf + 1 * * [misc]simplify: Extracting #5: cost 26 inf + 47 * * [misc]simplify: Extracting #6: cost 18 inf + 1028 * * [misc]simplify: Extracting #7: cost 13 inf + 2968 * * [misc]simplify: Extracting #8: cost 1 inf + 8495 * * [misc]simplify: Extracting #9: cost 0 inf + 8979 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1670 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 600 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 46 * * [misc]simplify: Extracting #6: cost 9 inf + 293 * * [misc]simplify: Extracting #7: cost 5 inf + 985 * * [misc]simplify: Extracting #8: cost 0 inf + 2846 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1912 * * [misc]simplify: Extracting #8: cost 0 inf + 2316 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 601 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (338 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 1 * * [misc]simplify: Extracting #3: cost 25 inf + 1 * * [misc]simplify: Extracting #4: cost 31 inf + 1 * * [misc]simplify: Extracting #5: cost 26 inf + 47 * * [misc]simplify: Extracting #6: cost 18 inf + 1028 * * [misc]simplify: Extracting #7: cost 13 inf + 2968 * * [misc]simplify: Extracting #8: cost 1 inf + 8495 * * [misc]simplify: Extracting #9: cost 0 inf + 8979 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1670 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 602 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 46 * * [misc]simplify: Extracting #6: cost 9 inf + 293 * * [misc]simplify: Extracting #7: cost 5 inf + 985 * * [misc]simplify: Extracting #8: cost 0 inf + 2846 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1912 * * [misc]simplify: Extracting #8: cost 0 inf + 2316 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 603 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (338 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 1 * * [misc]simplify: Extracting #3: cost 25 inf + 1 * * [misc]simplify: Extracting #4: cost 31 inf + 1 * * [misc]simplify: Extracting #5: cost 26 inf + 47 * * [misc]simplify: Extracting #6: cost 18 inf + 1028 * * [misc]simplify: Extracting #7: cost 13 inf + 2968 * * [misc]simplify: Extracting #8: cost 1 inf + 8495 * * [misc]simplify: Extracting #9: cost 0 inf + 8979 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1670 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 604 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 88 * * [misc]simplify: Extracting #6: cost 7 inf + 621 * * [misc]simplify: Extracting #7: cost 1 inf + 2362 * * [misc]simplify: Extracting #8: cost 0 inf + 2846 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1912 * * [misc]simplify: Extracting #8: cost 0 inf + 2316 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 605 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 52 inf + 0 * * [misc]simplify: Extracting #2: cost 55 inf + 0 * * [misc]simplify: Extracting #3: cost 58 inf + 0 * * [misc]simplify: Extracting #4: cost 64 inf + 0 * * [misc]simplify: Extracting #5: cost 58 inf + 87 * * [misc]simplify: Extracting #6: cost 44 inf + 3564 * * [misc]simplify: Extracting #7: cost 7 inf + 23900 * * [misc]simplify: Extracting #8: cost 0 inf + 28328 * * [misc]simplify: Extracting #9: cost 0 inf + 28288 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 9 inf + 2798 * * [misc]simplify: Extracting #8: cost 0 inf + 6664 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 606 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 34 inf + 0 * * [misc]simplify: Extracting #3: cost 37 inf + 0 * * [misc]simplify: Extracting #4: cost 43 inf + 0 * * [misc]simplify: Extracting #5: cost 37 inf + 87 * * [misc]simplify: Extracting #6: cost 28 inf + 1470 * * [misc]simplify: Extracting #7: cost 6 inf + 12186 * * [misc]simplify: Extracting #8: cost 0 inf + 15768 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1670 * * [misc]simplify: Extracting #8: cost 5 inf + 4450 * * [misc]simplify: Extracting #9: cost 0 inf + 7146 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))))) * * * * [misc]progress: [ 607 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 33 inf + 0 * * [misc]simplify: Extracting #3: cost 38 inf + 0 * * [misc]simplify: Extracting #4: cost 44 inf + 0 * * [misc]simplify: Extracting #5: cost 38 inf + 87 * * [misc]simplify: Extracting #6: cost 29 inf + 1430 * * [misc]simplify: Extracting #7: cost 10 inf + 10534 * * [misc]simplify: Extracting #8: cost 0 inf + 16410 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1630 * * [misc]simplify: Extracting #8: cost 8 inf + 3404 * * [misc]simplify: Extracting #9: cost 1 inf + 6864 * * [misc]simplify: Extracting #10: cost 0 inf + 7588 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 608 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 2 * * [misc]simplify: Extracting #4: cost 28 inf + 2 * * [misc]simplify: Extracting #5: cost 22 inf + 89 * * [misc]simplify: Extracting #6: cost 16 inf + 866 * * [misc]simplify: Extracting #7: cost 11 inf + 2482 * * [misc]simplify: Extracting #8: cost 5 inf + 5104 * * [misc]simplify: Extracting #9: cost 0 inf + 7482 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 783 * * [misc]simplify: Extracting #8: cost 3 inf + 2195 * * [misc]simplify: Extracting #9: cost 0 inf + 3445 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 609 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (418 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 1 * * [misc]simplify: Extracting #3: cost 25 inf + 1 * * [misc]simplify: Extracting #4: cost 31 inf + 1 * * [misc]simplify: Extracting #5: cost 25 inf + 88 * * [misc]simplify: Extracting #6: cost 19 inf + 783 * * [misc]simplify: Extracting #7: cost 13 inf + 2846 * * [misc]simplify: Extracting #8: cost 7 inf + 5387 * * [misc]simplify: Extracting #9: cost 0 inf + 9096 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 782 * * [misc]simplify: Extracting #7: cost 2 inf + 3404 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 610 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 2 * * [misc]simplify: Extracting #4: cost 28 inf + 2 * * [misc]simplify: Extracting #5: cost 22 inf + 89 * * [misc]simplify: Extracting #6: cost 16 inf + 866 * * [misc]simplify: Extracting #7: cost 11 inf + 2482 * * [misc]simplify: Extracting #8: cost 5 inf + 5104 * * [misc]simplify: Extracting #9: cost 0 inf + 7482 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 783 * * [misc]simplify: Extracting #8: cost 3 inf + 2195 * * [misc]simplify: Extracting #9: cost 0 inf + 3445 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 611 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (400 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 23 inf + 1 * * [misc]simplify: Extracting #3: cost 26 inf + 1 * * [misc]simplify: Extracting #4: cost 32 inf + 1 * * [misc]simplify: Extracting #5: cost 25 inf + 129 * * [misc]simplify: Extracting #6: cost 20 inf + 781 * * [misc]simplify: Extracting #7: cost 6 inf + 5914 * * [misc]simplify: Extracting #8: cost 0 inf + 9059 * [exit]simplify: Simplified to (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 782 * * [misc]simplify: Extracting #7: cost 2 inf + 3404 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 612 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 2 * * [misc]simplify: Extracting #4: cost 28 inf + 2 * * [misc]simplify: Extracting #5: cost 22 inf + 89 * * [misc]simplify: Extracting #6: cost 16 inf + 866 * * [misc]simplify: Extracting #7: cost 11 inf + 2482 * * [misc]simplify: Extracting #8: cost 5 inf + 5104 * * [misc]simplify: Extracting #9: cost 0 inf + 7482 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 783 * * [misc]simplify: Extracting #8: cost 3 inf + 2195 * * [misc]simplify: Extracting #9: cost 0 inf + 3445 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 613 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (431 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 1 * * [misc]simplify: Extracting #3: cost 24 inf + 1 * * [misc]simplify: Extracting #4: cost 30 inf + 1 * * [misc]simplify: Extracting #5: cost 24 inf + 88 * * [misc]simplify: Extracting #6: cost 19 inf + 579 * * [misc]simplify: Extracting #7: cost 13 inf + 2200 * * [misc]simplify: Extracting #8: cost 0 inf + 8572 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 782 * * [misc]simplify: Extracting #7: cost 2 inf + 3404 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 614 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 97 inf + 0 * * [misc]simplify: Extracting #2: cost 198 inf + 1 * * [misc]simplify: Extracting #3: cost 212 inf + 1 * * [misc]simplify: Extracting #4: cost 218 inf + 1 * * [misc]simplify: Extracting #5: cost 204 inf + 1478 * * [misc]simplify: Extracting #6: cost 170 inf + 9630 * * [misc]simplify: Extracting #7: cost 101 inf + 43191 * * [misc]simplify: Extracting #8: cost 13 inf + 93394 * * [misc]simplify: Extracting #9: cost 0 inf + 101246 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1710 * * [misc]simplify: Extracting #8: cost 0 inf + 4410 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 615 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (260 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 33 inf + 1 * * [misc]simplify: Extracting #3: cost 36 inf + 1 * * [misc]simplify: Extracting #4: cost 42 inf + 1 * * [misc]simplify: Extracting #5: cost 36 inf + 88 * * [misc]simplify: Extracting #6: cost 31 inf + 579 * * [misc]simplify: Extracting #7: cost 19 inf + 4584 * * [misc]simplify: Extracting #8: cost 1 inf + 13380 * * [misc]simplify: Extracting #9: cost 0 inf + 14025 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 1024 * * [misc]simplify: Extracting #7: cost 3 inf + 3322 * * [misc]simplify: Extracting #8: cost 0 inf + 4732 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 616 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 1 * * [misc]simplify: Extracting #3: cost 32 inf + 1 * * [misc]simplify: Extracting #4: cost 38 inf + 1 * * [misc]simplify: Extracting #5: cost 32 inf + 88 * * [misc]simplify: Extracting #6: cost 22 inf + 1676 * * [misc]simplify: Extracting #7: cost 9 inf + 7441 * * [misc]simplify: Extracting #8: cost 0 inf + 13041 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 170 * * [misc]simplify: Extracting #7: cost 11 inf + 822 * * [misc]simplify: Extracting #8: cost 6 inf + 2276 * * [misc]simplify: Extracting #9: cost 0 inf + 5094 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 617 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 1 * * [misc]simplify: Extracting #3: cost 27 inf + 1 * * [misc]simplify: Extracting #4: cost 33 inf + 1 * * [misc]simplify: Extracting #5: cost 27 inf + 88 * * [misc]simplify: Extracting #6: cost 22 inf + 657 * * [misc]simplify: Extracting #7: cost 18 inf + 1509 * * [misc]simplify: Extracting #8: cost 3 inf + 8253 * * [misc]simplify: Extracting #9: cost 0 inf + 9907 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1670 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 618 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 5 inf + 985 * * [misc]simplify: Extracting #7: cost 1 inf + 2362 * * [misc]simplify: Extracting #8: cost 0 inf + 2846 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1912 * * [misc]simplify: Extracting #8: cost 0 inf + 2316 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 619 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 1 * * [misc]simplify: Extracting #3: cost 27 inf + 1 * * [misc]simplify: Extracting #4: cost 33 inf + 1 * * [misc]simplify: Extracting #5: cost 27 inf + 88 * * [misc]simplify: Extracting #6: cost 22 inf + 657 * * [misc]simplify: Extracting #7: cost 18 inf + 1509 * * [misc]simplify: Extracting #8: cost 3 inf + 8253 * * [misc]simplify: Extracting #9: cost 0 inf + 9907 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1670 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 620 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 129 * * [misc]simplify: Extracting #6: cost 5 inf + 1110 * * [misc]simplify: Extracting #7: cost 4 inf + 1272 * * [misc]simplify: Extracting #8: cost 2 inf + 1918 * * [misc]simplify: Extracting #9: cost 0 inf + 2846 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1912 * * [misc]simplify: Extracting #8: cost 0 inf + 2316 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 621 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 1 * * [misc]simplify: Extracting #3: cost 27 inf + 1 * * [misc]simplify: Extracting #4: cost 33 inf + 1 * * [misc]simplify: Extracting #5: cost 27 inf + 88 * * [misc]simplify: Extracting #6: cost 22 inf + 657 * * [misc]simplify: Extracting #7: cost 18 inf + 1509 * * [misc]simplify: Extracting #8: cost 3 inf + 8253 * * [misc]simplify: Extracting #9: cost 0 inf + 9907 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1670 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 622 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 129 * * [misc]simplify: Extracting #6: cost 5 inf + 1110 * * [misc]simplify: Extracting #7: cost 4 inf + 1272 * * [misc]simplify: Extracting #8: cost 1 inf + 2402 * * [misc]simplify: Extracting #9: cost 0 inf + 2846 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1912 * * [misc]simplify: Extracting #8: cost 0 inf + 2316 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 623 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 52 inf + 0 * * [misc]simplify: Extracting #2: cost 55 inf + 0 * * [misc]simplify: Extracting #3: cost 58 inf + 0 * * [misc]simplify: Extracting #4: cost 64 inf + 0 * * [misc]simplify: Extracting #5: cost 58 inf + 87 * * [misc]simplify: Extracting #6: cost 44 inf + 3564 * * [misc]simplify: Extracting #7: cost 7 inf + 23900 * * [misc]simplify: Extracting #8: cost 0 inf + 28328 * * [misc]simplify: Extracting #9: cost 0 inf + 28288 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 9 inf + 2798 * * [misc]simplify: Extracting #8: cost 0 inf + 6664 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 624 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 34 inf + 0 * * [misc]simplify: Extracting #3: cost 37 inf + 0 * * [misc]simplify: Extracting #4: cost 43 inf + 0 * * [misc]simplify: Extracting #5: cost 37 inf + 87 * * [misc]simplify: Extracting #6: cost 28 inf + 1470 * * [misc]simplify: Extracting #7: cost 6 inf + 12186 * * [misc]simplify: Extracting #8: cost 0 inf + 15768 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1670 * * [misc]simplify: Extracting #8: cost 5 inf + 4450 * * [misc]simplify: Extracting #9: cost 0 inf + 7146 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))))) * * * * [misc]progress: [ 625 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 33 inf + 0 * * [misc]simplify: Extracting #3: cost 38 inf + 0 * * [misc]simplify: Extracting #4: cost 44 inf + 0 * * [misc]simplify: Extracting #5: cost 38 inf + 87 * * [misc]simplify: Extracting #6: cost 29 inf + 1430 * * [misc]simplify: Extracting #7: cost 10 inf + 10534 * * [misc]simplify: Extracting #8: cost 0 inf + 16410 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1630 * * [misc]simplify: Extracting #8: cost 8 inf + 3404 * * [misc]simplify: Extracting #9: cost 1 inf + 6864 * * [misc]simplify: Extracting #10: cost 0 inf + 7588 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 626 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 2 * * [misc]simplify: Extracting #4: cost 28 inf + 2 * * [misc]simplify: Extracting #5: cost 22 inf + 89 * * [misc]simplify: Extracting #6: cost 16 inf + 866 * * [misc]simplify: Extracting #7: cost 11 inf + 2482 * * [misc]simplify: Extracting #8: cost 5 inf + 5104 * * [misc]simplify: Extracting #9: cost 0 inf + 7482 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 783 * * [misc]simplify: Extracting #8: cost 3 inf + 2195 * * [misc]simplify: Extracting #9: cost 0 inf + 3445 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 627 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (418 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 1 * * [misc]simplify: Extracting #3: cost 25 inf + 1 * * [misc]simplify: Extracting #4: cost 31 inf + 1 * * [misc]simplify: Extracting #5: cost 25 inf + 88 * * [misc]simplify: Extracting #6: cost 19 inf + 783 * * [misc]simplify: Extracting #7: cost 13 inf + 2846 * * [misc]simplify: Extracting #8: cost 7 inf + 5387 * * [misc]simplify: Extracting #9: cost 0 inf + 9096 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 782 * * [misc]simplify: Extracting #7: cost 2 inf + 3404 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 628 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 2 * * [misc]simplify: Extracting #4: cost 28 inf + 2 * * [misc]simplify: Extracting #5: cost 22 inf + 89 * * [misc]simplify: Extracting #6: cost 16 inf + 866 * * [misc]simplify: Extracting #7: cost 11 inf + 2482 * * [misc]simplify: Extracting #8: cost 5 inf + 5104 * * [misc]simplify: Extracting #9: cost 0 inf + 7482 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 783 * * [misc]simplify: Extracting #8: cost 3 inf + 2195 * * [misc]simplify: Extracting #9: cost 0 inf + 3445 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 629 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (400 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 23 inf + 1 * * [misc]simplify: Extracting #3: cost 26 inf + 1 * * [misc]simplify: Extracting #4: cost 32 inf + 1 * * [misc]simplify: Extracting #5: cost 25 inf + 129 * * [misc]simplify: Extracting #6: cost 20 inf + 781 * * [misc]simplify: Extracting #7: cost 6 inf + 5914 * * [misc]simplify: Extracting #8: cost 0 inf + 9059 * [exit]simplify: Simplified to (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 782 * * [misc]simplify: Extracting #7: cost 2 inf + 3404 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 630 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 2 * * [misc]simplify: Extracting #4: cost 28 inf + 2 * * [misc]simplify: Extracting #5: cost 22 inf + 89 * * [misc]simplify: Extracting #6: cost 16 inf + 866 * * [misc]simplify: Extracting #7: cost 11 inf + 2482 * * [misc]simplify: Extracting #8: cost 5 inf + 5104 * * [misc]simplify: Extracting #9: cost 0 inf + 7482 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 783 * * [misc]simplify: Extracting #8: cost 3 inf + 2195 * * [misc]simplify: Extracting #9: cost 0 inf + 3445 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* d d) (* c c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 631 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (431 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 1 * * [misc]simplify: Extracting #3: cost 24 inf + 1 * * [misc]simplify: Extracting #4: cost 30 inf + 1 * * [misc]simplify: Extracting #5: cost 24 inf + 88 * * [misc]simplify: Extracting #6: cost 19 inf + 579 * * [misc]simplify: Extracting #7: cost 13 inf + 2200 * * [misc]simplify: Extracting #8: cost 0 inf + 8572 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 782 * * [misc]simplify: Extracting #7: cost 2 inf + 3404 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 632 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 78 inf + 0 * * [misc]simplify: Extracting #2: cost 107 inf + 1 * * [misc]simplify: Extracting #3: cost 110 inf + 1 * * [misc]simplify: Extracting #4: cost 116 inf + 1 * * [misc]simplify: Extracting #5: cost 109 inf + 213 * * [misc]simplify: Extracting #6: cost 98 inf + 2643 * * [misc]simplify: Extracting #7: cost 19 inf + 45922 * * [misc]simplify: Extracting #8: cost 0 inf + 57242 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1710 * * [misc]simplify: Extracting #8: cost 0 inf + 4410 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 633 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (250 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 1 * * [misc]simplify: Extracting #3: cost 23 inf + 1 * * [misc]simplify: Extracting #4: cost 29 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 88 * * [misc]simplify: Extracting #6: cost 16 inf + 1027 * * [misc]simplify: Extracting #7: cost 11 inf + 2644 * * [misc]simplify: Extracting #8: cost 1 inf + 7720 * * [misc]simplify: Extracting #9: cost 0 inf + 8082 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 1024 * * [misc]simplify: Extracting #7: cost 3 inf + 3322 * * [misc]simplify: Extracting #8: cost 0 inf + 4732 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 634 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (253 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 1 * * [misc]simplify: Extracting #3: cost 23 inf + 1 * * [misc]simplify: Extracting #4: cost 29 inf + 1 * * [misc]simplify: Extracting #5: cost 24 inf + 47 * * [misc]simplify: Extracting #6: cost 14 inf + 1631 * * [misc]simplify: Extracting #7: cost 2 inf + 6512 * * [misc]simplify: Extracting #8: cost 0 inf + 7800 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 170 * * [misc]simplify: Extracting #7: cost 11 inf + 822 * * [misc]simplify: Extracting #8: cost 6 inf + 2276 * * [misc]simplify: Extracting #9: cost 0 inf + 5094 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 635 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 26 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 88 * * [misc]simplify: Extracting #6: cost 12 inf + 1272 * * [misc]simplify: Extracting #7: cost 7 inf + 3088 * * [misc]simplify: Extracting #8: cost 0 inf + 6474 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1670 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 636 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 6 inf + 781 * * [misc]simplify: Extracting #7: cost 1 inf + 2362 * * [misc]simplify: Extracting #8: cost 0 inf + 2846 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1912 * * [misc]simplify: Extracting #8: cost 0 inf + 2316 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 637 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 26 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 88 * * [misc]simplify: Extracting #6: cost 12 inf + 1272 * * [misc]simplify: Extracting #7: cost 7 inf + 3088 * * [misc]simplify: Extracting #8: cost 0 inf + 6474 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1670 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 638 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 5 inf + 1028 * * [misc]simplify: Extracting #7: cost 0 inf + 2846 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1912 * * [misc]simplify: Extracting #8: cost 0 inf + 2316 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 639 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 26 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 88 * * [misc]simplify: Extracting #6: cost 12 inf + 1272 * * [misc]simplify: Extracting #7: cost 7 inf + 3088 * * [misc]simplify: Extracting #8: cost 0 inf + 6474 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1670 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 640 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 88 * * [misc]simplify: Extracting #6: cost 7 inf + 621 * * [misc]simplify: Extracting #7: cost 3 inf + 1474 * * [misc]simplify: Extracting #8: cost 0 inf + 2846 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1912 * * [misc]simplify: Extracting #8: cost 0 inf + 2316 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 641 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 88 inf + 0 * * [misc]simplify: Extracting #2: cost 202 inf + 1 * * [misc]simplify: Extracting #3: cost 239 inf + 2 * * [misc]simplify: Extracting #4: cost 245 inf + 2 * * [misc]simplify: Extracting #5: cost 234 inf + 580 * * [misc]simplify: Extracting #6: cost 168 inf + 26534 * * [misc]simplify: Extracting #7: cost 29 inf + 97315 * * [misc]simplify: Extracting #8: cost 0 inf + 114558 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 984 * * [misc]simplify: Extracting #8: cost 4 inf + 2234 * * [misc]simplify: Extracting #9: cost 0 inf + 4006 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 642 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 61 inf + 0 * * [misc]simplify: Extracting #2: cost 168 inf + 1 * * [misc]simplify: Extracting #3: cost 182 inf + 1 * * [misc]simplify: Extracting #4: cost 187 inf + 1 * * [misc]simplify: Extracting #5: cost 182 inf + 213 * * [misc]simplify: Extracting #6: cost 144 inf + 9803 * * [misc]simplify: Extracting #7: cost 114 inf + 20296 * * [misc]simplify: Extracting #8: cost 82 inf + 37623 * * [misc]simplify: Extracting #9: cost 11 inf + 78509 * * [misc]simplify: Extracting #10: cost 0 inf + 85314 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1630 * * [misc]simplify: Extracting #8: cost 5 inf + 4610 * * [misc]simplify: Extracting #9: cost 0 inf + 7346 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 643 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 73 inf + 0 * * [misc]simplify: Extracting #2: cost 178 inf + 1 * * [misc]simplify: Extracting #3: cost 210 inf + 1 * * [misc]simplify: Extracting #4: cost 215 inf + 1 * * [misc]simplify: Extracting #5: cost 185 inf + 6331 * * [misc]simplify: Extracting #6: cost 141 inf + 19818 * * [misc]simplify: Extracting #7: cost 67 inf + 60035 * * [misc]simplify: Extracting #8: cost 6 inf + 96275 * * [misc]simplify: Extracting #9: cost 0 inf + 100461 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1590 * * [misc]simplify: Extracting #8: cost 8 inf + 3524 * * [misc]simplify: Extracting #9: cost 2 inf + 6502 * * [misc]simplify: Extracting #10: cost 0 inf + 7788 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 644 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 70 inf + 0 * * [misc]simplify: Extracting #2: cost 176 inf + 1 * * [misc]simplify: Extracting #3: cost 212 inf + 1 * * [misc]simplify: Extracting #4: cost 217 inf + 1 * * [misc]simplify: Extracting #5: cost 187 inf + 6368 * * [misc]simplify: Extracting #6: cost 158 inf + 12847 * * [misc]simplify: Extracting #7: cost 115 inf + 33574 * * [misc]simplify: Extracting #8: cost 6 inf + 93330 * * [misc]simplify: Extracting #9: cost 0 inf + 96795 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1388 * * [misc]simplify: Extracting #8: cost 5 inf + 4248 * * [misc]simplify: Extracting #9: cost 0 inf + 6624 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 645 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (362 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 33 inf + 0 * * [misc]simplify: Extracting #2: cost 143 inf + 1 * * [misc]simplify: Extracting #3: cost 151 inf + 1 * * [misc]simplify: Extracting #4: cost 156 inf + 1 * * [misc]simplify: Extracting #5: cost 152 inf + 89 * * [misc]simplify: Extracting #6: cost 145 inf + 1063 * * [misc]simplify: Extracting #7: cost 118 inf + 11574 * * [misc]simplify: Extracting #8: cost 8 inf + 55807 * * [misc]simplify: Extracting #9: cost 0 inf + 59846 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 2 inf + 5418 * * [misc]simplify: Extracting #9: cost 0 inf + 6102 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 646 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 70 inf + 0 * * [misc]simplify: Extracting #2: cost 176 inf + 1 * * [misc]simplify: Extracting #3: cost 212 inf + 1 * * [misc]simplify: Extracting #4: cost 217 inf + 1 * * [misc]simplify: Extracting #5: cost 187 inf + 6368 * * [misc]simplify: Extracting #6: cost 158 inf + 12847 * * [misc]simplify: Extracting #7: cost 115 inf + 33574 * * [misc]simplify: Extracting #8: cost 6 inf + 93330 * * [misc]simplify: Extracting #9: cost 0 inf + 96795 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1388 * * [misc]simplify: Extracting #8: cost 5 inf + 4248 * * [misc]simplify: Extracting #9: cost 0 inf + 6624 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 647 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (314 enodes) * * [misc]simplify: iters left: 1 (477 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 23 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 47 * * [misc]simplify: Extracting #6: cost 12 inf + 1110 * * [misc]simplify: Extracting #7: cost 4 inf + 4334 * * [misc]simplify: Extracting #8: cost 0 inf + 6511 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 2 inf + 5418 * * [misc]simplify: Extracting #9: cost 0 inf + 6102 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 648 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 70 inf + 0 * * [misc]simplify: Extracting #2: cost 176 inf + 1 * * [misc]simplify: Extracting #3: cost 212 inf + 1 * * [misc]simplify: Extracting #4: cost 217 inf + 1 * * [misc]simplify: Extracting #5: cost 187 inf + 6368 * * [misc]simplify: Extracting #6: cost 158 inf + 12847 * * [misc]simplify: Extracting #7: cost 115 inf + 33574 * * [misc]simplify: Extracting #8: cost 6 inf + 93330 * * [misc]simplify: Extracting #9: cost 0 inf + 96795 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1388 * * [misc]simplify: Extracting #8: cost 5 inf + 4248 * * [misc]simplify: Extracting #9: cost 0 inf + 6624 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 649 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (432 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 1 * * [misc]simplify: Extracting #3: cost 21 inf + 1 * * [misc]simplify: Extracting #4: cost 26 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 47 * * [misc]simplify: Extracting #6: cost 16 inf + 866 * * [misc]simplify: Extracting #7: cost 11 inf + 1964 * * [misc]simplify: Extracting #8: cost 1 inf + 6880 * * [misc]simplify: Extracting #9: cost 0 inf + 7444 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 2 inf + 5418 * * [misc]simplify: Extracting #9: cost 0 inf + 6102 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 650 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (473 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 321 inf + 0 * * [misc]simplify: Extracting #2: cost 660 inf + 1 * * [misc]simplify: Extracting #3: cost 698 inf + 1 * * [misc]simplify: Extracting #4: cost 704 inf + 1 * * [misc]simplify: Extracting #5: cost 699 inf + 213 * * [misc]simplify: Extracting #6: cost 621 inf + 18929 * * [misc]simplify: Extracting #7: cost 501 inf + 72878 * * [misc]simplify: Extracting #8: cost 228 inf + 228793 * * [misc]simplify: Extracting #9: cost 14 inf + 366834 * * [misc]simplify: Extracting #10: cost 0 inf + 375730 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1630 * * [misc]simplify: Extracting #8: cost 5 inf + 4610 * * [misc]simplify: Extracting #9: cost 0 inf + 7346 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 651 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 72 inf + 0 * * [misc]simplify: Extracting #2: cost 161 inf + 1 * * [misc]simplify: Extracting #3: cost 173 inf + 1 * * [misc]simplify: Extracting #4: cost 179 inf + 1 * * [misc]simplify: Extracting #5: cost 172 inf + 213 * * [misc]simplify: Extracting #6: cost 127 inf + 12435 * * [misc]simplify: Extracting #7: cost 51 inf + 47314 * * [misc]simplify: Extracting #8: cost 0 inf + 75404 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 782 * * [misc]simplify: Extracting #8: cost 2 inf + 2798 * * [misc]simplify: Extracting #9: cost 0 inf + 3644 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 652 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 56 inf + 0 * * [misc]simplify: Extracting #2: cost 72 inf + 1 * * [misc]simplify: Extracting #3: cost 77 inf + 1 * * [misc]simplify: Extracting #4: cost 82 inf + 1 * * [misc]simplify: Extracting #5: cost 79 inf + 47 * * [misc]simplify: Extracting #6: cost 75 inf + 295 * * [misc]simplify: Extracting #7: cost 63 inf + 2980 * * [misc]simplify: Extracting #8: cost 48 inf + 9628 * * [misc]simplify: Extracting #9: cost 1 inf + 37254 * * [misc]simplify: Extracting #10: cost 0 inf + 37978 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1630 * * [misc]simplify: Extracting #8: cost 8 inf + 3564 * * [misc]simplify: Extracting #9: cost 2 inf + 6542 * * [misc]simplify: Extracting #10: cost 0 inf + 7828 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 653 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 68 inf + 0 * * [misc]simplify: Extracting #2: cost 81 inf + 1 * * [misc]simplify: Extracting #3: cost 84 inf + 1 * * [misc]simplify: Extracting #4: cost 89 inf + 1 * * [misc]simplify: Extracting #5: cost 86 inf + 47 * * [misc]simplify: Extracting #6: cost 80 inf + 579 * * [misc]simplify: Extracting #7: cost 47 inf + 16145 * * [misc]simplify: Extracting #8: cost 1 inf + 40406 * * [misc]simplify: Extracting #9: cost 0 inf + 41050 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1630 * * [misc]simplify: Extracting #8: cost 5 inf + 4490 * * [misc]simplify: Extracting #9: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 654 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 47 * * [misc]simplify: Extracting #6: cost 11 inf + 295 * * [misc]simplify: Extracting #7: cost 5 inf + 1514 * * [misc]simplify: Extracting #8: cost 0 inf + 3690 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 10 inf + 2114 * * [misc]simplify: Extracting #8: cost 0 inf + 6504 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 655 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 68 inf + 0 * * [misc]simplify: Extracting #2: cost 81 inf + 1 * * [misc]simplify: Extracting #3: cost 84 inf + 1 * * [misc]simplify: Extracting #4: cost 89 inf + 1 * * [misc]simplify: Extracting #5: cost 86 inf + 47 * * [misc]simplify: Extracting #6: cost 80 inf + 579 * * [misc]simplify: Extracting #7: cost 47 inf + 16145 * * [misc]simplify: Extracting #8: cost 1 inf + 40406 * * [misc]simplify: Extracting #9: cost 0 inf + 41050 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1630 * * [misc]simplify: Extracting #8: cost 5 inf + 4490 * * [misc]simplify: Extracting #9: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 656 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 47 * * [misc]simplify: Extracting #6: cost 10 inf + 499 * * [misc]simplify: Extracting #7: cost 5 inf + 1514 * * [misc]simplify: Extracting #8: cost 0 inf + 3690 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 10 inf + 2114 * * [misc]simplify: Extracting #8: cost 0 inf + 6504 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 657 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 68 inf + 0 * * [misc]simplify: Extracting #2: cost 81 inf + 1 * * [misc]simplify: Extracting #3: cost 84 inf + 1 * * [misc]simplify: Extracting #4: cost 89 inf + 1 * * [misc]simplify: Extracting #5: cost 86 inf + 47 * * [misc]simplify: Extracting #6: cost 80 inf + 579 * * [misc]simplify: Extracting #7: cost 47 inf + 16145 * * [misc]simplify: Extracting #8: cost 1 inf + 40406 * * [misc]simplify: Extracting #9: cost 0 inf + 41050 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1630 * * [misc]simplify: Extracting #8: cost 5 inf + 4490 * * [misc]simplify: Extracting #9: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 658 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 47 * * [misc]simplify: Extracting #6: cost 11 inf + 295 * * [misc]simplify: Extracting #7: cost 5 inf + 1514 * * [misc]simplify: Extracting #8: cost 0 inf + 3690 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 10 inf + 2114 * * [misc]simplify: Extracting #8: cost 0 inf + 6504 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 659 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 69 inf + 0 * * [misc]simplify: Extracting #2: cost 172 inf + 1 * * [misc]simplify: Extracting #3: cost 193 inf + 1 * * [misc]simplify: Extracting #4: cost 198 inf + 1 * * [misc]simplify: Extracting #5: cost 184 inf + 2372 * * [misc]simplify: Extracting #6: cost 147 inf + 10837 * * [misc]simplify: Extracting #7: cost 41 inf + 68171 * * [misc]simplify: Extracting #8: cost 2 inf + 93290 * * [misc]simplify: Extracting #9: cost 0 inf + 94818 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1590 * * [misc]simplify: Extracting #8: cost 4 inf + 5616 * * [misc]simplify: Extracting #9: cost 0 inf + 7788 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 660 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (363 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 42 inf + 0 * * [misc]simplify: Extracting #2: cost 72 inf + 1 * * [misc]simplify: Extracting #3: cost 77 inf + 1 * * [misc]simplify: Extracting #4: cost 82 inf + 1 * * [misc]simplify: Extracting #5: cost 79 inf + 47 * * [misc]simplify: Extracting #6: cost 75 inf + 295 * * [misc]simplify: Extracting #7: cost 57 inf + 4518 * * [misc]simplify: Extracting #8: cost 25 inf + 18880 * * [misc]simplify: Extracting #9: cost 3 inf + 32210 * * [misc]simplify: Extracting #10: cost 0 inf + 34103 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1630 * * [misc]simplify: Extracting #8: cost 4 inf + 5656 * * [misc]simplify: Extracting #9: cost 0 inf + 7828 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 661 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (300 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 23 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 88 * * [misc]simplify: Extracting #6: cost 12 inf + 621 * * [misc]simplify: Extracting #7: cost 7 inf + 1796 * * [misc]simplify: Extracting #8: cost 0 inf + 5182 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 984 * * [misc]simplify: Extracting #8: cost 4 inf + 1912 * * [misc]simplify: Extracting #9: cost 0 inf + 3966 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 662 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (381 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 38 inf + 0 * * [misc]simplify: Extracting #2: cost 48 inf + 1 * * [misc]simplify: Extracting #3: cost 53 inf + 1 * * [misc]simplify: Extracting #4: cost 58 inf + 1 * * [misc]simplify: Extracting #5: cost 55 inf + 47 * * [misc]simplify: Extracting #6: cost 45 inf + 1589 * * [misc]simplify: Extracting #7: cost 29 inf + 8567 * * [misc]simplify: Extracting #8: cost 5 inf + 22144 * * [misc]simplify: Extracting #9: cost 0 inf + 25046 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1590 * * [misc]simplify: Extracting #8: cost 4 inf + 5376 * * [misc]simplify: Extracting #9: cost 0 inf + 7468 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 663 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * * [misc]simplify: iters left: 1 (333 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 1 * * [misc]simplify: Extracting #3: cost 29 inf + 1 * * [misc]simplify: Extracting #4: cost 34 inf + 1 * * [misc]simplify: Extracting #5: cost 31 inf + 47 * * [misc]simplify: Extracting #6: cost 23 inf + 1274 * * [misc]simplify: Extracting #7: cost 11 inf + 4241 * * [misc]simplify: Extracting #8: cost 0 inf + 9728 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 2034 * * [misc]simplify: Extracting #8: cost 3 inf + 5256 * * [misc]simplify: Extracting #9: cost 0 inf + 6946 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 664 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (381 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 38 inf + 0 * * [misc]simplify: Extracting #2: cost 48 inf + 1 * * [misc]simplify: Extracting #3: cost 53 inf + 1 * * [misc]simplify: Extracting #4: cost 58 inf + 1 * * [misc]simplify: Extracting #5: cost 55 inf + 47 * * [misc]simplify: Extracting #6: cost 45 inf + 1589 * * [misc]simplify: Extracting #7: cost 29 inf + 8567 * * [misc]simplify: Extracting #8: cost 5 inf + 22144 * * [misc]simplify: Extracting #9: cost 0 inf + 25046 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1590 * * [misc]simplify: Extracting #8: cost 4 inf + 5376 * * [misc]simplify: Extracting #9: cost 0 inf + 7468 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 665 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (352 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 23 inf + 1 * * [misc]simplify: Extracting #3: cost 27 inf + 1 * * [misc]simplify: Extracting #4: cost 32 inf + 1 * * [misc]simplify: Extracting #5: cost 29 inf + 47 * * [misc]simplify: Extracting #6: cost 19 inf + 1681 * * [misc]simplify: Extracting #7: cost 7 inf + 4808 * * [misc]simplify: Extracting #8: cost 0 inf + 8680 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 2034 * * [misc]simplify: Extracting #8: cost 3 inf + 5256 * * [misc]simplify: Extracting #9: cost 0 inf + 6946 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 666 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (381 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 38 inf + 0 * * [misc]simplify: Extracting #2: cost 48 inf + 1 * * [misc]simplify: Extracting #3: cost 53 inf + 1 * * [misc]simplify: Extracting #4: cost 58 inf + 1 * * [misc]simplify: Extracting #5: cost 55 inf + 47 * * [misc]simplify: Extracting #6: cost 45 inf + 1589 * * [misc]simplify: Extracting #7: cost 29 inf + 8567 * * [misc]simplify: Extracting #8: cost 5 inf + 22144 * * [misc]simplify: Extracting #9: cost 0 inf + 25046 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1590 * * [misc]simplify: Extracting #8: cost 4 inf + 5376 * * [misc]simplify: Extracting #9: cost 0 inf + 7468 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 667 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (400 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 5 * * [misc]simplify: Extracting #6: cost 15 inf + 293 * * [misc]simplify: Extracting #7: cost 8 inf + 1797 * * [misc]simplify: Extracting #8: cost 4 inf + 3092 * * [misc]simplify: Extracting #9: cost 0 inf + 5228 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 2034 * * [misc]simplify: Extracting #8: cost 3 inf + 5256 * * [misc]simplify: Extracting #9: cost 0 inf + 6946 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 668 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 74 inf + 0 * * [misc]simplify: Extracting #2: cost 171 inf + 1 * * [misc]simplify: Extracting #3: cost 190 inf + 1 * * [misc]simplify: Extracting #4: cost 195 inf + 1 * * [misc]simplify: Extracting #5: cost 174 inf + 4086 * * [misc]simplify: Extracting #6: cost 148 inf + 9869 * * [misc]simplify: Extracting #7: cost 76 inf + 45702 * * [misc]simplify: Extracting #8: cost 0 inf + 88654 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1388 * * [misc]simplify: Extracting #8: cost 5 inf + 4168 * * [misc]simplify: Extracting #9: cost 0 inf + 6624 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 669 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 51 inf + 0 * * [misc]simplify: Extracting #2: cost 85 inf + 1 * * [misc]simplify: Extracting #3: cost 88 inf + 1 * * [misc]simplify: Extracting #4: cost 93 inf + 1 * * [misc]simplify: Extracting #5: cost 88 inf + 213 * * [misc]simplify: Extracting #6: cost 72 inf + 4101 * * [misc]simplify: Extracting #7: cost 13 inf + 30658 * * [misc]simplify: Extracting #8: cost 0 inf + 37913 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1630 * * [misc]simplify: Extracting #8: cost 5 inf + 4410 * * [misc]simplify: Extracting #9: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 670 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (377 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 43 inf + 0 * * [misc]simplify: Extracting #2: cost 59 inf + 1 * * [misc]simplify: Extracting #3: cost 64 inf + 1 * * [misc]simplify: Extracting #4: cost 69 inf + 1 * * [misc]simplify: Extracting #5: cost 66 inf + 47 * * [misc]simplify: Extracting #6: cost 58 inf + 983 * * [misc]simplify: Extracting #7: cost 40 inf + 8446 * * [misc]simplify: Extracting #8: cost 4 inf + 27833 * * [misc]simplify: Extracting #9: cost 0 inf + 30331 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1590 * * [misc]simplify: Extracting #8: cost 8 inf + 3364 * * [misc]simplify: Extracting #9: cost 2 inf + 6262 * * [misc]simplify: Extracting #10: cost 0 inf + 7468 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 671 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * * [misc]simplify: iters left: 1 (367 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 46 * * [misc]simplify: Extracting #6: cost 13 inf + 293 * * [misc]simplify: Extracting #7: cost 9 inf + 1027 * * [misc]simplify: Extracting #8: cost 5 inf + 2402 * * [misc]simplify: Extracting #9: cost 1 inf + 4056 * * [misc]simplify: Extracting #10: cost 0 inf + 4580 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 782 * * [misc]simplify: Extracting #8: cost 2 inf + 2638 * * [misc]simplify: Extracting #9: cost 0 inf + 3404 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 672 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 47 * * [misc]simplify: Extracting #6: cost 8 inf + 743 * * [misc]simplify: Extracting #7: cost 4 inf + 1474 * * [misc]simplify: Extracting #8: cost 1 inf + 2724 * * [misc]simplify: Extracting #9: cost 0 inf + 3208 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 2 inf + 5178 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 673 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * * [misc]simplify: iters left: 1 (367 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 46 * * [misc]simplify: Extracting #6: cost 13 inf + 293 * * [misc]simplify: Extracting #7: cost 9 inf + 1027 * * [misc]simplify: Extracting #8: cost 5 inf + 2402 * * [misc]simplify: Extracting #9: cost 1 inf + 4056 * * [misc]simplify: Extracting #10: cost 0 inf + 4580 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 782 * * [misc]simplify: Extracting #8: cost 2 inf + 2638 * * [misc]simplify: Extracting #9: cost 0 inf + 3404 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 674 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * * [misc]simplify: iters left: 1 (297 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 47 * * [misc]simplify: Extracting #6: cost 8 inf + 744 * * [misc]simplify: Extracting #7: cost 4 inf + 1474 * * [misc]simplify: Extracting #8: cost 3 inf + 1716 * * [misc]simplify: Extracting #9: cost 0 inf + 3208 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 2 inf + 5178 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 675 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * * [misc]simplify: iters left: 1 (367 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 46 * * [misc]simplify: Extracting #6: cost 13 inf + 293 * * [misc]simplify: Extracting #7: cost 9 inf + 1027 * * [misc]simplify: Extracting #8: cost 5 inf + 2402 * * [misc]simplify: Extracting #9: cost 1 inf + 4056 * * [misc]simplify: Extracting #10: cost 0 inf + 4580 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 782 * * [misc]simplify: Extracting #8: cost 2 inf + 2638 * * [misc]simplify: Extracting #9: cost 0 inf + 3404 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 676 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (323 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 5 * * [misc]simplify: Extracting #6: cost 14 inf + 293 * * [misc]simplify: Extracting #7: cost 5 inf + 2725 * * [misc]simplify: Extracting #8: cost 0 inf + 4666 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 2 inf + 5178 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 677 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (308 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 81 inf + 0 * * [misc]simplify: Extracting #2: cost 172 inf + 1 * * [misc]simplify: Extracting #3: cost 175 inf + 1 * * [misc]simplify: Extracting #4: cost 180 inf + 1 * * [misc]simplify: Extracting #5: cost 177 inf + 47 * * [misc]simplify: Extracting #6: cost 172 inf + 499 * * [misc]simplify: Extracting #7: cost 115 inf + 14361 * * [misc]simplify: Extracting #8: cost 112 inf + 15010 * * [misc]simplify: Extracting #9: cost 51 inf + 47655 * * [misc]simplify: Extracting #10: cost 4 inf + 73687 * * [misc]simplify: Extracting #11: cost 0 inf + 76025 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 4 inf + 4370 * * [misc]simplify: Extracting #9: cost 0 inf + 6102 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 678 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 5 * * [misc]simplify: Extracting #6: cost 12 inf + 171 * * [misc]simplify: Extracting #7: cost 10 inf + 417 * * [misc]simplify: Extracting #8: cost 3 inf + 2320 * * [misc]simplify: Extracting #9: cost 0 inf + 3690 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (/ (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (+ (* b d) (* a c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 9 inf + 2476 * * [misc]simplify: Extracting #8: cost 0 inf + 6504 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (+ (* b d) (* a c))) (/ (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (+ (* b d) (* a c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 679 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 47 * * [misc]simplify: Extracting #6: cost 10 inf + 499 * * [misc]simplify: Extracting #7: cost 7 inf + 1110 * * [misc]simplify: Extracting #8: cost 3 inf + 2078 * * [misc]simplify: Extracting #9: cost 0 inf + 3690 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1832 * * [misc]simplify: Extracting #8: cost 3 inf + 5296 * * [misc]simplify: Extracting #9: cost 0 inf + 6946 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 680 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (212 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 47 * * [misc]simplify: Extracting #6: cost 7 inf + 988 * * [misc]simplify: Extracting #7: cost 6 inf + 1110 * * [misc]simplify: Extracting #8: cost 4 inf + 1474 * * [misc]simplify: Extracting #9: cost 0 inf + 3208 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 4 inf + 4210 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 681 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt 1))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 47 * * [misc]simplify: Extracting #6: cost 1 inf + 662 * * [misc]simplify: Extracting #7: cost 0 inf + 906 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1671 * * [misc]simplify: Extracting #8: cost 0 inf + 3003 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 682 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (212 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 47 * * [misc]simplify: Extracting #6: cost 7 inf + 988 * * [misc]simplify: Extracting #7: cost 6 inf + 1110 * * [misc]simplify: Extracting #8: cost 4 inf + 1474 * * [misc]simplify: Extracting #9: cost 0 inf + 3208 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 4 inf + 4210 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 683 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt 1))) (sqrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 47 * * [misc]simplify: Extracting #6: cost 1 inf + 662 * * [misc]simplify: Extracting #7: cost 0 inf + 906 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1671 * * [misc]simplify: Extracting #8: cost 0 inf + 3003 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 684 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (212 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 47 * * [misc]simplify: Extracting #6: cost 7 inf + 988 * * [misc]simplify: Extracting #7: cost 6 inf + 1110 * * [misc]simplify: Extracting #8: cost 4 inf + 1474 * * [misc]simplify: Extracting #9: cost 0 inf + 3208 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 4 inf + 4210 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 685 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 47 * * [misc]simplify: Extracting #6: cost 1 inf + 662 * * [misc]simplify: Extracting #7: cost 0 inf + 906 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1671 * * [misc]simplify: Extracting #8: cost 0 inf + 3003 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 686 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 74 inf + 0 * * [misc]simplify: Extracting #2: cost 171 inf + 1 * * [misc]simplify: Extracting #3: cost 190 inf + 1 * * [misc]simplify: Extracting #4: cost 195 inf + 1 * * [misc]simplify: Extracting #5: cost 174 inf + 4086 * * [misc]simplify: Extracting #6: cost 148 inf + 9869 * * [misc]simplify: Extracting #7: cost 76 inf + 45702 * * [misc]simplify: Extracting #8: cost 0 inf + 88654 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1388 * * [misc]simplify: Extracting #8: cost 5 inf + 4168 * * [misc]simplify: Extracting #9: cost 0 inf + 6624 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 687 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 51 inf + 0 * * [misc]simplify: Extracting #2: cost 85 inf + 1 * * [misc]simplify: Extracting #3: cost 88 inf + 1 * * [misc]simplify: Extracting #4: cost 93 inf + 1 * * [misc]simplify: Extracting #5: cost 88 inf + 213 * * [misc]simplify: Extracting #6: cost 72 inf + 4101 * * [misc]simplify: Extracting #7: cost 13 inf + 30658 * * [misc]simplify: Extracting #8: cost 0 inf + 37913 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1630 * * [misc]simplify: Extracting #8: cost 5 inf + 4410 * * [misc]simplify: Extracting #9: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 688 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (377 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 43 inf + 0 * * [misc]simplify: Extracting #2: cost 59 inf + 1 * * [misc]simplify: Extracting #3: cost 64 inf + 1 * * [misc]simplify: Extracting #4: cost 69 inf + 1 * * [misc]simplify: Extracting #5: cost 66 inf + 47 * * [misc]simplify: Extracting #6: cost 58 inf + 983 * * [misc]simplify: Extracting #7: cost 40 inf + 8446 * * [misc]simplify: Extracting #8: cost 4 inf + 27833 * * [misc]simplify: Extracting #9: cost 0 inf + 30331 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1590 * * [misc]simplify: Extracting #8: cost 8 inf + 3364 * * [misc]simplify: Extracting #9: cost 2 inf + 6262 * * [misc]simplify: Extracting #10: cost 0 inf + 7468 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 689 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * * [misc]simplify: iters left: 1 (367 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 46 * * [misc]simplify: Extracting #6: cost 13 inf + 293 * * [misc]simplify: Extracting #7: cost 9 inf + 1027 * * [misc]simplify: Extracting #8: cost 5 inf + 2402 * * [misc]simplify: Extracting #9: cost 1 inf + 4056 * * [misc]simplify: Extracting #10: cost 0 inf + 4580 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 782 * * [misc]simplify: Extracting #8: cost 2 inf + 2638 * * [misc]simplify: Extracting #9: cost 0 inf + 3404 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 690 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 47 * * [misc]simplify: Extracting #6: cost 8 inf + 743 * * [misc]simplify: Extracting #7: cost 4 inf + 1474 * * [misc]simplify: Extracting #8: cost 1 inf + 2724 * * [misc]simplify: Extracting #9: cost 0 inf + 3208 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 2 inf + 5178 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 691 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * * [misc]simplify: iters left: 1 (367 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 46 * * [misc]simplify: Extracting #6: cost 13 inf + 293 * * [misc]simplify: Extracting #7: cost 9 inf + 1027 * * [misc]simplify: Extracting #8: cost 5 inf + 2402 * * [misc]simplify: Extracting #9: cost 1 inf + 4056 * * [misc]simplify: Extracting #10: cost 0 inf + 4580 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 782 * * [misc]simplify: Extracting #8: cost 2 inf + 2638 * * [misc]simplify: Extracting #9: cost 0 inf + 3404 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 692 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * * [misc]simplify: iters left: 1 (297 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 47 * * [misc]simplify: Extracting #6: cost 8 inf + 744 * * [misc]simplify: Extracting #7: cost 4 inf + 1474 * * [misc]simplify: Extracting #8: cost 3 inf + 1716 * * [misc]simplify: Extracting #9: cost 0 inf + 3208 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 2 inf + 5178 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 693 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * * [misc]simplify: iters left: 1 (367 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 46 * * [misc]simplify: Extracting #6: cost 13 inf + 293 * * [misc]simplify: Extracting #7: cost 9 inf + 1027 * * [misc]simplify: Extracting #8: cost 5 inf + 2402 * * [misc]simplify: Extracting #9: cost 1 inf + 4056 * * [misc]simplify: Extracting #10: cost 0 inf + 4580 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 782 * * [misc]simplify: Extracting #8: cost 2 inf + 2638 * * [misc]simplify: Extracting #9: cost 0 inf + 3404 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 694 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (323 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 5 * * [misc]simplify: Extracting #6: cost 14 inf + 293 * * [misc]simplify: Extracting #7: cost 5 inf + 2725 * * [misc]simplify: Extracting #8: cost 0 inf + 4666 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 2 inf + 5178 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 695 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (436 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 1 * * [misc]simplify: Extracting #3: cost 24 inf + 1 * * [misc]simplify: Extracting #4: cost 29 inf + 1 * * [misc]simplify: Extracting #5: cost 26 inf + 47 * * [misc]simplify: Extracting #6: cost 21 inf + 499 * * [misc]simplify: Extracting #7: cost 17 inf + 1272 * * [misc]simplify: Extracting #8: cost 10 inf + 4294 * * [misc]simplify: Extracting #9: cost 0 inf + 9895 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 4 inf + 4370 * * [misc]simplify: Extracting #9: cost 0 inf + 6102 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 696 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 47 * * [misc]simplify: Extracting #6: cost 8 inf + 866 * * [misc]simplify: Extracting #7: cost 6 inf + 1272 * * [misc]simplify: Extracting #8: cost 0 inf + 3690 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 9 inf + 2476 * * [misc]simplify: Extracting #8: cost 0 inf + 6504 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 697 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 5 * * [misc]simplify: Extracting #6: cost 12 inf + 293 * * [misc]simplify: Extracting #7: cost 4 inf + 2080 * * [misc]simplify: Extracting #8: cost 0 inf + 3934 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1832 * * [misc]simplify: Extracting #8: cost 3 inf + 5296 * * [misc]simplify: Extracting #9: cost 0 inf + 6946 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 698 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 47 * * [misc]simplify: Extracting #6: cost 7 inf + 865 * * [misc]simplify: Extracting #7: cost 5 inf + 1272 * * [misc]simplify: Extracting #8: cost 2 inf + 2200 * * [misc]simplify: Extracting #9: cost 0 inf + 3208 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 4 inf + 4210 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 699 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt 1)) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 6 inf + 5 * * [misc]simplify: Extracting #6: cost 1 inf + 661 * * [misc]simplify: Extracting #7: cost 0 inf + 906 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1671 * * [misc]simplify: Extracting #8: cost 0 inf + 3003 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 700 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 47 * * [misc]simplify: Extracting #6: cost 7 inf + 865 * * [misc]simplify: Extracting #7: cost 5 inf + 1272 * * [misc]simplify: Extracting #8: cost 2 inf + 2200 * * [misc]simplify: Extracting #9: cost 0 inf + 3208 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 4 inf + 4210 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 701 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 47 * * [misc]simplify: Extracting #6: cost 4 inf + 89 * * [misc]simplify: Extracting #7: cost 0 inf + 906 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1671 * * [misc]simplify: Extracting #8: cost 0 inf + 3003 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 702 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 47 * * [misc]simplify: Extracting #6: cost 7 inf + 865 * * [misc]simplify: Extracting #7: cost 5 inf + 1272 * * [misc]simplify: Extracting #8: cost 2 inf + 2200 * * [misc]simplify: Extracting #9: cost 0 inf + 3208 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 4 inf + 4210 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 703 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 47 * * [misc]simplify: Extracting #6: cost 4 inf + 89 * * [misc]simplify: Extracting #7: cost 0 inf + 906 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1671 * * [misc]simplify: Extracting #8: cost 0 inf + 3003 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 704 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 74 inf + 0 * * [misc]simplify: Extracting #2: cost 171 inf + 1 * * [misc]simplify: Extracting #3: cost 190 inf + 1 * * [misc]simplify: Extracting #4: cost 195 inf + 1 * * [misc]simplify: Extracting #5: cost 174 inf + 4086 * * [misc]simplify: Extracting #6: cost 148 inf + 9869 * * [misc]simplify: Extracting #7: cost 76 inf + 45702 * * [misc]simplify: Extracting #8: cost 0 inf + 88654 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1388 * * [misc]simplify: Extracting #8: cost 5 inf + 4168 * * [misc]simplify: Extracting #9: cost 0 inf + 6624 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 705 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 51 inf + 0 * * [misc]simplify: Extracting #2: cost 85 inf + 1 * * [misc]simplify: Extracting #3: cost 88 inf + 1 * * [misc]simplify: Extracting #4: cost 93 inf + 1 * * [misc]simplify: Extracting #5: cost 88 inf + 213 * * [misc]simplify: Extracting #6: cost 72 inf + 4101 * * [misc]simplify: Extracting #7: cost 13 inf + 30658 * * [misc]simplify: Extracting #8: cost 0 inf + 37913 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 12 inf + 1630 * * [misc]simplify: Extracting #8: cost 5 inf + 4410 * * [misc]simplify: Extracting #9: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 706 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (377 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 43 inf + 0 * * [misc]simplify: Extracting #2: cost 59 inf + 1 * * [misc]simplify: Extracting #3: cost 64 inf + 1 * * [misc]simplify: Extracting #4: cost 69 inf + 1 * * [misc]simplify: Extracting #5: cost 66 inf + 47 * * [misc]simplify: Extracting #6: cost 58 inf + 983 * * [misc]simplify: Extracting #7: cost 40 inf + 8446 * * [misc]simplify: Extracting #8: cost 4 inf + 27833 * * [misc]simplify: Extracting #9: cost 0 inf + 30331 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 498 * * [misc]simplify: Extracting #7: cost 13 inf + 1590 * * [misc]simplify: Extracting #8: cost 8 inf + 3364 * * [misc]simplify: Extracting #9: cost 2 inf + 6262 * * [misc]simplify: Extracting #10: cost 0 inf + 7468 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 707 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * * [misc]simplify: iters left: 1 (367 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 46 * * [misc]simplify: Extracting #6: cost 13 inf + 293 * * [misc]simplify: Extracting #7: cost 9 inf + 1027 * * [misc]simplify: Extracting #8: cost 5 inf + 2402 * * [misc]simplify: Extracting #9: cost 1 inf + 4056 * * [misc]simplify: Extracting #10: cost 0 inf + 4580 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 782 * * [misc]simplify: Extracting #8: cost 2 inf + 2638 * * [misc]simplify: Extracting #9: cost 0 inf + 3404 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 708 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (263 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 47 * * [misc]simplify: Extracting #6: cost 8 inf + 743 * * [misc]simplify: Extracting #7: cost 4 inf + 1474 * * [misc]simplify: Extracting #8: cost 1 inf + 2724 * * [misc]simplify: Extracting #9: cost 0 inf + 3208 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 2 inf + 5178 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 709 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * * [misc]simplify: iters left: 1 (367 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 46 * * [misc]simplify: Extracting #6: cost 13 inf + 293 * * [misc]simplify: Extracting #7: cost 9 inf + 1027 * * [misc]simplify: Extracting #8: cost 5 inf + 2402 * * [misc]simplify: Extracting #9: cost 1 inf + 4056 * * [misc]simplify: Extracting #10: cost 0 inf + 4580 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 782 * * [misc]simplify: Extracting #8: cost 2 inf + 2638 * * [misc]simplify: Extracting #9: cost 0 inf + 3404 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 710 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * * [misc]simplify: iters left: 1 (297 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 47 * * [misc]simplify: Extracting #6: cost 8 inf + 744 * * [misc]simplify: Extracting #7: cost 4 inf + 1474 * * [misc]simplify: Extracting #8: cost 3 inf + 1716 * * [misc]simplify: Extracting #9: cost 0 inf + 3208 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 2 inf + 5178 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 711 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * * [misc]simplify: iters left: 1 (367 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 46 * * [misc]simplify: Extracting #6: cost 13 inf + 293 * * [misc]simplify: Extracting #7: cost 9 inf + 1027 * * [misc]simplify: Extracting #8: cost 5 inf + 2402 * * [misc]simplify: Extracting #9: cost 1 inf + 4056 * * [misc]simplify: Extracting #10: cost 0 inf + 4580 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 782 * * [misc]simplify: Extracting #8: cost 2 inf + 2638 * * [misc]simplify: Extracting #9: cost 0 inf + 3404 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 712 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (323 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 5 * * [misc]simplify: Extracting #6: cost 14 inf + 293 * * [misc]simplify: Extracting #7: cost 5 inf + 2725 * * [misc]simplify: Extracting #8: cost 0 inf + 4666 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 2 inf + 5178 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 713 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (320 enodes) * * [misc]simplify: iters left: 1 (375 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 5 * * [misc]simplify: Extracting #6: cost 15 inf + 171 * * [misc]simplify: Extracting #7: cost 9 inf + 1230 * * [misc]simplify: Extracting #8: cost 3 inf + 3690 * * [misc]simplify: Extracting #9: cost 0 inf + 5382 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 4 inf + 4370 * * [misc]simplify: Extracting #9: cost 0 inf + 6102 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 714 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 5 * * [misc]simplify: Extracting #6: cost 10 inf + 455 * * [misc]simplify: Extracting #7: cost 6 inf + 1307 * * [misc]simplify: Extracting #8: cost 1 inf + 3126 * * [misc]simplify: Extracting #9: cost 0 inf + 3690 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 498 * * [misc]simplify: Extracting #7: cost 9 inf + 2476 * * [misc]simplify: Extracting #8: cost 0 inf + 6504 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 715 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 5 * * [misc]simplify: Extracting #6: cost 10 inf + 495 * * [misc]simplify: Extracting #7: cost 5 inf + 1589 * * [misc]simplify: Extracting #8: cost 0 inf + 3690 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1832 * * [misc]simplify: Extracting #8: cost 3 inf + 5296 * * [misc]simplify: Extracting #9: cost 0 inf + 6946 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 716 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 47 * * [misc]simplify: Extracting #6: cost 9 inf + 499 * * [misc]simplify: Extracting #7: cost 5 inf + 1272 * * [misc]simplify: Extracting #8: cost 4 inf + 1474 * * [misc]simplify: Extracting #9: cost 0 inf + 3208 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 4 inf + 4210 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 717 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) 1) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 6 inf + 5 * * [misc]simplify: Extracting #6: cost 1 inf + 661 * * [misc]simplify: Extracting #7: cost 0 inf + 906 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1671 * * [misc]simplify: Extracting #8: cost 0 inf + 3003 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 718 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 47 * * [misc]simplify: Extracting #6: cost 9 inf + 499 * * [misc]simplify: Extracting #7: cost 5 inf + 1272 * * [misc]simplify: Extracting #8: cost 4 inf + 1474 * * [misc]simplify: Extracting #9: cost 0 inf + 3208 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 4 inf + 4210 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 719 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 6 inf + 5 * * [misc]simplify: Extracting #6: cost 0 inf + 906 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1671 * * [misc]simplify: Extracting #8: cost 0 inf + 3003 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 720 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 47 * * [misc]simplify: Extracting #6: cost 9 inf + 499 * * [misc]simplify: Extracting #7: cost 5 inf + 1272 * * [misc]simplify: Extracting #8: cost 4 inf + 1474 * * [misc]simplify: Extracting #9: cost 0 inf + 3208 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 498 * * [misc]simplify: Extracting #7: cost 11 inf + 1388 * * [misc]simplify: Extracting #8: cost 4 inf + 4210 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 721 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) 1) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 47 * * [misc]simplify: Extracting #6: cost 1 inf + 662 * * [misc]simplify: Extracting #7: cost 0 inf + 906 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1671 * * [misc]simplify: Extracting #8: cost 0 inf + 3003 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 722 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 26 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 1 * * [misc]simplify: Extracting #4: cost 30 inf + 2 * * [misc]simplify: Extracting #5: cost 36 inf + 2 * * [misc]simplify: Extracting #6: cost 31 inf + 48 * * [misc]simplify: Extracting #7: cost 26 inf + 460 * * [misc]simplify: Extracting #8: cost 18 inf + 2840 * * [misc]simplify: Extracting #9: cost 2 inf + 10370 * * [misc]simplify: Extracting #10: cost 0 inf + 11456 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 87 * * [misc]simplify: Extracting #7: cost 9 inf + 742 * * [misc]simplify: Extracting #8: cost 5 inf + 1912 * * [misc]simplify: Extracting #9: cost 1 inf + 3724 * * [misc]simplify: Extracting #10: cost 0 inf + 4368 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 723 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 37 inf + 0 * * [misc]simplify: Extracting #2: cost 40 inf + 0 * * [misc]simplify: Extracting #3: cost 43 inf + 0 * * [misc]simplify: Extracting #4: cost 49 inf + 0 * * [misc]simplify: Extracting #5: cost 43 inf + 87 * * [misc]simplify: Extracting #6: cost 39 inf + 458 * * [misc]simplify: Extracting #7: cost 30 inf + 3322 * * [misc]simplify: Extracting #8: cost 9 inf + 14428 * * [misc]simplify: Extracting #9: cost 0 inf + 19374 * * [misc]simplify: Extracting #10: cost 0 inf + 19334 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1428 * * [misc]simplify: Extracting #8: cost 4 inf + 5334 * * [misc]simplify: Extracting #9: cost 0 inf + 7266 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 724 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 37 inf + 0 * * [misc]simplify: Extracting #2: cost 41 inf + 0 * * [misc]simplify: Extracting #3: cost 46 inf + 0 * * [misc]simplify: Extracting #4: cost 52 inf + 0 * * [misc]simplify: Extracting #5: cost 46 inf + 87 * * [misc]simplify: Extracting #6: cost 42 inf + 458 * * [misc]simplify: Extracting #7: cost 32 inf + 3122 * * [misc]simplify: Extracting #8: cost 17 inf + 10404 * * [misc]simplify: Extracting #9: cost 0 inf + 21860 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 14 inf + 1630 * * [misc]simplify: Extracting #8: cost 8 inf + 3846 * * [misc]simplify: Extracting #9: cost 0 inf + 8270 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 725 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 37 inf + 0 * * [misc]simplify: Extracting #2: cost 40 inf + 0 * * [misc]simplify: Extracting #3: cost 43 inf + 0 * * [misc]simplify: Extracting #4: cost 49 inf + 0 * * [misc]simplify: Extracting #5: cost 43 inf + 87 * * [misc]simplify: Extracting #6: cost 39 inf + 458 * * [misc]simplify: Extracting #7: cost 31 inf + 2636 * * [misc]simplify: Extracting #8: cost 3 inf + 17444 * * [misc]simplify: Extracting #9: cost 0 inf + 19094 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1428 * * [misc]simplify: Extracting #8: cost 4 inf + 5094 * * [misc]simplify: Extracting #9: cost 0 inf + 7106 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 726 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 29 inf + 1 * * [misc]simplify: Extracting #3: cost 32 inf + 1 * * [misc]simplify: Extracting #4: cost 38 inf + 1 * * [misc]simplify: Extracting #5: cost 32 inf + 88 * * [misc]simplify: Extracting #6: cost 28 inf + 459 * * [misc]simplify: Extracting #7: cost 23 inf + 1631 * * [misc]simplify: Extracting #8: cost 15 inf + 5342 * * [misc]simplify: Extracting #9: cost 0 inf + 13352 * * [misc]simplify: Extracting #10: cost 0 inf + 13312 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1428 * * [misc]simplify: Extracting #8: cost 2 inf + 5820 * * [misc]simplify: Extracting #9: cost 0 inf + 6584 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 727 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 37 inf + 0 * * [misc]simplify: Extracting #2: cost 40 inf + 0 * * [misc]simplify: Extracting #3: cost 43 inf + 0 * * [misc]simplify: Extracting #4: cost 49 inf + 0 * * [misc]simplify: Extracting #5: cost 43 inf + 87 * * [misc]simplify: Extracting #6: cost 39 inf + 458 * * [misc]simplify: Extracting #7: cost 31 inf + 2636 * * [misc]simplify: Extracting #8: cost 3 inf + 17444 * * [misc]simplify: Extracting #9: cost 0 inf + 19094 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1428 * * [misc]simplify: Extracting #8: cost 4 inf + 5094 * * [misc]simplify: Extracting #9: cost 0 inf + 7106 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 728 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 20 inf + 0 * * [misc]simplify: Extracting #2: cost 23 inf + 1 * * [misc]simplify: Extracting #3: cost 26 inf + 1 * * [misc]simplify: Extracting #4: cost 32 inf + 1 * * [misc]simplify: Extracting #5: cost 26 inf + 88 * * [misc]simplify: Extracting #6: cost 22 inf + 459 * * [misc]simplify: Extracting #7: cost 11 inf + 4209 * * [misc]simplify: Extracting #8: cost 0 inf + 10085 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1428 * * [misc]simplify: Extracting #8: cost 2 inf + 5820 * * [misc]simplify: Extracting #9: cost 0 inf + 6584 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 729 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 37 inf + 0 * * [misc]simplify: Extracting #2: cost 40 inf + 0 * * [misc]simplify: Extracting #3: cost 43 inf + 0 * * [misc]simplify: Extracting #4: cost 49 inf + 0 * * [misc]simplify: Extracting #5: cost 43 inf + 87 * * [misc]simplify: Extracting #6: cost 39 inf + 458 * * [misc]simplify: Extracting #7: cost 31 inf + 2636 * * [misc]simplify: Extracting #8: cost 3 inf + 17444 * * [misc]simplify: Extracting #9: cost 0 inf + 19094 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1428 * * [misc]simplify: Extracting #8: cost 4 inf + 5094 * * [misc]simplify: Extracting #9: cost 0 inf + 7106 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 730 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 20 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 1 * * [misc]simplify: Extracting #3: cost 25 inf + 1 * * [misc]simplify: Extracting #4: cost 31 inf + 1 * * [misc]simplify: Extracting #5: cost 25 inf + 88 * * [misc]simplify: Extracting #6: cost 21 inf + 459 * * [misc]simplify: Extracting #7: cost 17 inf + 1187 * * [misc]simplify: Extracting #8: cost 7 inf + 5739 * * [misc]simplify: Extracting #9: cost 0 inf + 9401 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1428 * * [misc]simplify: Extracting #8: cost 2 inf + 5820 * * [misc]simplify: Extracting #9: cost 0 inf + 6584 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 731 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 37 inf + 0 * * [misc]simplify: Extracting #2: cost 47 inf + 0 * * [misc]simplify: Extracting #3: cost 50 inf + 0 * * [misc]simplify: Extracting #4: cost 56 inf + 0 * * [misc]simplify: Extracting #5: cost 50 inf + 87 * * [misc]simplify: Extracting #6: cost 46 inf + 458 * * [misc]simplify: Extracting #7: cost 36 inf + 3564 * * [misc]simplify: Extracting #8: cost 9 inf + 18046 * * [misc]simplify: Extracting #9: cost 0 inf + 23194 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1630 * * [misc]simplify: Extracting #8: cost 5 inf + 4490 * * [misc]simplify: Extracting #9: cost 0 inf + 7266 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))))) * * * * [misc]progress: [ 732 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 88 * * [misc]simplify: Extracting #7: cost 13 inf + 459 * * [misc]simplify: Extracting #8: cost 10 inf + 985 * * [misc]simplify: Extracting #9: cost 3 inf + 3887 * * [misc]simplify: Extracting #10: cost 0 inf + 5297 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2235 * * [misc]simplify: Extracting #9: cost 0 inf + 3525 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 733 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 26 inf + 0 * * [misc]simplify: Extracting #3: cost 31 inf + 0 * * [misc]simplify: Extracting #4: cost 37 inf + 0 * * [misc]simplify: Extracting #5: cost 31 inf + 87 * * [misc]simplify: Extracting #6: cost 27 inf + 458 * * [misc]simplify: Extracting #7: cost 21 inf + 1912 * * [misc]simplify: Extracting #8: cost 12 inf + 5176 * * [misc]simplify: Extracting #9: cost 0 inf + 12174 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (* (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (* (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1630 * * [misc]simplify: Extracting #8: cost 8 inf + 3484 * * [misc]simplify: Extracting #9: cost 1 inf + 7024 * * [misc]simplify: Extracting #10: cost 0 inf + 7748 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (* (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 734 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 26 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 35 inf + 0 * * [misc]simplify: Extracting #5: cost 29 inf + 87 * * [misc]simplify: Extracting #6: cost 25 inf + 458 * * [misc]simplify: Extracting #7: cost 20 inf + 1468 * * [misc]simplify: Extracting #8: cost 8 inf + 6746 * * [misc]simplify: Extracting #9: cost 0 inf + 10810 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1630 * * [misc]simplify: Extracting #8: cost 5 inf + 4370 * * [misc]simplify: Extracting #9: cost 0 inf + 6946 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))))) * * * * [misc]progress: [ 735 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 23 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 88 * * [misc]simplify: Extracting #6: cost 13 inf + 459 * * [misc]simplify: Extracting #7: cost 11 inf + 743 * * [misc]simplify: Extracting #8: cost 2 inf + 4007 * * [misc]simplify: Extracting #9: cost 0 inf + 5015 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 9 inf + 2558 * * [misc]simplify: Extracting #8: cost 0 inf + 6424 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 736 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 26 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 35 inf + 0 * * [misc]simplify: Extracting #5: cost 29 inf + 87 * * [misc]simplify: Extracting #6: cost 25 inf + 458 * * [misc]simplify: Extracting #7: cost 20 inf + 1468 * * [misc]simplify: Extracting #8: cost 8 inf + 6746 * * [misc]simplify: Extracting #9: cost 0 inf + 10810 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1630 * * [misc]simplify: Extracting #8: cost 5 inf + 4370 * * [misc]simplify: Extracting #9: cost 0 inf + 6946 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))))) * * * * [misc]progress: [ 737 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 23 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 88 * * [misc]simplify: Extracting #6: cost 13 inf + 459 * * [misc]simplify: Extracting #7: cost 10 inf + 985 * * [misc]simplify: Extracting #8: cost 4 inf + 3323 * * [misc]simplify: Extracting #9: cost 0 inf + 5015 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 9 inf + 2558 * * [misc]simplify: Extracting #8: cost 0 inf + 6424 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 738 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 26 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 35 inf + 0 * * [misc]simplify: Extracting #5: cost 29 inf + 87 * * [misc]simplify: Extracting #6: cost 25 inf + 458 * * [misc]simplify: Extracting #7: cost 20 inf + 1468 * * [misc]simplify: Extracting #8: cost 8 inf + 6746 * * [misc]simplify: Extracting #9: cost 0 inf + 10810 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1630 * * [misc]simplify: Extracting #8: cost 5 inf + 4370 * * [misc]simplify: Extracting #9: cost 0 inf + 6946 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))))) * * * * [misc]progress: [ 739 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 23 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 88 * * [misc]simplify: Extracting #6: cost 13 inf + 459 * * [misc]simplify: Extracting #7: cost 11 inf + 743 * * [misc]simplify: Extracting #8: cost 5 inf + 3041 * * [misc]simplify: Extracting #9: cost 0 inf + 5015 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 9 inf + 2558 * * [misc]simplify: Extracting #8: cost 0 inf + 6424 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 740 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 36 inf + 0 * * [misc]simplify: Extracting #2: cost 41 inf + 0 * * [misc]simplify: Extracting #3: cost 46 inf + 0 * * [misc]simplify: Extracting #4: cost 52 inf + 0 * * [misc]simplify: Extracting #5: cost 46 inf + 87 * * [misc]simplify: Extracting #6: cost 42 inf + 458 * * [misc]simplify: Extracting #7: cost 33 inf + 2638 * * [misc]simplify: Extracting #8: cost 6 inf + 17956 * * [misc]simplify: Extracting #9: cost 0 inf + 21538 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 2154 * * [misc]simplify: Extracting #8: cost 8 inf + 3926 * * [misc]simplify: Extracting #9: cost 0 inf + 8270 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 741 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 26 inf + 0 * * [misc]simplify: Extracting #3: cost 31 inf + 0 * * [misc]simplify: Extracting #4: cost 37 inf + 0 * * [misc]simplify: Extracting #5: cost 32 inf + 46 * * [misc]simplify: Extracting #6: cost 27 inf + 458 * * [misc]simplify: Extracting #7: cost 17 inf + 3242 * * [misc]simplify: Extracting #8: cost 2 inf + 11006 * * [misc]simplify: Extracting #9: cost 0 inf + 12174 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 10 inf + 2596 * * [misc]simplify: Extracting #8: cost 1 inf + 7024 * * [misc]simplify: Extracting #9: cost 0 inf + 7748 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 742 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 26 inf + 0 * * [misc]simplify: Extracting #6: cost 20 inf + 87 * * [misc]simplify: Extracting #7: cost 16 inf + 458 * * [misc]simplify: Extracting #8: cost 9 inf + 1952 * * [misc]simplify: Extracting #9: cost 1 inf + 5858 * * [misc]simplify: Extracting #10: cost 0 inf + 6542 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 944 * * [misc]simplify: Extracting #8: cost 4 inf + 2154 * * [misc]simplify: Extracting #9: cost 0 inf + 4328 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 743 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 0 * * [misc]simplify: Extracting #3: cost 32 inf + 0 * * [misc]simplify: Extracting #4: cost 38 inf + 0 * * [misc]simplify: Extracting #5: cost 32 inf + 87 * * [misc]simplify: Extracting #6: cost 28 inf + 458 * * [misc]simplify: Extracting #7: cost 19 inf + 2598 * * [misc]simplify: Extracting #8: cost 10 inf + 6904 * * [misc]simplify: Extracting #9: cost 0 inf + 12536 * [exit]simplify: Simplified to (/ (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 2154 * * [misc]simplify: Extracting #8: cost 8 inf + 3926 * * [misc]simplify: Extracting #9: cost 0 inf + 7950 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 744 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 21 inf + 1 * * [misc]simplify: Extracting #4: cost 27 inf + 1 * * [misc]simplify: Extracting #5: cost 21 inf + 88 * * [misc]simplify: Extracting #6: cost 17 inf + 459 * * [misc]simplify: Extracting #7: cost 11 inf + 1671 * * [misc]simplify: Extracting #8: cost 1 inf + 6141 * * [misc]simplify: Extracting #9: cost 0 inf + 6825 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 10 inf + 2596 * * [misc]simplify: Extracting #8: cost 1 inf + 6704 * * [misc]simplify: Extracting #9: cost 0 inf + 7428 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 745 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 0 * * [misc]simplify: Extracting #3: cost 32 inf + 0 * * [misc]simplify: Extracting #4: cost 38 inf + 0 * * [misc]simplify: Extracting #5: cost 32 inf + 87 * * [misc]simplify: Extracting #6: cost 28 inf + 458 * * [misc]simplify: Extracting #7: cost 19 inf + 2598 * * [misc]simplify: Extracting #8: cost 10 inf + 6904 * * [misc]simplify: Extracting #9: cost 0 inf + 12536 * [exit]simplify: Simplified to (/ (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 2154 * * [misc]simplify: Extracting #8: cost 8 inf + 3926 * * [misc]simplify: Extracting #9: cost 0 inf + 7950 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 746 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 26 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 88 * * [misc]simplify: Extracting #6: cost 16 inf + 459 * * [misc]simplify: Extracting #7: cost 9 inf + 1953 * * [misc]simplify: Extracting #8: cost 0 inf + 6181 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 10 inf + 2596 * * [misc]simplify: Extracting #8: cost 1 inf + 6704 * * [misc]simplify: Extracting #9: cost 0 inf + 7428 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 747 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 0 * * [misc]simplify: Extracting #3: cost 32 inf + 0 * * [misc]simplify: Extracting #4: cost 38 inf + 0 * * [misc]simplify: Extracting #5: cost 32 inf + 87 * * [misc]simplify: Extracting #6: cost 28 inf + 458 * * [misc]simplify: Extracting #7: cost 19 inf + 2598 * * [misc]simplify: Extracting #8: cost 10 inf + 6904 * * [misc]simplify: Extracting #9: cost 0 inf + 12536 * [exit]simplify: Simplified to (/ (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 2154 * * [misc]simplify: Extracting #8: cost 8 inf + 3926 * * [misc]simplify: Extracting #9: cost 0 inf + 7950 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 748 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 26 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 88 * * [misc]simplify: Extracting #6: cost 16 inf + 459 * * [misc]simplify: Extracting #7: cost 10 inf + 1711 * * [misc]simplify: Extracting #8: cost 3 inf + 4933 * * [misc]simplify: Extracting #9: cost 0 inf + 6181 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 10 inf + 2596 * * [misc]simplify: Extracting #8: cost 1 inf + 6704 * * [misc]simplify: Extracting #9: cost 0 inf + 7428 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 749 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 37 inf + 0 * * [misc]simplify: Extracting #2: cost 43 inf + 0 * * [misc]simplify: Extracting #3: cost 46 inf + 0 * * [misc]simplify: Extracting #4: cost 52 inf + 0 * * [misc]simplify: Extracting #5: cost 46 inf + 87 * * [misc]simplify: Extracting #6: cost 42 inf + 458 * * [misc]simplify: Extracting #7: cost 35 inf + 2194 * * [misc]simplify: Extracting #8: cost 20 inf + 9598 * * [misc]simplify: Extracting #9: cost 0 inf + 20904 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1428 * * [misc]simplify: Extracting #8: cost 4 inf + 5054 * * [misc]simplify: Extracting #9: cost 0 inf + 7106 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 750 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 26 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 35 inf + 0 * * [misc]simplify: Extracting #5: cost 29 inf + 87 * * [misc]simplify: Extracting #6: cost 25 inf + 458 * * [misc]simplify: Extracting #7: cost 18 inf + 2154 * * [misc]simplify: Extracting #8: cost 4 inf + 8596 * * [misc]simplify: Extracting #9: cost 0 inf + 10810 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1428 * * [misc]simplify: Extracting #8: cost 4 inf + 5094 * * [misc]simplify: Extracting #9: cost 0 inf + 6946 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 751 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 0 * * [misc]simplify: Extracting #3: cost 32 inf + 0 * * [misc]simplify: Extracting #4: cost 38 inf + 0 * * [misc]simplify: Extracting #5: cost 32 inf + 87 * * [misc]simplify: Extracting #6: cost 28 inf + 458 * * [misc]simplify: Extracting #7: cost 19 inf + 2598 * * [misc]simplify: Extracting #8: cost 7 inf + 8034 * * [misc]simplify: Extracting #9: cost 0 inf + 12536 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 14 inf + 1630 * * [misc]simplify: Extracting #8: cost 8 inf + 3686 * * [misc]simplify: Extracting #9: cost 0 inf + 7950 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 752 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 24 inf + 0 * * [misc]simplify: Extracting #6: cost 18 inf + 87 * * [misc]simplify: Extracting #7: cost 14 inf + 458 * * [misc]simplify: Extracting #8: cost 10 inf + 1266 * * [misc]simplify: Extracting #9: cost 5 inf + 3202 * * [misc]simplify: Extracting #10: cost 0 inf + 5578 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 742 * * [misc]simplify: Extracting #8: cost 4 inf + 1872 * * [misc]simplify: Extracting #9: cost 0 inf + 3766 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 753 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 26 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 88 * * [misc]simplify: Extracting #6: cost 16 inf + 459 * * [misc]simplify: Extracting #7: cost 12 inf + 1187 * * [misc]simplify: Extracting #8: cost 1 inf + 5944 * * [misc]simplify: Extracting #9: cost 0 inf + 6346 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1428 * * [misc]simplify: Extracting #8: cost 2 inf + 5580 * * [misc]simplify: Extracting #9: cost 0 inf + 6264 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 754 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 24 inf + 0 * * [misc]simplify: Extracting #6: cost 18 inf + 87 * * [misc]simplify: Extracting #7: cost 14 inf + 458 * * [misc]simplify: Extracting #8: cost 10 inf + 1266 * * [misc]simplify: Extracting #9: cost 5 inf + 3202 * * [misc]simplify: Extracting #10: cost 0 inf + 5578 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 742 * * [misc]simplify: Extracting #8: cost 4 inf + 1872 * * [misc]simplify: Extracting #9: cost 0 inf + 3766 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 755 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 24 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 88 * * [misc]simplify: Extracting #6: cost 14 inf + 459 * * [misc]simplify: Extracting #7: cost 8 inf + 1913 * * [misc]simplify: Extracting #8: cost 0 inf + 5297 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1428 * * [misc]simplify: Extracting #8: cost 2 inf + 5580 * * [misc]simplify: Extracting #9: cost 0 inf + 6264 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 756 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 24 inf + 0 * * [misc]simplify: Extracting #6: cost 18 inf + 87 * * [misc]simplify: Extracting #7: cost 14 inf + 458 * * [misc]simplify: Extracting #8: cost 10 inf + 1266 * * [misc]simplify: Extracting #9: cost 5 inf + 3202 * * [misc]simplify: Extracting #10: cost 0 inf + 5578 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 742 * * [misc]simplify: Extracting #8: cost 4 inf + 1872 * * [misc]simplify: Extracting #9: cost 0 inf + 3766 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 757 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 24 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 88 * * [misc]simplify: Extracting #6: cost 14 inf + 459 * * [misc]simplify: Extracting #7: cost 11 inf + 945 * * [misc]simplify: Extracting #8: cost 4 inf + 3243 * * [misc]simplify: Extracting #9: cost 0 inf + 5297 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1428 * * [misc]simplify: Extracting #8: cost 2 inf + 5580 * * [misc]simplify: Extracting #9: cost 0 inf + 6264 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 758 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 25 inf + 1 * * [misc]simplify: Extracting #6: cost 19 inf + 88 * * [misc]simplify: Extracting #7: cost 14 inf + 581 * * [misc]simplify: Extracting #8: cost 13 inf + 743 * * [misc]simplify: Extracting #9: cost 6 inf + 3121 * * [misc]simplify: Extracting #10: cost 0 inf + 6261 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1428 * * [misc]simplify: Extracting #8: cost 4 inf + 4692 * * [misc]simplify: Extracting #9: cost 0 inf + 6584 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 759 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 579 * * [misc]simplify: Extracting #8: cost 3 inf + 1711 * * [misc]simplify: Extracting #9: cost 0 inf + 3041 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 9 inf + 2718 * * [misc]simplify: Extracting #8: cost 0 inf + 6424 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 760 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 21 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 88 * * [misc]simplify: Extracting #7: cost 9 inf + 743 * * [misc]simplify: Extracting #8: cost 4 inf + 1953 * * [misc]simplify: Extracting #9: cost 1 inf + 3163 * * [misc]simplify: Extracting #10: cost 0 inf + 3847 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1630 * * [misc]simplify: Extracting #8: cost 8 inf + 3324 * * [misc]simplify: Extracting #9: cost 1 inf + 6704 * * [misc]simplify: Extracting #10: cost 0 inf + 7428 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 761 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 11 inf + 171 * * [misc]simplify: Extracting #8: cost 8 inf + 579 * * [misc]simplify: Extracting #9: cost 2 inf + 2155 * * [misc]simplify: Extracting #10: cost 1 inf + 2639 * * [misc]simplify: Extracting #11: cost 0 inf + 3243 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1428 * * [misc]simplify: Extracting #8: cost 4 inf + 4532 * * [misc]simplify: Extracting #9: cost 0 inf + 6264 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 762 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 88 * * [misc]simplify: Extracting #6: cost 4 inf + 821 * * [misc]simplify: Extracting #7: cost 1 inf + 1711 * * [misc]simplify: Extracting #8: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 43 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 3 inf + 2154 * * [misc]simplify: Extracting #8: cost 0 inf + 3364 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 763 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 11 inf + 171 * * [misc]simplify: Extracting #8: cost 8 inf + 579 * * [misc]simplify: Extracting #9: cost 2 inf + 2155 * * [misc]simplify: Extracting #10: cost 1 inf + 2639 * * [misc]simplify: Extracting #11: cost 0 inf + 3243 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1428 * * [misc]simplify: Extracting #8: cost 4 inf + 4532 * * [misc]simplify: Extracting #9: cost 0 inf + 6264 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 764 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 88 * * [misc]simplify: Extracting #6: cost 4 inf + 821 * * [misc]simplify: Extracting #7: cost 1 inf + 1711 * * [misc]simplify: Extracting #8: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 43 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 3 inf + 2154 * * [misc]simplify: Extracting #8: cost 0 inf + 3364 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 765 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 11 inf + 171 * * [misc]simplify: Extracting #8: cost 8 inf + 579 * * [misc]simplify: Extracting #9: cost 2 inf + 2155 * * [misc]simplify: Extracting #10: cost 1 inf + 2639 * * [misc]simplify: Extracting #11: cost 0 inf + 3243 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1428 * * [misc]simplify: Extracting #8: cost 4 inf + 4532 * * [misc]simplify: Extracting #9: cost 0 inf + 6264 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 766 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 88 * * [misc]simplify: Extracting #6: cost 4 inf + 821 * * [misc]simplify: Extracting #7: cost 1 inf + 1711 * * [misc]simplify: Extracting #8: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 43 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 3 inf + 2154 * * [misc]simplify: Extracting #8: cost 0 inf + 3364 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 767 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 37 inf + 0 * * [misc]simplify: Extracting #2: cost 43 inf + 0 * * [misc]simplify: Extracting #3: cost 46 inf + 0 * * [misc]simplify: Extracting #4: cost 52 inf + 0 * * [misc]simplify: Extracting #5: cost 46 inf + 87 * * [misc]simplify: Extracting #6: cost 42 inf + 458 * * [misc]simplify: Extracting #7: cost 35 inf + 2194 * * [misc]simplify: Extracting #8: cost 20 inf + 9598 * * [misc]simplify: Extracting #9: cost 0 inf + 20904 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1428 * * [misc]simplify: Extracting #8: cost 4 inf + 5054 * * [misc]simplify: Extracting #9: cost 0 inf + 7106 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 768 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 26 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 35 inf + 0 * * [misc]simplify: Extracting #5: cost 29 inf + 87 * * [misc]simplify: Extracting #6: cost 25 inf + 458 * * [misc]simplify: Extracting #7: cost 18 inf + 2154 * * [misc]simplify: Extracting #8: cost 4 inf + 8596 * * [misc]simplify: Extracting #9: cost 0 inf + 10810 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1428 * * [misc]simplify: Extracting #8: cost 4 inf + 5094 * * [misc]simplify: Extracting #9: cost 0 inf + 6946 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 769 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 0 * * [misc]simplify: Extracting #3: cost 32 inf + 0 * * [misc]simplify: Extracting #4: cost 38 inf + 0 * * [misc]simplify: Extracting #5: cost 32 inf + 87 * * [misc]simplify: Extracting #6: cost 28 inf + 458 * * [misc]simplify: Extracting #7: cost 19 inf + 2598 * * [misc]simplify: Extracting #8: cost 7 inf + 8034 * * [misc]simplify: Extracting #9: cost 0 inf + 12536 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 14 inf + 1630 * * [misc]simplify: Extracting #8: cost 8 inf + 3686 * * [misc]simplify: Extracting #9: cost 0 inf + 7950 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 770 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 24 inf + 0 * * [misc]simplify: Extracting #6: cost 18 inf + 87 * * [misc]simplify: Extracting #7: cost 14 inf + 458 * * [misc]simplify: Extracting #8: cost 10 inf + 1266 * * [misc]simplify: Extracting #9: cost 5 inf + 3202 * * [misc]simplify: Extracting #10: cost 0 inf + 5578 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 742 * * [misc]simplify: Extracting #8: cost 4 inf + 1872 * * [misc]simplify: Extracting #9: cost 0 inf + 3766 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 771 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 26 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 88 * * [misc]simplify: Extracting #6: cost 16 inf + 459 * * [misc]simplify: Extracting #7: cost 12 inf + 1187 * * [misc]simplify: Extracting #8: cost 1 inf + 5944 * * [misc]simplify: Extracting #9: cost 0 inf + 6346 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1428 * * [misc]simplify: Extracting #8: cost 2 inf + 5580 * * [misc]simplify: Extracting #9: cost 0 inf + 6264 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 772 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 24 inf + 0 * * [misc]simplify: Extracting #6: cost 18 inf + 87 * * [misc]simplify: Extracting #7: cost 14 inf + 458 * * [misc]simplify: Extracting #8: cost 10 inf + 1266 * * [misc]simplify: Extracting #9: cost 5 inf + 3202 * * [misc]simplify: Extracting #10: cost 0 inf + 5578 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 742 * * [misc]simplify: Extracting #8: cost 4 inf + 1872 * * [misc]simplify: Extracting #9: cost 0 inf + 3766 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 773 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 24 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 88 * * [misc]simplify: Extracting #6: cost 14 inf + 459 * * [misc]simplify: Extracting #7: cost 8 inf + 1913 * * [misc]simplify: Extracting #8: cost 0 inf + 5297 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1428 * * [misc]simplify: Extracting #8: cost 2 inf + 5580 * * [misc]simplify: Extracting #9: cost 0 inf + 6264 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 774 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 24 inf + 0 * * [misc]simplify: Extracting #6: cost 18 inf + 87 * * [misc]simplify: Extracting #7: cost 14 inf + 458 * * [misc]simplify: Extracting #8: cost 10 inf + 1266 * * [misc]simplify: Extracting #9: cost 5 inf + 3202 * * [misc]simplify: Extracting #10: cost 0 inf + 5578 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 742 * * [misc]simplify: Extracting #8: cost 4 inf + 1872 * * [misc]simplify: Extracting #9: cost 0 inf + 3766 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 775 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 24 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 88 * * [misc]simplify: Extracting #6: cost 14 inf + 459 * * [misc]simplify: Extracting #7: cost 11 inf + 945 * * [misc]simplify: Extracting #8: cost 4 inf + 3243 * * [misc]simplify: Extracting #9: cost 0 inf + 5297 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1428 * * [misc]simplify: Extracting #8: cost 2 inf + 5580 * * [misc]simplify: Extracting #9: cost 0 inf + 6264 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 776 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 25 inf + 1 * * [misc]simplify: Extracting #6: cost 19 inf + 88 * * [misc]simplify: Extracting #7: cost 15 inf + 459 * * [misc]simplify: Extracting #8: cost 13 inf + 743 * * [misc]simplify: Extracting #9: cost 6 inf + 3323 * * [misc]simplify: Extracting #10: cost 0 inf + 6261 * [exit]simplify: Simplified to (/ (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1428 * * [misc]simplify: Extracting #8: cost 4 inf + 4692 * * [misc]simplify: Extracting #9: cost 0 inf + 6584 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 777 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 46 * * [misc]simplify: Extracting #7: cost 8 inf + 455 * * [misc]simplify: Extracting #8: cost 4 inf + 1267 * * [misc]simplify: Extracting #9: cost 2 inf + 1993 * * [misc]simplify: Extracting #10: cost 0 inf + 3041 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 9 inf + 2718 * * [misc]simplify: Extracting #8: cost 0 inf + 6424 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 778 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 21 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 88 * * [misc]simplify: Extracting #7: cost 6 inf + 1469 * * [misc]simplify: Extracting #8: cost 2 inf + 2679 * * [misc]simplify: Extracting #9: cost 0 inf + 3847 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1630 * * [misc]simplify: Extracting #8: cost 8 inf + 3324 * * [misc]simplify: Extracting #9: cost 1 inf + 6704 * * [misc]simplify: Extracting #10: cost 0 inf + 7428 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 779 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 46 * * [misc]simplify: Extracting #7: cost 9 inf + 455 * * [misc]simplify: Extracting #8: cost 5 inf + 1187 * * [misc]simplify: Extracting #9: cost 2 inf + 2155 * * [misc]simplify: Extracting #10: cost 0 inf + 3243 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1428 * * [misc]simplify: Extracting #8: cost 4 inf + 4532 * * [misc]simplify: Extracting #9: cost 0 inf + 6264 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 780 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 88 * * [misc]simplify: Extracting #6: cost 4 inf + 821 * * [misc]simplify: Extracting #7: cost 1 inf + 1711 * * [misc]simplify: Extracting #8: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 43 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 3 inf + 2154 * * [misc]simplify: Extracting #8: cost 0 inf + 3364 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 781 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 46 * * [misc]simplify: Extracting #7: cost 9 inf + 455 * * [misc]simplify: Extracting #8: cost 5 inf + 1187 * * [misc]simplify: Extracting #9: cost 2 inf + 2155 * * [misc]simplify: Extracting #10: cost 0 inf + 3243 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1428 * * [misc]simplify: Extracting #8: cost 4 inf + 4532 * * [misc]simplify: Extracting #9: cost 0 inf + 6264 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 782 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 88 * * [misc]simplify: Extracting #6: cost 4 inf + 743 * * [misc]simplify: Extracting #7: cost 3 inf + 985 * * [misc]simplify: Extracting #8: cost 1 inf + 1711 * * [misc]simplify: Extracting #9: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 43 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 3 inf + 2154 * * [misc]simplify: Extracting #8: cost 0 inf + 3364 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 783 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 46 * * [misc]simplify: Extracting #7: cost 9 inf + 455 * * [misc]simplify: Extracting #8: cost 5 inf + 1187 * * [misc]simplify: Extracting #9: cost 2 inf + 2155 * * [misc]simplify: Extracting #10: cost 0 inf + 3243 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1428 * * [misc]simplify: Extracting #8: cost 4 inf + 4532 * * [misc]simplify: Extracting #9: cost 0 inf + 6264 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 784 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 46 * * [misc]simplify: Extracting #6: cost 6 inf + 455 * * [misc]simplify: Extracting #7: cost 3 inf + 985 * * [misc]simplify: Extracting #8: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 43 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 3 inf + 2154 * * [misc]simplify: Extracting #8: cost 0 inf + 3364 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 785 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 37 inf + 0 * * [misc]simplify: Extracting #2: cost 43 inf + 0 * * [misc]simplify: Extracting #3: cost 46 inf + 0 * * [misc]simplify: Extracting #4: cost 52 inf + 0 * * [misc]simplify: Extracting #5: cost 46 inf + 87 * * [misc]simplify: Extracting #6: cost 42 inf + 458 * * [misc]simplify: Extracting #7: cost 35 inf + 2194 * * [misc]simplify: Extracting #8: cost 20 inf + 9598 * * [misc]simplify: Extracting #9: cost 0 inf + 20904 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1428 * * [misc]simplify: Extracting #8: cost 4 inf + 5054 * * [misc]simplify: Extracting #9: cost 0 inf + 7106 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 786 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 26 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 35 inf + 0 * * [misc]simplify: Extracting #5: cost 29 inf + 87 * * [misc]simplify: Extracting #6: cost 25 inf + 458 * * [misc]simplify: Extracting #7: cost 18 inf + 2154 * * [misc]simplify: Extracting #8: cost 4 inf + 8596 * * [misc]simplify: Extracting #9: cost 0 inf + 10810 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1428 * * [misc]simplify: Extracting #8: cost 4 inf + 5094 * * [misc]simplify: Extracting #9: cost 0 inf + 6946 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 787 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 0 * * [misc]simplify: Extracting #3: cost 32 inf + 0 * * [misc]simplify: Extracting #4: cost 38 inf + 0 * * [misc]simplify: Extracting #5: cost 32 inf + 87 * * [misc]simplify: Extracting #6: cost 28 inf + 458 * * [misc]simplify: Extracting #7: cost 19 inf + 2598 * * [misc]simplify: Extracting #8: cost 7 inf + 8034 * * [misc]simplify: Extracting #9: cost 0 inf + 12536 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 14 inf + 1630 * * [misc]simplify: Extracting #8: cost 8 inf + 3686 * * [misc]simplify: Extracting #9: cost 0 inf + 7950 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 788 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 24 inf + 0 * * [misc]simplify: Extracting #6: cost 18 inf + 87 * * [misc]simplify: Extracting #7: cost 14 inf + 458 * * [misc]simplify: Extracting #8: cost 10 inf + 1266 * * [misc]simplify: Extracting #9: cost 5 inf + 3202 * * [misc]simplify: Extracting #10: cost 0 inf + 5578 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 742 * * [misc]simplify: Extracting #8: cost 4 inf + 1872 * * [misc]simplify: Extracting #9: cost 0 inf + 3766 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 789 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 26 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 88 * * [misc]simplify: Extracting #6: cost 16 inf + 459 * * [misc]simplify: Extracting #7: cost 12 inf + 1187 * * [misc]simplify: Extracting #8: cost 1 inf + 5944 * * [misc]simplify: Extracting #9: cost 0 inf + 6346 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1428 * * [misc]simplify: Extracting #8: cost 2 inf + 5580 * * [misc]simplify: Extracting #9: cost 0 inf + 6264 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 790 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 24 inf + 0 * * [misc]simplify: Extracting #6: cost 18 inf + 87 * * [misc]simplify: Extracting #7: cost 14 inf + 458 * * [misc]simplify: Extracting #8: cost 10 inf + 1266 * * [misc]simplify: Extracting #9: cost 5 inf + 3202 * * [misc]simplify: Extracting #10: cost 0 inf + 5578 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 742 * * [misc]simplify: Extracting #8: cost 4 inf + 1872 * * [misc]simplify: Extracting #9: cost 0 inf + 3766 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 791 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 24 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 88 * * [misc]simplify: Extracting #6: cost 14 inf + 459 * * [misc]simplify: Extracting #7: cost 8 inf + 1913 * * [misc]simplify: Extracting #8: cost 0 inf + 5297 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1428 * * [misc]simplify: Extracting #8: cost 2 inf + 5580 * * [misc]simplify: Extracting #9: cost 0 inf + 6264 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 792 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 24 inf + 0 * * [misc]simplify: Extracting #6: cost 18 inf + 87 * * [misc]simplify: Extracting #7: cost 14 inf + 458 * * [misc]simplify: Extracting #8: cost 10 inf + 1266 * * [misc]simplify: Extracting #9: cost 5 inf + 3202 * * [misc]simplify: Extracting #10: cost 0 inf + 5578 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 742 * * [misc]simplify: Extracting #8: cost 4 inf + 1872 * * [misc]simplify: Extracting #9: cost 0 inf + 3766 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 793 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 24 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 88 * * [misc]simplify: Extracting #6: cost 14 inf + 459 * * [misc]simplify: Extracting #7: cost 11 inf + 945 * * [misc]simplify: Extracting #8: cost 4 inf + 3243 * * [misc]simplify: Extracting #9: cost 0 inf + 5297 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1428 * * [misc]simplify: Extracting #8: cost 2 inf + 5580 * * [misc]simplify: Extracting #9: cost 0 inf + 6264 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 794 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 1 * * [misc]simplify: Extracting #3: cost 27 inf + 1 * * [misc]simplify: Extracting #4: cost 33 inf + 1 * * [misc]simplify: Extracting #5: cost 27 inf + 88 * * [misc]simplify: Extracting #6: cost 23 inf + 459 * * [misc]simplify: Extracting #7: cost 15 inf + 2957 * * [misc]simplify: Extracting #8: cost 4 inf + 8393 * * [misc]simplify: Extracting #9: cost 0 inf + 10849 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1428 * * [misc]simplify: Extracting #8: cost 4 inf + 4692 * * [misc]simplify: Extracting #9: cost 0 inf + 6584 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 795 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 24 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 88 * * [misc]simplify: Extracting #6: cost 14 inf + 459 * * [misc]simplify: Extracting #7: cost 11 inf + 985 * * [misc]simplify: Extracting #8: cost 5 inf + 3363 * * [misc]simplify: Extracting #9: cost 0 inf + 5781 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 9 inf + 2718 * * [misc]simplify: Extracting #8: cost 0 inf + 6424 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 796 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 21 inf + 1 * * [misc]simplify: Extracting #4: cost 27 inf + 1 * * [misc]simplify: Extracting #5: cost 21 inf + 88 * * [misc]simplify: Extracting #6: cost 17 inf + 459 * * [misc]simplify: Extracting #7: cost 13 inf + 1187 * * [misc]simplify: Extracting #8: cost 3 inf + 5215 * * [misc]simplify: Extracting #9: cost 0 inf + 7187 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1630 * * [misc]simplify: Extracting #8: cost 8 inf + 3324 * * [misc]simplify: Extracting #9: cost 1 inf + 6704 * * [misc]simplify: Extracting #10: cost 0 inf + 7428 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 797 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 25 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 88 * * [misc]simplify: Extracting #6: cost 16 inf + 295 * * [misc]simplify: Extracting #7: cost 10 inf + 1429 * * [misc]simplify: Extracting #8: cost 1 inf + 5539 * * [misc]simplify: Extracting #9: cost 0 inf + 6143 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1428 * * [misc]simplify: Extracting #8: cost 4 inf + 4532 * * [misc]simplify: Extracting #9: cost 0 inf + 6264 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 798 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 88 * * [misc]simplify: Extracting #6: cost 4 inf + 821 * * [misc]simplify: Extracting #7: cost 1 inf + 1711 * * [misc]simplify: Extracting #8: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 43 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 3 inf + 2154 * * [misc]simplify: Extracting #8: cost 0 inf + 3364 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 799 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 25 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 88 * * [misc]simplify: Extracting #6: cost 16 inf + 295 * * [misc]simplify: Extracting #7: cost 10 inf + 1429 * * [misc]simplify: Extracting #8: cost 1 inf + 5539 * * [misc]simplify: Extracting #9: cost 0 inf + 6143 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1428 * * [misc]simplify: Extracting #8: cost 4 inf + 4532 * * [misc]simplify: Extracting #9: cost 0 inf + 6264 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 800 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 88 * * [misc]simplify: Extracting #6: cost 4 inf + 743 * * [misc]simplify: Extracting #7: cost 3 inf + 985 * * [misc]simplify: Extracting #8: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 43 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 3 inf + 2154 * * [misc]simplify: Extracting #8: cost 0 inf + 3364 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 801 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 25 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 88 * * [misc]simplify: Extracting #6: cost 16 inf + 295 * * [misc]simplify: Extracting #7: cost 10 inf + 1429 * * [misc]simplify: Extracting #8: cost 1 inf + 5539 * * [misc]simplify: Extracting #9: cost 0 inf + 6143 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1428 * * [misc]simplify: Extracting #8: cost 4 inf + 4532 * * [misc]simplify: Extracting #9: cost 0 inf + 6264 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 802 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 88 * * [misc]simplify: Extracting #6: cost 3 inf + 985 * * [misc]simplify: Extracting #7: cost 1 inf + 1711 * * [misc]simplify: Extracting #8: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 43 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 3 inf + 2154 * * [misc]simplify: Extracting #8: cost 0 inf + 3364 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 803 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 1 * * [misc]simplify: Extracting #4: cost 24 inf + 2 * * [misc]simplify: Extracting #5: cost 30 inf + 2 * * [misc]simplify: Extracting #6: cost 24 inf + 89 * * [misc]simplify: Extracting #7: cost 20 inf + 460 * * [misc]simplify: Extracting #8: cost 14 inf + 1632 * * [misc]simplify: Extracting #9: cost 7 inf + 4494 * * [misc]simplify: Extracting #10: cost 1 inf + 7592 * * [misc]simplify: Extracting #11: cost 0 inf + 8276 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 16 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 1146 * * [misc]simplify: Extracting #8: cost 5 inf + 2114 * * [misc]simplify: Extracting #9: cost 0 inf + 4690 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 804 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 30 inf + 0 * * [misc]simplify: Extracting #3: cost 34 inf + 0 * * [misc]simplify: Extracting #4: cost 40 inf + 0 * * [misc]simplify: Extracting #5: cost 34 inf + 87 * * [misc]simplify: Extracting #6: cost 30 inf + 458 * * [misc]simplify: Extracting #7: cost 24 inf + 1670 * * [misc]simplify: Extracting #8: cost 12 inf + 6742 * * [misc]simplify: Extracting #9: cost 0 inf + 14142 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 2356 * * [misc]simplify: Extracting #8: cost 0 inf + 8270 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 805 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 28 inf + 0 * * [misc]simplify: Extracting #3: cost 32 inf + 0 * * [misc]simplify: Extracting #4: cost 38 inf + 0 * * [misc]simplify: Extracting #5: cost 32 inf + 87 * * [misc]simplify: Extracting #6: cost 30 inf + 170 * * [misc]simplify: Extracting #7: cost 22 inf + 1630 * * [misc]simplify: Extracting #8: cost 17 inf + 3604 * * [misc]simplify: Extracting #9: cost 1 inf + 12696 * * [misc]simplify: Extracting #10: cost 0 inf + 13218 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 10 inf + 2556 * * [misc]simplify: Extracting #8: cost 1 inf + 6984 * * [misc]simplify: Extracting #9: cost 0 inf + 7708 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 806 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 28 inf + 0 * * [misc]simplify: Extracting #3: cost 32 inf + 0 * * [misc]simplify: Extracting #4: cost 38 inf + 0 * * [misc]simplify: Extracting #5: cost 32 inf + 87 * * [misc]simplify: Extracting #6: cost 30 inf + 170 * * [misc]simplify: Extracting #7: cost 21 inf + 1872 * * [misc]simplify: Extracting #8: cost 14 inf + 5012 * * [misc]simplify: Extracting #9: cost 1 inf + 12416 * * [misc]simplify: Extracting #10: cost 0 inf + 12818 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 10 inf + 2556 * * [misc]simplify: Extracting #8: cost 1 inf + 6824 * * [misc]simplify: Extracting #9: cost 0 inf + 7548 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 807 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 21 inf + 1 * * [misc]simplify: Extracting #4: cost 27 inf + 1 * * [misc]simplify: Extracting #5: cost 22 inf + 47 * * [misc]simplify: Extracting #6: cost 17 inf + 459 * * [misc]simplify: Extracting #7: cost 11 inf + 1631 * * [misc]simplify: Extracting #8: cost 7 inf + 3365 * * [misc]simplify: Extracting #9: cost 0 inf + 6947 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 8 inf + 3042 * * [misc]simplify: Extracting #8: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 808 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 28 inf + 0 * * [misc]simplify: Extracting #3: cost 32 inf + 0 * * [misc]simplify: Extracting #4: cost 38 inf + 0 * * [misc]simplify: Extracting #5: cost 32 inf + 87 * * [misc]simplify: Extracting #6: cost 30 inf + 170 * * [misc]simplify: Extracting #7: cost 21 inf + 1872 * * [misc]simplify: Extracting #8: cost 14 inf + 5012 * * [misc]simplify: Extracting #9: cost 1 inf + 12416 * * [misc]simplify: Extracting #10: cost 0 inf + 12818 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 10 inf + 2556 * * [misc]simplify: Extracting #8: cost 1 inf + 6824 * * [misc]simplify: Extracting #9: cost 0 inf + 7548 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 809 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 26 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 88 * * [misc]simplify: Extracting #6: cost 16 inf + 459 * * [misc]simplify: Extracting #7: cost 10 inf + 1631 * * [misc]simplify: Extracting #8: cost 3 inf + 4611 * * [misc]simplify: Extracting #9: cost 0 inf + 6463 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 8 inf + 3042 * * [misc]simplify: Extracting #8: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 810 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 28 inf + 0 * * [misc]simplify: Extracting #3: cost 32 inf + 0 * * [misc]simplify: Extracting #4: cost 38 inf + 0 * * [misc]simplify: Extracting #5: cost 32 inf + 87 * * [misc]simplify: Extracting #6: cost 30 inf + 170 * * [misc]simplify: Extracting #7: cost 21 inf + 1872 * * [misc]simplify: Extracting #8: cost 14 inf + 5012 * * [misc]simplify: Extracting #9: cost 1 inf + 12416 * * [misc]simplify: Extracting #10: cost 0 inf + 12818 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 10 inf + 2556 * * [misc]simplify: Extracting #8: cost 1 inf + 6824 * * [misc]simplify: Extracting #9: cost 0 inf + 7548 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 811 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 26 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 88 * * [misc]simplify: Extracting #6: cost 16 inf + 459 * * [misc]simplify: Extracting #7: cost 9 inf + 1913 * * [misc]simplify: Extracting #8: cost 1 inf + 5981 * * [misc]simplify: Extracting #9: cost 0 inf + 6463 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 8 inf + 3042 * * [misc]simplify: Extracting #8: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 812 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 29 inf + 0 * * [misc]simplify: Extracting #3: cost 33 inf + 0 * * [misc]simplify: Extracting #4: cost 39 inf + 0 * * [misc]simplify: Extracting #5: cost 33 inf + 87 * * [misc]simplify: Extracting #6: cost 29 inf + 458 * * [misc]simplify: Extracting #7: cost 22 inf + 1872 * * [misc]simplify: Extracting #8: cost 13 inf + 5616 * * [misc]simplify: Extracting #9: cost 1 inf + 12774 * * [misc]simplify: Extracting #10: cost 0 inf + 13458 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (fabs (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (fabs (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 2356 * * [misc]simplify: Extracting #8: cost 0 inf + 8270 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (fabs (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 813 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 0 * * [misc]simplify: Extracting #6: cost 17 inf + 87 * * [misc]simplify: Extracting #7: cost 9 inf + 1186 * * [misc]simplify: Extracting #8: cost 5 inf + 2396 * * [misc]simplify: Extracting #9: cost 0 inf + 4892 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 944 * * [misc]simplify: Extracting #8: cost 4 inf + 2154 * * [misc]simplify: Extracting #9: cost 0 inf + 4328 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 814 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 30 inf + 0 * * [misc]simplify: Extracting #5: cost 24 inf + 87 * * [misc]simplify: Extracting #6: cost 20 inf + 458 * * [misc]simplify: Extracting #7: cost 14 inf + 1670 * * [misc]simplify: Extracting #8: cost 7 inf + 4370 * * [misc]simplify: Extracting #9: cost 0 inf + 8272 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 10 inf + 2596 * * [misc]simplify: Extracting #8: cost 1 inf + 7024 * * [misc]simplify: Extracting #9: cost 0 inf + 7748 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 815 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 31 inf + 0 * * [misc]simplify: Extracting #5: cost 25 inf + 87 * * [misc]simplify: Extracting #6: cost 21 inf + 458 * * [misc]simplify: Extracting #7: cost 14 inf + 1872 * * [misc]simplify: Extracting #8: cost 6 inf + 5174 * * [misc]simplify: Extracting #9: cost 0 inf + 8474 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 2356 * * [misc]simplify: Extracting #8: cost 0 inf + 7950 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 816 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 88 * * [misc]simplify: Extracting #6: cost 8 inf + 1187 * * [misc]simplify: Extracting #7: cost 3 inf + 2839 * * [misc]simplify: Extracting #8: cost 0 inf + 4249 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 6 inf + 4330 * * [misc]simplify: Extracting #8: cost 0 inf + 7428 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 817 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 31 inf + 0 * * [misc]simplify: Extracting #5: cost 25 inf + 87 * * [misc]simplify: Extracting #6: cost 21 inf + 458 * * [misc]simplify: Extracting #7: cost 14 inf + 1872 * * [misc]simplify: Extracting #8: cost 6 inf + 5174 * * [misc]simplify: Extracting #9: cost 0 inf + 8474 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 2356 * * [misc]simplify: Extracting #8: cost 0 inf + 7950 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 818 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 88 * * [misc]simplify: Extracting #6: cost 8 inf + 1187 * * [misc]simplify: Extracting #7: cost 3 inf + 2881 * * [misc]simplify: Extracting #8: cost 0 inf + 4249 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 6 inf + 4330 * * [misc]simplify: Extracting #8: cost 0 inf + 7428 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 819 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 31 inf + 0 * * [misc]simplify: Extracting #5: cost 25 inf + 87 * * [misc]simplify: Extracting #6: cost 21 inf + 458 * * [misc]simplify: Extracting #7: cost 14 inf + 1872 * * [misc]simplify: Extracting #8: cost 6 inf + 5174 * * [misc]simplify: Extracting #9: cost 0 inf + 8474 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 2356 * * [misc]simplify: Extracting #8: cost 0 inf + 7950 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 820 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 88 * * [misc]simplify: Extracting #6: cost 9 inf + 1141 * * [misc]simplify: Extracting #7: cost 2 inf + 3321 * * [misc]simplify: Extracting #8: cost 0 inf + 4249 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 6 inf + 4330 * * [misc]simplify: Extracting #8: cost 0 inf + 7428 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 821 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 0 * * [misc]simplify: Extracting #3: cost 31 inf + 0 * * [misc]simplify: Extracting #4: cost 37 inf + 0 * * [misc]simplify: Extracting #5: cost 31 inf + 87 * * [misc]simplify: Extracting #6: cost 27 inf + 458 * * [misc]simplify: Extracting #7: cost 22 inf + 1428 * * [misc]simplify: Extracting #8: cost 18 inf + 2880 * * [misc]simplify: Extracting #9: cost 4 inf + 10280 * * [misc]simplify: Extracting #10: cost 0 inf + 12534 * [exit]simplify: Simplified to (/ (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1630 * * [misc]simplify: Extracting #8: cost 8 inf + 3444 * * [misc]simplify: Extracting #9: cost 1 inf + 6984 * * [misc]simplify: Extracting #10: cost 0 inf + 7708 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 822 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 30 inf + 0 * * [misc]simplify: Extracting #5: cost 24 inf + 87 * * [misc]simplify: Extracting #6: cost 20 inf + 458 * * [misc]simplify: Extracting #7: cost 15 inf + 1428 * * [misc]simplify: Extracting #8: cost 6 inf + 5296 * * [misc]simplify: Extracting #9: cost 0 inf + 8272 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1630 * * [misc]simplify: Extracting #8: cost 8 inf + 3484 * * [misc]simplify: Extracting #9: cost 1 inf + 7024 * * [misc]simplify: Extracting #10: cost 0 inf + 7748 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 823 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 88 * * [misc]simplify: Extracting #7: cost 6 inf + 1307 * * [misc]simplify: Extracting #8: cost 1 inf + 3323 * * [misc]simplify: Extracting #9: cost 0 inf + 3807 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 783 * * [misc]simplify: Extracting #8: cost 3 inf + 2275 * * [misc]simplify: Extracting #9: cost 0 inf + 3565 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 824 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 14 inf + 1428 * * [misc]simplify: Extracting #8: cost 10 inf + 2880 * * [misc]simplify: Extracting #9: cost 2 inf + 6542 * * [misc]simplify: Extracting #10: cost 0 inf + 7630 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1630 * * [misc]simplify: Extracting #8: cost 8 inf + 3444 * * [misc]simplify: Extracting #9: cost 1 inf + 6704 * * [misc]simplify: Extracting #10: cost 0 inf + 7388 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 825 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 88 * * [misc]simplify: Extracting #6: cost 6 inf + 1025 * * [misc]simplify: Extracting #7: cost 2 inf + 2477 * * [misc]simplify: Extracting #8: cost 0 inf + 3323 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1630 * * [misc]simplify: Extracting #8: cost 5 inf + 4290 * * [misc]simplify: Extracting #9: cost 0 inf + 6866 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))))) * * * * [misc]progress: [ 826 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 14 inf + 1428 * * [misc]simplify: Extracting #8: cost 10 inf + 2880 * * [misc]simplify: Extracting #9: cost 2 inf + 6542 * * [misc]simplify: Extracting #10: cost 0 inf + 7630 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1630 * * [misc]simplify: Extracting #8: cost 8 inf + 3444 * * [misc]simplify: Extracting #9: cost 1 inf + 6704 * * [misc]simplify: Extracting #10: cost 0 inf + 7388 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 827 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 88 * * [misc]simplify: Extracting #6: cost 6 inf + 1025 * * [misc]simplify: Extracting #7: cost 1 inf + 2799 * * [misc]simplify: Extracting #8: cost 0 inf + 3323 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1630 * * [misc]simplify: Extracting #8: cost 5 inf + 4290 * * [misc]simplify: Extracting #9: cost 0 inf + 6866 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))))) * * * * [misc]progress: [ 828 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 14 inf + 1428 * * [misc]simplify: Extracting #8: cost 10 inf + 2880 * * [misc]simplify: Extracting #9: cost 2 inf + 6542 * * [misc]simplify: Extracting #10: cost 0 inf + 7630 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1630 * * [misc]simplify: Extracting #8: cost 8 inf + 3444 * * [misc]simplify: Extracting #9: cost 1 inf + 6704 * * [misc]simplify: Extracting #10: cost 0 inf + 7388 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 829 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 88 * * [misc]simplify: Extracting #6: cost 7 inf + 861 * * [misc]simplify: Extracting #7: cost 2 inf + 2477 * * [misc]simplify: Extracting #8: cost 0 inf + 3323 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1630 * * [misc]simplify: Extracting #8: cost 5 inf + 4290 * * [misc]simplify: Extracting #9: cost 0 inf + 6866 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))))) * * * * [misc]progress: [ 830 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 0 * * [misc]simplify: Extracting #3: cost 31 inf + 0 * * [misc]simplify: Extracting #4: cost 37 inf + 0 * * [misc]simplify: Extracting #5: cost 31 inf + 87 * * [misc]simplify: Extracting #6: cost 27 inf + 458 * * [misc]simplify: Extracting #7: cost 21 inf + 1630 * * [misc]simplify: Extracting #8: cost 12 inf + 5536 * * [misc]simplify: Extracting #9: cost 0 inf + 12134 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 10 inf + 2476 * * [misc]simplify: Extracting #8: cost 1 inf + 6824 * * [misc]simplify: Extracting #9: cost 0 inf + 7548 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 831 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 31 inf + 0 * * [misc]simplify: Extracting #5: cost 25 inf + 87 * * [misc]simplify: Extracting #6: cost 21 inf + 458 * * [misc]simplify: Extracting #7: cost 15 inf + 1630 * * [misc]simplify: Extracting #8: cost 6 inf + 5214 * * [misc]simplify: Extracting #9: cost 0 inf + 8474 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 2316 * * [misc]simplify: Extracting #8: cost 0 inf + 7950 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 832 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1630 * * [misc]simplify: Extracting #8: cost 7 inf + 3886 * * [misc]simplify: Extracting #9: cost 0 inf + 7630 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 10 inf + 2476 * * [misc]simplify: Extracting #8: cost 1 inf + 6704 * * [misc]simplify: Extracting #9: cost 0 inf + 7388 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 833 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 16 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 1186 * * [misc]simplify: Extracting #8: cost 5 inf + 2074 * * [misc]simplify: Extracting #9: cost 0 inf + 4330 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 944 * * [misc]simplify: Extracting #8: cost 4 inf + 2074 * * [misc]simplify: Extracting #9: cost 0 inf + 4088 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 834 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 88 * * [misc]simplify: Extracting #6: cost 7 inf + 1187 * * [misc]simplify: Extracting #7: cost 3 inf + 2317 * * [misc]simplify: Extracting #8: cost 0 inf + 3767 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 8 inf + 2962 * * [misc]simplify: Extracting #8: cost 0 inf + 6706 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 835 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 16 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 1186 * * [misc]simplify: Extracting #8: cost 5 inf + 2074 * * [misc]simplify: Extracting #9: cost 0 inf + 4330 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 944 * * [misc]simplify: Extracting #8: cost 4 inf + 2074 * * [misc]simplify: Extracting #9: cost 0 inf + 4088 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 836 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 46 * * [misc]simplify: Extracting #6: cost 9 inf + 899 * * [misc]simplify: Extracting #7: cost 6 inf + 1467 * * [misc]simplify: Extracting #8: cost 0 inf + 3767 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 8 inf + 2962 * * [misc]simplify: Extracting #8: cost 0 inf + 6706 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 837 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 16 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 1186 * * [misc]simplify: Extracting #8: cost 5 inf + 2074 * * [misc]simplify: Extracting #9: cost 0 inf + 4330 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 944 * * [misc]simplify: Extracting #8: cost 4 inf + 2074 * * [misc]simplify: Extracting #9: cost 0 inf + 4088 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 838 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 88 * * [misc]simplify: Extracting #6: cost 6 inf + 1631 * * [misc]simplify: Extracting #7: cost 3 inf + 2317 * * [misc]simplify: Extracting #8: cost 0 inf + 3767 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 8 inf + 2962 * * [misc]simplify: Extracting #8: cost 0 inf + 6706 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 839 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 21 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 88 * * [misc]simplify: Extracting #7: cost 8 inf + 1025 * * [misc]simplify: Extracting #8: cost 3 inf + 2357 * * [misc]simplify: Extracting #9: cost 1 inf + 3323 * * [misc]simplify: Extracting #10: cost 0 inf + 4007 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 5 inf + 4412 * * [misc]simplify: Extracting #8: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 840 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 88 * * [misc]simplify: Extracting #7: cost 8 inf + 861 * * [misc]simplify: Extracting #8: cost 2 inf + 2397 * * [misc]simplify: Extracting #9: cost 0 inf + 3323 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 2074 * * [misc]simplify: Extracting #8: cost 2 inf + 6140 * * [misc]simplify: Extracting #9: cost 0 inf + 7428 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 841 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 88 * * [misc]simplify: Extracting #7: cost 4 inf + 1025 * * [misc]simplify: Extracting #8: cost 1 inf + 1993 * * [misc]simplify: Extracting #9: cost 0 inf + 2517 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 9 inf + 2800 * * [misc]simplify: Extracting #8: cost 3 inf + 5376 * * [misc]simplify: Extracting #9: cost 0 inf + 6866 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 842 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 861 * * [misc]simplify: Extracting #8: cost 1 inf + 2317 * * [misc]simplify: Extracting #9: cost 0 inf + 2921 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 5 inf + 4252 * * [misc]simplify: Extracting #8: cost 0 inf + 6706 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 843 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 1025 * * [misc]simplify: Extracting #7: cost 0 inf + 1711 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 43 * * [misc]simplify: Extracting #6: cost 9 inf + 816 * * [misc]simplify: Extracting #7: cost 2 inf + 2598 * * [misc]simplify: Extracting #8: cost 0 inf + 3686 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 844 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 861 * * [misc]simplify: Extracting #8: cost 1 inf + 2317 * * [misc]simplify: Extracting #9: cost 0 inf + 2921 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 5 inf + 4252 * * [misc]simplify: Extracting #8: cost 0 inf + 6706 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 845 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 1025 * * [misc]simplify: Extracting #7: cost 0 inf + 1711 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 43 * * [misc]simplify: Extracting #6: cost 9 inf + 816 * * [misc]simplify: Extracting #7: cost 2 inf + 2598 * * [misc]simplify: Extracting #8: cost 0 inf + 3686 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 846 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 861 * * [misc]simplify: Extracting #8: cost 1 inf + 2317 * * [misc]simplify: Extracting #9: cost 0 inf + 2921 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 5 inf + 4252 * * [misc]simplify: Extracting #8: cost 0 inf + 6706 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 847 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 1025 * * [misc]simplify: Extracting #7: cost 0 inf + 1711 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 43 * * [misc]simplify: Extracting #6: cost 9 inf + 816 * * [misc]simplify: Extracting #7: cost 2 inf + 2598 * * [misc]simplify: Extracting #8: cost 0 inf + 3686 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 848 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 0 * * [misc]simplify: Extracting #3: cost 31 inf + 0 * * [misc]simplify: Extracting #4: cost 37 inf + 0 * * [misc]simplify: Extracting #5: cost 31 inf + 87 * * [misc]simplify: Extracting #6: cost 27 inf + 458 * * [misc]simplify: Extracting #7: cost 21 inf + 1630 * * [misc]simplify: Extracting #8: cost 12 inf + 5536 * * [misc]simplify: Extracting #9: cost 0 inf + 12134 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 10 inf + 2476 * * [misc]simplify: Extracting #8: cost 1 inf + 6824 * * [misc]simplify: Extracting #9: cost 0 inf + 7548 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 849 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 31 inf + 0 * * [misc]simplify: Extracting #5: cost 25 inf + 87 * * [misc]simplify: Extracting #6: cost 21 inf + 458 * * [misc]simplify: Extracting #7: cost 15 inf + 1630 * * [misc]simplify: Extracting #8: cost 6 inf + 5214 * * [misc]simplify: Extracting #9: cost 0 inf + 8474 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 2316 * * [misc]simplify: Extracting #8: cost 0 inf + 7950 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 850 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1630 * * [misc]simplify: Extracting #8: cost 7 inf + 3886 * * [misc]simplify: Extracting #9: cost 0 inf + 7630 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 10 inf + 2476 * * [misc]simplify: Extracting #8: cost 1 inf + 6704 * * [misc]simplify: Extracting #9: cost 0 inf + 7388 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 851 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 16 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 1186 * * [misc]simplify: Extracting #8: cost 5 inf + 2074 * * [misc]simplify: Extracting #9: cost 0 inf + 4330 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 944 * * [misc]simplify: Extracting #8: cost 4 inf + 2074 * * [misc]simplify: Extracting #9: cost 0 inf + 4088 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 852 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 88 * * [misc]simplify: Extracting #6: cost 7 inf + 1187 * * [misc]simplify: Extracting #7: cost 3 inf + 2317 * * [misc]simplify: Extracting #8: cost 0 inf + 3767 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 8 inf + 2962 * * [misc]simplify: Extracting #8: cost 0 inf + 6706 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 853 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 16 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 1186 * * [misc]simplify: Extracting #8: cost 5 inf + 2074 * * [misc]simplify: Extracting #9: cost 0 inf + 4330 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 944 * * [misc]simplify: Extracting #8: cost 4 inf + 2074 * * [misc]simplify: Extracting #9: cost 0 inf + 4088 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 854 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 46 * * [misc]simplify: Extracting #6: cost 9 inf + 899 * * [misc]simplify: Extracting #7: cost 6 inf + 1467 * * [misc]simplify: Extracting #8: cost 0 inf + 3767 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 8 inf + 2962 * * [misc]simplify: Extracting #8: cost 0 inf + 6706 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 855 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 16 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 1186 * * [misc]simplify: Extracting #8: cost 5 inf + 2074 * * [misc]simplify: Extracting #9: cost 0 inf + 4330 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 944 * * [misc]simplify: Extracting #8: cost 4 inf + 2074 * * [misc]simplify: Extracting #9: cost 0 inf + 4088 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 856 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 88 * * [misc]simplify: Extracting #6: cost 6 inf + 1631 * * [misc]simplify: Extracting #7: cost 3 inf + 2317 * * [misc]simplify: Extracting #8: cost 0 inf + 3767 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 8 inf + 2962 * * [misc]simplify: Extracting #8: cost 0 inf + 6706 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 857 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 21 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 88 * * [misc]simplify: Extracting #7: cost 8 inf + 1023 * * [misc]simplify: Extracting #8: cost 3 inf + 2235 * * [misc]simplify: Extracting #9: cost 0 inf + 4007 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 5 inf + 4412 * * [misc]simplify: Extracting #8: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 858 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 46 * * [misc]simplify: Extracting #7: cost 8 inf + 899 * * [misc]simplify: Extracting #8: cost 2 inf + 2235 * * [misc]simplify: Extracting #9: cost 0 inf + 3323 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 2074 * * [misc]simplify: Extracting #8: cost 2 inf + 6140 * * [misc]simplify: Extracting #9: cost 0 inf + 7428 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 859 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 88 * * [misc]simplify: Extracting #7: cost 4 inf + 1025 * * [misc]simplify: Extracting #8: cost 1 inf + 1993 * * [misc]simplify: Extracting #9: cost 0 inf + 2517 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 9 inf + 2800 * * [misc]simplify: Extracting #8: cost 3 inf + 5376 * * [misc]simplify: Extracting #9: cost 0 inf + 6866 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 860 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 46 * * [misc]simplify: Extracting #7: cost 7 inf + 899 * * [misc]simplify: Extracting #8: cost 2 inf + 1873 * * [misc]simplify: Extracting #9: cost 0 inf + 2921 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 5 inf + 4252 * * [misc]simplify: Extracting #8: cost 0 inf + 6706 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 861 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 1025 * * [misc]simplify: Extracting #7: cost 0 inf + 1711 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 43 * * [misc]simplify: Extracting #6: cost 9 inf + 816 * * [misc]simplify: Extracting #7: cost 2 inf + 2598 * * [misc]simplify: Extracting #8: cost 0 inf + 3686 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 862 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 46 * * [misc]simplify: Extracting #7: cost 7 inf + 899 * * [misc]simplify: Extracting #8: cost 2 inf + 1873 * * [misc]simplify: Extracting #9: cost 0 inf + 2921 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 5 inf + 4252 * * [misc]simplify: Extracting #8: cost 0 inf + 6706 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 863 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 1025 * * [misc]simplify: Extracting #7: cost 0 inf + 1711 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 43 * * [misc]simplify: Extracting #6: cost 9 inf + 816 * * [misc]simplify: Extracting #7: cost 2 inf + 2598 * * [misc]simplify: Extracting #8: cost 0 inf + 3686 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 864 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 46 * * [misc]simplify: Extracting #7: cost 7 inf + 899 * * [misc]simplify: Extracting #8: cost 2 inf + 1873 * * [misc]simplify: Extracting #9: cost 0 inf + 2921 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 5 inf + 4252 * * [misc]simplify: Extracting #8: cost 0 inf + 6706 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 865 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 1025 * * [misc]simplify: Extracting #7: cost 0 inf + 1711 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 43 * * [misc]simplify: Extracting #6: cost 9 inf + 816 * * [misc]simplify: Extracting #7: cost 2 inf + 2598 * * [misc]simplify: Extracting #8: cost 0 inf + 3686 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 866 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 0 * * [misc]simplify: Extracting #3: cost 31 inf + 0 * * [misc]simplify: Extracting #4: cost 37 inf + 0 * * [misc]simplify: Extracting #5: cost 31 inf + 87 * * [misc]simplify: Extracting #6: cost 27 inf + 458 * * [misc]simplify: Extracting #7: cost 21 inf + 1630 * * [misc]simplify: Extracting #8: cost 12 inf + 5536 * * [misc]simplify: Extracting #9: cost 0 inf + 12134 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 10 inf + 2476 * * [misc]simplify: Extracting #8: cost 1 inf + 6824 * * [misc]simplify: Extracting #9: cost 0 inf + 7548 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 867 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 31 inf + 0 * * [misc]simplify: Extracting #5: cost 25 inf + 87 * * [misc]simplify: Extracting #6: cost 21 inf + 458 * * [misc]simplify: Extracting #7: cost 15 inf + 1630 * * [misc]simplify: Extracting #8: cost 6 inf + 5214 * * [misc]simplify: Extracting #9: cost 0 inf + 8474 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 2316 * * [misc]simplify: Extracting #8: cost 0 inf + 7950 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 868 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1630 * * [misc]simplify: Extracting #8: cost 7 inf + 3886 * * [misc]simplify: Extracting #9: cost 0 inf + 7630 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 10 inf + 2476 * * [misc]simplify: Extracting #8: cost 1 inf + 6704 * * [misc]simplify: Extracting #9: cost 0 inf + 7388 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 869 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 16 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 1186 * * [misc]simplify: Extracting #8: cost 5 inf + 2074 * * [misc]simplify: Extracting #9: cost 0 inf + 4330 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 944 * * [misc]simplify: Extracting #8: cost 4 inf + 2074 * * [misc]simplify: Extracting #9: cost 0 inf + 4088 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 870 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 88 * * [misc]simplify: Extracting #6: cost 7 inf + 1187 * * [misc]simplify: Extracting #7: cost 3 inf + 2317 * * [misc]simplify: Extracting #8: cost 0 inf + 3767 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 8 inf + 2962 * * [misc]simplify: Extracting #8: cost 0 inf + 6706 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 871 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 16 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 1186 * * [misc]simplify: Extracting #8: cost 5 inf + 2074 * * [misc]simplify: Extracting #9: cost 0 inf + 4330 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 944 * * [misc]simplify: Extracting #8: cost 4 inf + 2074 * * [misc]simplify: Extracting #9: cost 0 inf + 4088 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 872 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 46 * * [misc]simplify: Extracting #6: cost 9 inf + 899 * * [misc]simplify: Extracting #7: cost 6 inf + 1467 * * [misc]simplify: Extracting #8: cost 0 inf + 3767 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 8 inf + 2962 * * [misc]simplify: Extracting #8: cost 0 inf + 6706 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 873 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 16 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 1186 * * [misc]simplify: Extracting #8: cost 5 inf + 2074 * * [misc]simplify: Extracting #9: cost 0 inf + 4330 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 944 * * [misc]simplify: Extracting #8: cost 4 inf + 2074 * * [misc]simplify: Extracting #9: cost 0 inf + 4088 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 874 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 88 * * [misc]simplify: Extracting #6: cost 6 inf + 1631 * * [misc]simplify: Extracting #7: cost 3 inf + 2317 * * [misc]simplify: Extracting #8: cost 0 inf + 3767 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 8 inf + 2962 * * [misc]simplify: Extracting #8: cost 0 inf + 6706 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 875 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 25 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 88 * * [misc]simplify: Extracting #6: cost 15 inf + 459 * * [misc]simplify: Extracting #7: cost 10 inf + 1429 * * [misc]simplify: Extracting #8: cost 6 inf + 2841 * * [misc]simplify: Extracting #9: cost 0 inf + 5939 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 5 inf + 4412 * * [misc]simplify: Extracting #8: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 876 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 46 * * [misc]simplify: Extracting #6: cost 13 inf + 293 * * [misc]simplify: Extracting #7: cost 6 inf + 1751 * * [misc]simplify: Extracting #8: cost 1 inf + 3605 * * [misc]simplify: Extracting #9: cost 0 inf + 4249 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 2074 * * [misc]simplify: Extracting #8: cost 2 inf + 6140 * * [misc]simplify: Extracting #9: cost 0 inf + 7428 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 877 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 129 * * [misc]simplify: Extracting #6: cost 6 inf + 1025 * * [misc]simplify: Extracting #7: cost 3 inf + 1993 * * [misc]simplify: Extracting #8: cost 0 inf + 3323 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 9 inf + 2800 * * [misc]simplify: Extracting #8: cost 3 inf + 5376 * * [misc]simplify: Extracting #9: cost 0 inf + 6866 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 878 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 88 * * [misc]simplify: Extracting #6: cost 8 inf + 1025 * * [misc]simplify: Extracting #7: cost 3 inf + 2317 * * [misc]simplify: Extracting #8: cost 0 inf + 3767 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 5 inf + 4252 * * [misc]simplify: Extracting #8: cost 0 inf + 6706 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 879 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 1025 * * [misc]simplify: Extracting #7: cost 0 inf + 1711 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 43 * * [misc]simplify: Extracting #6: cost 9 inf + 816 * * [misc]simplify: Extracting #7: cost 2 inf + 2598 * * [misc]simplify: Extracting #8: cost 0 inf + 3686 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 880 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 88 * * [misc]simplify: Extracting #6: cost 8 inf + 1025 * * [misc]simplify: Extracting #7: cost 3 inf + 2317 * * [misc]simplify: Extracting #8: cost 0 inf + 3767 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 5 inf + 4252 * * [misc]simplify: Extracting #8: cost 0 inf + 6706 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 881 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 1025 * * [misc]simplify: Extracting #7: cost 0 inf + 1711 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 43 * * [misc]simplify: Extracting #6: cost 9 inf + 816 * * [misc]simplify: Extracting #7: cost 2 inf + 2598 * * [misc]simplify: Extracting #8: cost 0 inf + 3686 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 882 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 88 * * [misc]simplify: Extracting #6: cost 8 inf + 1025 * * [misc]simplify: Extracting #7: cost 3 inf + 2317 * * [misc]simplify: Extracting #8: cost 0 inf + 3767 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 5 inf + 4252 * * [misc]simplify: Extracting #8: cost 0 inf + 6706 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 883 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 1025 * * [misc]simplify: Extracting #7: cost 0 inf + 1711 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 43 * * [misc]simplify: Extracting #6: cost 9 inf + 816 * * [misc]simplify: Extracting #7: cost 2 inf + 2598 * * [misc]simplify: Extracting #8: cost 0 inf + 3686 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 884 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 3 * * [misc]simplify: Extracting #5: cost 26 inf + 3 * * [misc]simplify: Extracting #6: cost 20 inf + 90 * * [misc]simplify: Extracting #7: cost 16 inf + 461 * * [misc]simplify: Extracting #8: cost 13 inf + 947 * * [misc]simplify: Extracting #9: cost 4 inf + 4455 * * [misc]simplify: Extracting #10: cost 0 inf + 6187 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 742 * * [misc]simplify: Extracting #8: cost 4 inf + 2154 * * [misc]simplify: Extracting #9: cost 0 inf + 3846 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 885 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 28 inf + 0 * * [misc]simplify: Extracting #3: cost 31 inf + 0 * * [misc]simplify: Extracting #4: cost 37 inf + 0 * * [misc]simplify: Extracting #5: cost 32 inf + 46 * * [misc]simplify: Extracting #6: cost 27 inf + 458 * * [misc]simplify: Extracting #7: cost 22 inf + 1468 * * [misc]simplify: Extracting #8: cost 5 inf + 9400 * * [misc]simplify: Extracting #9: cost 0 inf + 12176 * [exit]simplify: Simplified to (/ (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1590 * * [misc]simplify: Extracting #8: cost 5 inf + 4450 * * [misc]simplify: Extracting #9: cost 0 inf + 7146 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))))) * * * * [misc]progress: [ 886 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 0 * * [misc]simplify: Extracting #3: cost 32 inf + 0 * * [misc]simplify: Extracting #4: cost 38 inf + 0 * * [misc]simplify: Extracting #5: cost 32 inf + 87 * * [misc]simplify: Extracting #6: cost 28 inf + 458 * * [misc]simplify: Extracting #7: cost 23 inf + 1550 * * [misc]simplify: Extracting #8: cost 13 inf + 5578 * * [misc]simplify: Extracting #9: cost 1 inf + 12176 * * [misc]simplify: Extracting #10: cost 0 inf + 12738 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1550 * * [misc]simplify: Extracting #8: cost 8 inf + 3404 * * [misc]simplify: Extracting #9: cost 1 inf + 6864 * * [misc]simplify: Extracting #10: cost 0 inf + 7588 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 887 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 26 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 35 inf + 0 * * [misc]simplify: Extracting #5: cost 29 inf + 87 * * [misc]simplify: Extracting #6: cost 25 inf + 458 * * [misc]simplify: Extracting #7: cost 24 inf + 580 * * [misc]simplify: Extracting #8: cost 21 inf + 1348 * * [misc]simplify: Extracting #9: cost 11 inf + 5012 * * [misc]simplify: Extracting #10: cost 0 inf + 10772 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 9 inf + 2518 * * [misc]simplify: Extracting #8: cost 0 inf + 6344 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 888 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 46 * * [misc]simplify: Extracting #6: cost 12 inf + 455 * * [misc]simplify: Extracting #7: cost 6 inf + 1953 * * [misc]simplify: Extracting #8: cost 0 inf + 4733 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 742 * * [misc]simplify: Extracting #7: cost 2 inf + 3364 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 889 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 26 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 35 inf + 0 * * [misc]simplify: Extracting #5: cost 29 inf + 87 * * [misc]simplify: Extracting #6: cost 25 inf + 458 * * [misc]simplify: Extracting #7: cost 24 inf + 580 * * [misc]simplify: Extracting #8: cost 21 inf + 1348 * * [misc]simplify: Extracting #9: cost 11 inf + 5012 * * [misc]simplify: Extracting #10: cost 0 inf + 10772 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 9 inf + 2518 * * [misc]simplify: Extracting #8: cost 0 inf + 6344 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 890 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 5 * * [misc]simplify: Extracting #6: cost 14 inf + 171 * * [misc]simplify: Extracting #7: cost 11 inf + 579 * * [misc]simplify: Extracting #8: cost 8 inf + 1227 * * [misc]simplify: Extracting #9: cost 2 inf + 3645 * * [misc]simplify: Extracting #10: cost 0 inf + 4733 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 742 * * [misc]simplify: Extracting #7: cost 2 inf + 3364 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 891 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 26 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 35 inf + 0 * * [misc]simplify: Extracting #5: cost 29 inf + 87 * * [misc]simplify: Extracting #6: cost 25 inf + 458 * * [misc]simplify: Extracting #7: cost 24 inf + 580 * * [misc]simplify: Extracting #8: cost 21 inf + 1348 * * [misc]simplify: Extracting #9: cost 11 inf + 5012 * * [misc]simplify: Extracting #10: cost 0 inf + 10772 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 9 inf + 2518 * * [misc]simplify: Extracting #8: cost 0 inf + 6344 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 892 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 88 * * [misc]simplify: Extracting #6: cost 10 inf + 781 * * [misc]simplify: Extracting #7: cost 6 inf + 1953 * * [misc]simplify: Extracting #8: cost 0 inf + 4733 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 742 * * [misc]simplify: Extracting #7: cost 2 inf + 3364 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 893 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 36 inf + 0 * * [misc]simplify: Extracting #5: cost 30 inf + 87 * * [misc]simplify: Extracting #6: cost 26 inf + 458 * * [misc]simplify: Extracting #7: cost 22 inf + 1348 * * [misc]simplify: Extracting #8: cost 14 inf + 4046 * * [misc]simplify: Extracting #9: cost 0 inf + 11612 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1348 * * [misc]simplify: Extracting #8: cost 4 inf + 5254 * * [misc]simplify: Extracting #9: cost 0 inf + 7146 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 894 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 87 * * [misc]simplify: Extracting #7: cost 9 inf + 742 * * [misc]simplify: Extracting #8: cost 2 inf + 3000 * * [misc]simplify: Extracting #9: cost 0 inf + 4128 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 742 * * [misc]simplify: Extracting #8: cost 4 inf + 1872 * * [misc]simplify: Extracting #9: cost 0 inf + 3806 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 895 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 31 inf + 0 * * [misc]simplify: Extracting #5: cost 25 inf + 87 * * [misc]simplify: Extracting #6: cost 21 inf + 458 * * [misc]simplify: Extracting #7: cost 15 inf + 1792 * * [misc]simplify: Extracting #8: cost 8 inf + 4008 * * [misc]simplify: Extracting #9: cost 0 inf + 8514 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 14 inf + 1550 * * [misc]simplify: Extracting #8: cost 8 inf + 3726 * * [misc]simplify: Extracting #9: cost 0 inf + 7990 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 896 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 14 inf + 1348 * * [misc]simplify: Extracting #8: cost 7 inf + 3606 * * [misc]simplify: Extracting #9: cost 0 inf + 7108 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1348 * * [misc]simplify: Extracting #8: cost 4 inf + 5054 * * [misc]simplify: Extracting #9: cost 0 inf + 6826 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 897 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 87 * * [misc]simplify: Extracting #6: cost 10 inf + 455 * * [misc]simplify: Extracting #7: cost 5 inf + 1587 * * [misc]simplify: Extracting #8: cost 1 inf + 3001 * * [misc]simplify: Extracting #9: cost 0 inf + 3565 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 454 * * [misc]simplify: Extracting #7: cost 5 inf + 2236 * * [misc]simplify: Extracting #8: cost 0 inf + 4492 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 898 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 14 inf + 1348 * * [misc]simplify: Extracting #8: cost 7 inf + 3606 * * [misc]simplify: Extracting #9: cost 0 inf + 7108 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1348 * * [misc]simplify: Extracting #8: cost 4 inf + 5054 * * [misc]simplify: Extracting #9: cost 0 inf + 6826 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 899 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 88 * * [misc]simplify: Extracting #6: cost 8 inf + 743 * * [misc]simplify: Extracting #7: cost 3 inf + 2235 * * [misc]simplify: Extracting #8: cost 0 inf + 3565 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 454 * * [misc]simplify: Extracting #7: cost 5 inf + 2236 * * [misc]simplify: Extracting #8: cost 0 inf + 4492 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 900 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 14 inf + 1348 * * [misc]simplify: Extracting #8: cost 7 inf + 3606 * * [misc]simplify: Extracting #9: cost 0 inf + 7108 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1348 * * [misc]simplify: Extracting #8: cost 4 inf + 5054 * * [misc]simplify: Extracting #9: cost 0 inf + 6826 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 901 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 46 * * [misc]simplify: Extracting #6: cost 10 inf + 455 * * [misc]simplify: Extracting #7: cost 4 inf + 1751 * * [misc]simplify: Extracting #8: cost 1 inf + 3001 * * [misc]simplify: Extracting #9: cost 0 inf + 3565 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 454 * * [misc]simplify: Extracting #7: cost 5 inf + 2236 * * [misc]simplify: Extracting #8: cost 0 inf + 4492 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 902 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 26 inf + 0 * * [misc]simplify: Extracting #3: cost 31 inf + 0 * * [misc]simplify: Extracting #4: cost 37 inf + 0 * * [misc]simplify: Extracting #5: cost 31 inf + 87 * * [misc]simplify: Extracting #6: cost 27 inf + 458 * * [misc]simplify: Extracting #7: cost 20 inf + 2034 * * [misc]simplify: Extracting #8: cost 11 inf + 5780 * * [misc]simplify: Extracting #9: cost 0 inf + 12174 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 10 inf + 2476 * * [misc]simplify: Extracting #8: cost 1 inf + 6864 * * [misc]simplify: Extracting #9: cost 0 inf + 7588 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 903 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 31 inf + 0 * * [misc]simplify: Extracting #5: cost 25 inf + 87 * * [misc]simplify: Extracting #6: cost 21 inf + 458 * * [misc]simplify: Extracting #7: cost 14 inf + 2034 * * [misc]simplify: Extracting #8: cost 7 inf + 4650 * * [misc]simplify: Extracting #9: cost 0 inf + 8514 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 2074 * * [misc]simplify: Extracting #8: cost 8 inf + 3806 * * [misc]simplify: Extracting #9: cost 0 inf + 7990 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 904 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 16 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 1428 * * [misc]simplify: Extracting #8: cost 2 inf + 3404 * * [misc]simplify: Extracting #9: cost 0 inf + 4370 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 944 * * [misc]simplify: Extracting #8: cost 4 inf + 2074 * * [misc]simplify: Extracting #9: cost 0 inf + 4128 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 905 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 2034 * * [misc]simplify: Extracting #8: cost 6 inf + 4210 * * [misc]simplify: Extracting #9: cost 0 inf + 7510 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 10 inf + 2476 * * [misc]simplify: Extracting #8: cost 1 inf + 6584 * * [misc]simplify: Extracting #9: cost 0 inf + 7268 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 906 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 88 * * [misc]simplify: Extracting #6: cost 13 inf + 171 * * [misc]simplify: Extracting #7: cost 6 inf + 1547 * * [misc]simplify: Extracting #8: cost 3 inf + 2315 * * [misc]simplify: Extracting #9: cost 0 inf + 3807 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 45 * * [misc]simplify: Extracting #6: cost 11 inf + 898 * * [misc]simplify: Extracting #7: cost 5 inf + 2436 * * [misc]simplify: Extracting #8: cost 0 inf + 4854 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 907 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 2034 * * [misc]simplify: Extracting #8: cost 6 inf + 4210 * * [misc]simplify: Extracting #9: cost 0 inf + 7510 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 10 inf + 2476 * * [misc]simplify: Extracting #8: cost 1 inf + 6584 * * [misc]simplify: Extracting #9: cost 0 inf + 7268 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 908 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 8 inf + 1141 * * [misc]simplify: Extracting #7: cost 3 inf + 2315 * * [misc]simplify: Extracting #8: cost 0 inf + 3807 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 45 * * [misc]simplify: Extracting #6: cost 11 inf + 898 * * [misc]simplify: Extracting #7: cost 5 inf + 2436 * * [misc]simplify: Extracting #8: cost 0 inf + 4854 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 909 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 2034 * * [misc]simplify: Extracting #8: cost 6 inf + 4210 * * [misc]simplify: Extracting #9: cost 0 inf + 7510 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 10 inf + 2476 * * [misc]simplify: Extracting #8: cost 1 inf + 6584 * * [misc]simplify: Extracting #9: cost 0 inf + 7268 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 910 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 88 * * [misc]simplify: Extracting #6: cost 5 inf + 1711 * * [misc]simplify: Extracting #7: cost 2 inf + 2801 * * [misc]simplify: Extracting #8: cost 0 inf + 3807 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 45 * * [misc]simplify: Extracting #6: cost 11 inf + 898 * * [misc]simplify: Extracting #7: cost 5 inf + 2436 * * [misc]simplify: Extracting #8: cost 0 inf + 4854 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 911 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 34 inf + 0 * * [misc]simplify: Extracting #5: cost 28 inf + 87 * * [misc]simplify: Extracting #6: cost 24 inf + 458 * * [misc]simplify: Extracting #7: cost 18 inf + 2154 * * [misc]simplify: Extracting #8: cost 5 inf + 7632 * * [misc]simplify: Extracting #9: cost 0 inf + 10208 * [exit]simplify: Simplified to (/ (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 9 inf + 2638 * * [misc]simplify: Extracting #8: cost 0 inf + 6344 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 912 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1590 * * [misc]simplify: Extracting #8: cost 4 inf + 5136 * * [misc]simplify: Extracting #9: cost 0 inf + 7108 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1590 * * [misc]simplify: Extracting #8: cost 5 inf + 4250 * * [misc]simplify: Extracting #9: cost 0 inf + 6826 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))))) * * * * [misc]progress: [ 913 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 14 inf + 1550 * * [misc]simplify: Extracting #8: cost 8 inf + 3486 * * [misc]simplify: Extracting #9: cost 0 inf + 7510 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1550 * * [misc]simplify: Extracting #8: cost 8 inf + 3244 * * [misc]simplify: Extracting #9: cost 1 inf + 6584 * * [misc]simplify: Extracting #10: cost 0 inf + 7268 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 914 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 915 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 88 * * [misc]simplify: Extracting #6: cost 6 inf + 743 * * [misc]simplify: Extracting #7: cost 4 inf + 1349 * * [misc]simplify: Extracting #8: cost 1 inf + 2317 * * [misc]simplify: Extracting #9: cost 0 inf + 2801 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 742 * * [misc]simplify: Extracting #7: cost 2 inf + 3204 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 916 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 917 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 88 * * [misc]simplify: Extracting #6: cost 7 inf + 579 * * [misc]simplify: Extracting #7: cost 0 inf + 2801 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 742 * * [misc]simplify: Extracting #7: cost 2 inf + 3204 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 918 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 919 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 46 * * [misc]simplify: Extracting #6: cost 8 inf + 455 * * [misc]simplify: Extracting #7: cost 1 inf + 2317 * * [misc]simplify: Extracting #8: cost 0 inf + 2801 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 742 * * [misc]simplify: Extracting #7: cost 2 inf + 3204 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 920 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 88 * * [misc]simplify: Extracting #7: cost 8 inf + 743 * * [misc]simplify: Extracting #8: cost 5 inf + 1549 * * [misc]simplify: Extracting #9: cost 0 inf + 3847 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1630 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 921 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 46 * * [misc]simplify: Extracting #7: cost 8 inf + 455 * * [misc]simplify: Extracting #8: cost 3 inf + 1469 * * [misc]simplify: Extracting #9: cost 0 inf + 2719 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 984 * * [misc]simplify: Extracting #7: cost 3 inf + 3162 * * [misc]simplify: Extracting #8: cost 0 inf + 4492 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 922 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 5 inf + 1305 * * [misc]simplify: Extracting #8: cost 2 inf + 1913 * * [misc]simplify: Extracting #9: cost 0 inf + 2921 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 170 * * [misc]simplify: Extracting #7: cost 11 inf + 782 * * [misc]simplify: Extracting #8: cost 6 inf + 2156 * * [misc]simplify: Extracting #9: cost 0 inf + 4854 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 923 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 88 * * [misc]simplify: Extracting #7: cost 4 inf + 743 * * [misc]simplify: Extracting #8: cost 2 inf + 1187 * * [misc]simplify: Extracting #9: cost 0 inf + 2075 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1590 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 924 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 743 * * [misc]simplify: Extracting #7: cost 1 inf + 945 * * [misc]simplify: Extracting #8: cost 0 inf + 1349 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1792 * * [misc]simplify: Extracting #8: cost 0 inf + 2156 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 925 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 88 * * [misc]simplify: Extracting #7: cost 4 inf + 743 * * [misc]simplify: Extracting #8: cost 2 inf + 1187 * * [misc]simplify: Extracting #9: cost 0 inf + 2075 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1590 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 926 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 743 * * [misc]simplify: Extracting #7: cost 1 inf + 945 * * [misc]simplify: Extracting #8: cost 0 inf + 1349 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1792 * * [misc]simplify: Extracting #8: cost 0 inf + 2156 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 927 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 88 * * [misc]simplify: Extracting #7: cost 4 inf + 743 * * [misc]simplify: Extracting #8: cost 2 inf + 1187 * * [misc]simplify: Extracting #9: cost 0 inf + 2075 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1590 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 928 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 743 * * [misc]simplify: Extracting #7: cost 0 inf + 1349 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1792 * * [misc]simplify: Extracting #8: cost 0 inf + 2156 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 929 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 34 inf + 0 * * [misc]simplify: Extracting #5: cost 28 inf + 87 * * [misc]simplify: Extracting #6: cost 24 inf + 458 * * [misc]simplify: Extracting #7: cost 18 inf + 2154 * * [misc]simplify: Extracting #8: cost 5 inf + 7632 * * [misc]simplify: Extracting #9: cost 0 inf + 10208 * [exit]simplify: Simplified to (/ (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 9 inf + 2638 * * [misc]simplify: Extracting #8: cost 0 inf + 6344 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 930 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1590 * * [misc]simplify: Extracting #8: cost 4 inf + 5136 * * [misc]simplify: Extracting #9: cost 0 inf + 7108 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1590 * * [misc]simplify: Extracting #8: cost 5 inf + 4250 * * [misc]simplify: Extracting #9: cost 0 inf + 6826 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))))) * * * * [misc]progress: [ 931 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 14 inf + 1550 * * [misc]simplify: Extracting #8: cost 8 inf + 3486 * * [misc]simplify: Extracting #9: cost 0 inf + 7510 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1550 * * [misc]simplify: Extracting #8: cost 8 inf + 3244 * * [misc]simplify: Extracting #9: cost 1 inf + 6584 * * [misc]simplify: Extracting #10: cost 0 inf + 7268 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 932 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 933 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 88 * * [misc]simplify: Extracting #6: cost 6 inf + 743 * * [misc]simplify: Extracting #7: cost 4 inf + 1349 * * [misc]simplify: Extracting #8: cost 1 inf + 2317 * * [misc]simplify: Extracting #9: cost 0 inf + 2801 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 742 * * [misc]simplify: Extracting #7: cost 2 inf + 3204 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 934 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 935 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 88 * * [misc]simplify: Extracting #6: cost 7 inf + 579 * * [misc]simplify: Extracting #7: cost 0 inf + 2801 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 742 * * [misc]simplify: Extracting #7: cost 2 inf + 3204 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 936 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 937 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 46 * * [misc]simplify: Extracting #6: cost 8 inf + 455 * * [misc]simplify: Extracting #7: cost 1 inf + 2317 * * [misc]simplify: Extracting #8: cost 0 inf + 2801 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 742 * * [misc]simplify: Extracting #7: cost 2 inf + 3204 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 938 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 5 * * [misc]simplify: Extracting #7: cost 12 inf + 171 * * [misc]simplify: Extracting #8: cost 9 inf + 579 * * [misc]simplify: Extracting #9: cost 6 inf + 1227 * * [misc]simplify: Extracting #10: cost 1 inf + 3283 * * [misc]simplify: Extracting #11: cost 0 inf + 3847 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1630 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 939 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 88 * * [misc]simplify: Extracting #7: cost 6 inf + 743 * * [misc]simplify: Extracting #8: cost 2 inf + 1751 * * [misc]simplify: Extracting #9: cost 0 inf + 2719 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 984 * * [misc]simplify: Extracting #7: cost 3 inf + 3162 * * [misc]simplify: Extracting #8: cost 0 inf + 4492 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 940 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 46 * * [misc]simplify: Extracting #7: cost 9 inf + 455 * * [misc]simplify: Extracting #8: cost 2 inf + 1913 * * [misc]simplify: Extracting #9: cost 1 inf + 2317 * * [misc]simplify: Extracting #10: cost 0 inf + 2921 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 170 * * [misc]simplify: Extracting #7: cost 11 inf + 782 * * [misc]simplify: Extracting #8: cost 6 inf + 2156 * * [misc]simplify: Extracting #9: cost 0 inf + 4854 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 941 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 88 * * [misc]simplify: Extracting #7: cost 4 inf + 743 * * [misc]simplify: Extracting #8: cost 0 inf + 2075 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1590 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 942 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 743 * * [misc]simplify: Extracting #7: cost 0 inf + 1349 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1792 * * [misc]simplify: Extracting #8: cost 0 inf + 2156 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 943 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 88 * * [misc]simplify: Extracting #7: cost 4 inf + 743 * * [misc]simplify: Extracting #8: cost 0 inf + 2075 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1590 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 944 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 743 * * [misc]simplify: Extracting #7: cost 1 inf + 945 * * [misc]simplify: Extracting #8: cost 0 inf + 1349 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1792 * * [misc]simplify: Extracting #8: cost 0 inf + 2156 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 945 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 88 * * [misc]simplify: Extracting #7: cost 4 inf + 743 * * [misc]simplify: Extracting #8: cost 0 inf + 2075 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1590 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 946 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 743 * * [misc]simplify: Extracting #7: cost 1 inf + 945 * * [misc]simplify: Extracting #8: cost 0 inf + 1349 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1792 * * [misc]simplify: Extracting #8: cost 0 inf + 2156 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 947 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 34 inf + 0 * * [misc]simplify: Extracting #5: cost 28 inf + 87 * * [misc]simplify: Extracting #6: cost 24 inf + 458 * * [misc]simplify: Extracting #7: cost 18 inf + 2154 * * [misc]simplify: Extracting #8: cost 5 inf + 7632 * * [misc]simplify: Extracting #9: cost 0 inf + 10208 * [exit]simplify: Simplified to (/ (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 9 inf + 2638 * * [misc]simplify: Extracting #8: cost 0 inf + 6344 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 948 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1590 * * [misc]simplify: Extracting #8: cost 4 inf + 5136 * * [misc]simplify: Extracting #9: cost 0 inf + 7108 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1590 * * [misc]simplify: Extracting #8: cost 5 inf + 4250 * * [misc]simplify: Extracting #9: cost 0 inf + 6826 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))))) * * * * [misc]progress: [ 949 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 14 inf + 1550 * * [misc]simplify: Extracting #8: cost 8 inf + 3486 * * [misc]simplify: Extracting #9: cost 0 inf + 7510 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1550 * * [misc]simplify: Extracting #8: cost 8 inf + 3244 * * [misc]simplify: Extracting #9: cost 1 inf + 6584 * * [misc]simplify: Extracting #10: cost 0 inf + 7268 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 950 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 951 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 88 * * [misc]simplify: Extracting #6: cost 6 inf + 743 * * [misc]simplify: Extracting #7: cost 4 inf + 1349 * * [misc]simplify: Extracting #8: cost 1 inf + 2317 * * [misc]simplify: Extracting #9: cost 0 inf + 2801 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 742 * * [misc]simplify: Extracting #7: cost 2 inf + 3204 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 952 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 953 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 88 * * [misc]simplify: Extracting #6: cost 7 inf + 579 * * [misc]simplify: Extracting #7: cost 0 inf + 2801 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 742 * * [misc]simplify: Extracting #7: cost 2 inf + 3204 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 954 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 955 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 46 * * [misc]simplify: Extracting #6: cost 8 inf + 455 * * [misc]simplify: Extracting #7: cost 1 inf + 2317 * * [misc]simplify: Extracting #8: cost 0 inf + 2801 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 742 * * [misc]simplify: Extracting #7: cost 2 inf + 3204 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 956 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 88 * * [misc]simplify: Extracting #6: cost 12 inf + 455 * * [misc]simplify: Extracting #7: cost 5 inf + 2437 * * [misc]simplify: Extracting #8: cost 0 inf + 4733 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1630 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 957 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 5 * * [misc]simplify: Extracting #6: cost 12 inf + 171 * * [misc]simplify: Extracting #7: cost 8 inf + 743 * * [misc]simplify: Extracting #8: cost 2 inf + 2719 * * [misc]simplify: Extracting #9: cost 0 inf + 3565 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 984 * * [misc]simplify: Extracting #7: cost 3 inf + 3162 * * [misc]simplify: Extracting #8: cost 0 inf + 4492 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 958 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 46 * * [misc]simplify: Extracting #6: cost 8 inf + 1181 * * [misc]simplify: Extracting #7: cost 4 inf + 1913 * * [misc]simplify: Extracting #8: cost 0 inf + 3807 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 170 * * [misc]simplify: Extracting #7: cost 11 inf + 782 * * [misc]simplify: Extracting #8: cost 6 inf + 2156 * * [misc]simplify: Extracting #9: cost 0 inf + 4854 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 959 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 88 * * [misc]simplify: Extracting #6: cost 6 inf + 743 * * [misc]simplify: Extracting #7: cost 4 inf + 1349 * * [misc]simplify: Extracting #8: cost 2 inf + 1873 * * [misc]simplify: Extracting #9: cost 0 inf + 2801 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1590 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 960 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 743 * * [misc]simplify: Extracting #7: cost 0 inf + 1349 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1792 * * [misc]simplify: Extracting #8: cost 0 inf + 2156 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 961 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 88 * * [misc]simplify: Extracting #6: cost 6 inf + 743 * * [misc]simplify: Extracting #7: cost 4 inf + 1349 * * [misc]simplify: Extracting #8: cost 2 inf + 1873 * * [misc]simplify: Extracting #9: cost 0 inf + 2801 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1590 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 962 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 743 * * [misc]simplify: Extracting #7: cost 0 inf + 1349 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1792 * * [misc]simplify: Extracting #8: cost 0 inf + 2156 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 963 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 88 * * [misc]simplify: Extracting #6: cost 6 inf + 743 * * [misc]simplify: Extracting #7: cost 4 inf + 1349 * * [misc]simplify: Extracting #8: cost 2 inf + 1873 * * [misc]simplify: Extracting #9: cost 0 inf + 2801 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1590 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 964 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 743 * * [misc]simplify: Extracting #7: cost 0 inf + 1349 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1792 * * [misc]simplify: Extracting #8: cost 0 inf + 2156 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 965 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 3 * * [misc]simplify: Extracting #4: cost 21 inf + 3 * * [misc]simplify: Extracting #5: cost 15 inf + 90 * * [misc]simplify: Extracting #6: cost 11 inf + 419 * * [misc]simplify: Extracting #7: cost 5 inf + 2035 * * [misc]simplify: Extracting #8: cost 0 inf + 4333 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 944 * * [misc]simplify: Extracting #8: cost 4 inf + 2114 * * [misc]simplify: Extracting #9: cost 0 inf + 3806 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 966 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 24 inf + 1 * * [misc]simplify: Extracting #5: cost 21 inf + 47 * * [misc]simplify: Extracting #6: cost 15 inf + 581 * * [misc]simplify: Extracting #7: cost 11 inf + 1549 * * [misc]simplify: Extracting #8: cost 4 inf + 4370 * * [misc]simplify: Extracting #9: cost 0 inf + 6664 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1550 * * [misc]simplify: Extracting #8: cost 5 inf + 4410 * * [misc]simplify: Extracting #9: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 967 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 25 inf + 1 * * [misc]simplify: Extracting #5: cost 22 inf + 47 * * [misc]simplify: Extracting #6: cost 16 inf + 581 * * [misc]simplify: Extracting #7: cost 10 inf + 1913 * * [misc]simplify: Extracting #8: cost 3 inf + 5215 * * [misc]simplify: Extracting #9: cost 0 inf + 6986 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1510 * * [misc]simplify: Extracting #8: cost 8 inf + 3364 * * [misc]simplify: Extracting #9: cost 2 inf + 6222 * * [misc]simplify: Extracting #10: cost 0 inf + 7468 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 968 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 47 * * [misc]simplify: Extracting #6: cost 13 inf + 581 * * [misc]simplify: Extracting #7: cost 10 inf + 1227 * * [misc]simplify: Extracting #8: cost 2 inf + 4894 * * [misc]simplify: Extracting #9: cost 0 inf + 5740 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1308 * * [misc]simplify: Extracting #8: cost 5 inf + 4048 * * [misc]simplify: Extracting #9: cost 0 inf + 6304 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 969 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 47 * * [misc]simplify: Extracting #6: cost 6 inf + 581 * * [misc]simplify: Extracting #7: cost 4 inf + 945 * * [misc]simplify: Extracting #8: cost 3 inf + 1227 * * [misc]simplify: Extracting #9: cost 0 inf + 2557 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 2 inf + 5098 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 970 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 47 * * [misc]simplify: Extracting #6: cost 13 inf + 581 * * [misc]simplify: Extracting #7: cost 10 inf + 1227 * * [misc]simplify: Extracting #8: cost 2 inf + 4894 * * [misc]simplify: Extracting #9: cost 0 inf + 5740 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1308 * * [misc]simplify: Extracting #8: cost 5 inf + 4048 * * [misc]simplify: Extracting #9: cost 0 inf + 6304 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 971 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 47 * * [misc]simplify: Extracting #6: cost 6 inf + 581 * * [misc]simplify: Extracting #7: cost 4 inf + 945 * * [misc]simplify: Extracting #8: cost 1 inf + 2033 * * [misc]simplify: Extracting #9: cost 0 inf + 2557 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 2 inf + 5098 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 972 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 47 * * [misc]simplify: Extracting #6: cost 13 inf + 581 * * [misc]simplify: Extracting #7: cost 10 inf + 1227 * * [misc]simplify: Extracting #8: cost 2 inf + 4894 * * [misc]simplify: Extracting #9: cost 0 inf + 5740 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1308 * * [misc]simplify: Extracting #8: cost 5 inf + 4048 * * [misc]simplify: Extracting #9: cost 0 inf + 6304 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 973 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 47 * * [misc]simplify: Extracting #6: cost 6 inf + 581 * * [misc]simplify: Extracting #7: cost 4 inf + 945 * * [misc]simplify: Extracting #8: cost 1 inf + 2033 * * [misc]simplify: Extracting #9: cost 0 inf + 2557 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 2 inf + 5098 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 974 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 23 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 47 * * [misc]simplify: Extracting #6: cost 14 inf + 581 * * [misc]simplify: Extracting #7: cost 10 inf + 1549 * * [misc]simplify: Extracting #8: cost 6 inf + 2839 * * [misc]simplify: Extracting #9: cost 0 inf + 6099 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1550 * * [misc]simplify: Extracting #8: cost 5 inf + 4410 * * [misc]simplify: Extracting #9: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 975 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 47 * * [misc]simplify: Extracting #6: cost 6 inf + 581 * * [misc]simplify: Extracting #7: cost 4 inf + 985 * * [misc]simplify: Extracting #8: cost 1 inf + 2033 * * [misc]simplify: Extracting #9: cost 0 inf + 2517 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 742 * * [misc]simplify: Extracting #8: cost 2 inf + 2638 * * [misc]simplify: Extracting #9: cost 0 inf + 3444 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 976 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 47 * * [misc]simplify: Extracting #6: cost 12 inf + 581 * * [misc]simplify: Extracting #7: cost 5 inf + 2235 * * [misc]simplify: Extracting #8: cost 2 inf + 3483 * * [misc]simplify: Extracting #9: cost 0 inf + 4651 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1550 * * [misc]simplify: Extracting #8: cost 8 inf + 3404 * * [misc]simplify: Extracting #9: cost 2 inf + 6262 * * [misc]simplify: Extracting #10: cost 0 inf + 7508 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 977 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 5 * * [misc]simplify: Extracting #6: cost 12 inf + 293 * * [misc]simplify: Extracting #7: cost 8 inf + 985 * * [misc]simplify: Extracting #8: cost 3 inf + 2477 * * [misc]simplify: Extracting #9: cost 0 inf + 3927 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1550 * * [misc]simplify: Extracting #8: cost 5 inf + 4290 * * [misc]simplify: Extracting #9: cost 0 inf + 6706 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 978 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 581 * * [misc]simplify: Extracting #7: cost 3 inf + 985 * * [misc]simplify: Extracting #8: cost 0 inf + 2033 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 10 inf + 1994 * * [misc]simplify: Extracting #8: cost 0 inf + 6184 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 979 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 5 * * [misc]simplify: Extracting #6: cost 12 inf + 293 * * [misc]simplify: Extracting #7: cost 8 inf + 985 * * [misc]simplify: Extracting #8: cost 3 inf + 2477 * * [misc]simplify: Extracting #9: cost 0 inf + 3927 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1550 * * [misc]simplify: Extracting #8: cost 5 inf + 4290 * * [misc]simplify: Extracting #9: cost 0 inf + 6706 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 980 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 581 * * [misc]simplify: Extracting #7: cost 3 inf + 985 * * [misc]simplify: Extracting #8: cost 0 inf + 2033 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 10 inf + 1994 * * [misc]simplify: Extracting #8: cost 0 inf + 6184 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 981 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 5 * * [misc]simplify: Extracting #6: cost 12 inf + 293 * * [misc]simplify: Extracting #7: cost 8 inf + 985 * * [misc]simplify: Extracting #8: cost 3 inf + 2477 * * [misc]simplify: Extracting #9: cost 0 inf + 3927 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1550 * * [misc]simplify: Extracting #8: cost 5 inf + 4290 * * [misc]simplify: Extracting #9: cost 0 inf + 6706 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 982 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 581 * * [misc]simplify: Extracting #7: cost 3 inf + 985 * * [misc]simplify: Extracting #8: cost 0 inf + 2033 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 10 inf + 1994 * * [misc]simplify: Extracting #8: cost 0 inf + 6184 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 983 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 24 inf + 1 * * [misc]simplify: Extracting #5: cost 21 inf + 47 * * [misc]simplify: Extracting #6: cost 15 inf + 581 * * [misc]simplify: Extracting #7: cost 10 inf + 1631 * * [misc]simplify: Extracting #8: cost 6 inf + 3001 * * [misc]simplify: Extracting #9: cost 0 inf + 6421 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1510 * * [misc]simplify: Extracting #8: cost 4 inf + 5376 * * [misc]simplify: Extracting #9: cost 0 inf + 7468 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 984 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 47 * * [misc]simplify: Extracting #6: cost 12 inf + 581 * * [misc]simplify: Extracting #7: cost 7 inf + 1671 * * [misc]simplify: Extracting #8: cost 3 inf + 2999 * * [misc]simplify: Extracting #9: cost 0 inf + 4651 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1550 * * [misc]simplify: Extracting #8: cost 4 inf + 5416 * * [misc]simplify: Extracting #9: cost 0 inf + 7508 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 985 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 251 * * [misc]simplify: Extracting #6: cost 3 inf + 1267 * * [misc]simplify: Extracting #7: cost 0 inf + 2477 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 944 * * [misc]simplify: Extracting #8: cost 4 inf + 1832 * * [misc]simplify: Extracting #9: cost 0 inf + 3766 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 986 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 5 * * [misc]simplify: Extracting #6: cost 13 inf + 293 * * [misc]simplify: Extracting #7: cost 5 inf + 1913 * * [misc]simplify: Extracting #8: cost 1 inf + 3725 * * [misc]simplify: Extracting #9: cost 0 inf + 4169 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1510 * * [misc]simplify: Extracting #8: cost 4 inf + 5136 * * [misc]simplify: Extracting #9: cost 0 inf + 7148 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 987 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 581 * * [misc]simplify: Extracting #7: cost 1 inf + 1549 * * [misc]simplify: Extracting #8: cost 0 inf + 2033 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1914 * * [misc]simplify: Extracting #8: cost 3 inf + 5016 * * [misc]simplify: Extracting #9: cost 0 inf + 6626 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 988 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 5 * * [misc]simplify: Extracting #6: cost 13 inf + 293 * * [misc]simplify: Extracting #7: cost 5 inf + 1913 * * [misc]simplify: Extracting #8: cost 1 inf + 3725 * * [misc]simplify: Extracting #9: cost 0 inf + 4169 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1510 * * [misc]simplify: Extracting #8: cost 4 inf + 5136 * * [misc]simplify: Extracting #9: cost 0 inf + 7148 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 989 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 581 * * [misc]simplify: Extracting #7: cost 2 inf + 1267 * * [misc]simplify: Extracting #8: cost 1 inf + 1549 * * [misc]simplify: Extracting #9: cost 0 inf + 2033 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1914 * * [misc]simplify: Extracting #8: cost 3 inf + 5016 * * [misc]simplify: Extracting #9: cost 0 inf + 6626 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 990 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 5 * * [misc]simplify: Extracting #6: cost 13 inf + 293 * * [misc]simplify: Extracting #7: cost 5 inf + 1913 * * [misc]simplify: Extracting #8: cost 1 inf + 3725 * * [misc]simplify: Extracting #9: cost 0 inf + 4169 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1510 * * [misc]simplify: Extracting #8: cost 4 inf + 5136 * * [misc]simplify: Extracting #9: cost 0 inf + 7148 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 991 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 581 * * [misc]simplify: Extracting #7: cost 2 inf + 1267 * * [misc]simplify: Extracting #8: cost 1 inf + 1549 * * [misc]simplify: Extracting #9: cost 0 inf + 2033 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1914 * * [misc]simplify: Extracting #8: cost 3 inf + 5016 * * [misc]simplify: Extracting #9: cost 0 inf + 6626 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 992 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 5 * * [misc]simplify: Extracting #6: cost 14 inf + 293 * * [misc]simplify: Extracting #7: cost 8 inf + 1469 * * [misc]simplify: Extracting #8: cost 2 inf + 4209 * * [misc]simplify: Extracting #9: cost 0 inf + 5175 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1308 * * [misc]simplify: Extracting #8: cost 5 inf + 3968 * * [misc]simplify: Extracting #9: cost 0 inf + 6304 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 993 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 5 * * [misc]simplify: Extracting #6: cost 12 inf + 293 * * [misc]simplify: Extracting #7: cost 6 inf + 1469 * * [misc]simplify: Extracting #8: cost 2 inf + 2879 * * [misc]simplify: Extracting #9: cost 0 inf + 3927 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1550 * * [misc]simplify: Extracting #8: cost 5 inf + 4210 * * [misc]simplify: Extracting #9: cost 0 inf + 6706 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 994 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 5 * * [misc]simplify: Extracting #6: cost 13 inf + 293 * * [misc]simplify: Extracting #7: cost 7 inf + 1389 * * [misc]simplify: Extracting #8: cost 3 inf + 2597 * * [misc]simplify: Extracting #9: cost 0 inf + 4169 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1510 * * [misc]simplify: Extracting #8: cost 8 inf + 3204 * * [misc]simplify: Extracting #9: cost 2 inf + 5982 * * [misc]simplify: Extracting #10: cost 0 inf + 7148 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 995 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 251 * * [misc]simplify: Extracting #6: cost 4 inf + 743 * * [misc]simplify: Extracting #7: cost 2 inf + 1349 * * [misc]simplify: Extracting #8: cost 0 inf + 2035 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 742 * * [misc]simplify: Extracting #8: cost 2 inf + 2478 * * [misc]simplify: Extracting #9: cost 0 inf + 3204 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 996 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 4 inf + 581 * * [misc]simplify: Extracting #7: cost 2 inf + 945 * * [misc]simplify: Extracting #8: cost 1 inf + 1187 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 2 inf + 4858 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 997 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 251 * * [misc]simplify: Extracting #6: cost 4 inf + 743 * * [misc]simplify: Extracting #7: cost 2 inf + 1349 * * [misc]simplify: Extracting #8: cost 0 inf + 2035 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 742 * * [misc]simplify: Extracting #8: cost 2 inf + 2478 * * [misc]simplify: Extracting #9: cost 0 inf + 3204 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 998 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 4 inf + 581 * * [misc]simplify: Extracting #7: cost 2 inf + 945 * * [misc]simplify: Extracting #8: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 2 inf + 4858 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 999 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 251 * * [misc]simplify: Extracting #6: cost 4 inf + 743 * * [misc]simplify: Extracting #7: cost 2 inf + 1349 * * [misc]simplify: Extracting #8: cost 0 inf + 2035 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 742 * * [misc]simplify: Extracting #8: cost 2 inf + 2478 * * [misc]simplify: Extracting #9: cost 0 inf + 3204 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1000 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 4 inf + 581 * * [misc]simplify: Extracting #7: cost 2 inf + 945 * * [misc]simplify: Extracting #8: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 2 inf + 4858 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1001 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 47 * * [misc]simplify: Extracting #6: cost 6 inf + 581 * * [misc]simplify: Extracting #7: cost 5 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 1227 * * [misc]simplify: Extracting #9: cost 0 inf + 2557 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 4 inf + 4130 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1002 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 581 * * [misc]simplify: Extracting #7: cost 4 inf + 743 * * [misc]simplify: Extracting #8: cost 0 inf + 2033 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 9 inf + 2356 * * [misc]simplify: Extracting #8: cost 0 inf + 6184 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1003 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 581 * * [misc]simplify: Extracting #7: cost 2 inf + 1307 * * [misc]simplify: Extracting #8: cost 0 inf + 2033 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1752 * * [misc]simplify: Extracting #8: cost 3 inf + 5056 * * [misc]simplify: Extracting #9: cost 0 inf + 6626 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1004 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 4 inf + 581 * * [misc]simplify: Extracting #7: cost 3 inf + 743 * * [misc]simplify: Extracting #8: cost 1 inf + 1187 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 4 inf + 3970 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1005 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt 1))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 47 * * [misc]simplify: Extracting #5: cost 0 inf + 377 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1591 * * [misc]simplify: Extracting #8: cost 0 inf + 2803 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1006 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 4 inf + 581 * * [misc]simplify: Extracting #7: cost 3 inf + 743 * * [misc]simplify: Extracting #8: cost 1 inf + 1187 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 4 inf + 3970 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1007 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt 1))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 47 * * [misc]simplify: Extracting #5: cost 0 inf + 377 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1591 * * [misc]simplify: Extracting #8: cost 0 inf + 2803 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1008 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 4 inf + 581 * * [misc]simplify: Extracting #7: cost 3 inf + 743 * * [misc]simplify: Extracting #8: cost 1 inf + 1187 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 4 inf + 3970 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1009 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 47 * * [misc]simplify: Extracting #5: cost 0 inf + 377 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1591 * * [misc]simplify: Extracting #8: cost 0 inf + 2803 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1010 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 5 * * [misc]simplify: Extracting #6: cost 14 inf + 293 * * [misc]simplify: Extracting #7: cost 8 inf + 1469 * * [misc]simplify: Extracting #8: cost 2 inf + 4209 * * [misc]simplify: Extracting #9: cost 0 inf + 5175 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1308 * * [misc]simplify: Extracting #8: cost 5 inf + 3968 * * [misc]simplify: Extracting #9: cost 0 inf + 6304 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1011 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 5 * * [misc]simplify: Extracting #6: cost 12 inf + 293 * * [misc]simplify: Extracting #7: cost 6 inf + 1469 * * [misc]simplify: Extracting #8: cost 2 inf + 2879 * * [misc]simplify: Extracting #9: cost 0 inf + 3927 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1550 * * [misc]simplify: Extracting #8: cost 5 inf + 4210 * * [misc]simplify: Extracting #9: cost 0 inf + 6706 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1012 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 5 * * [misc]simplify: Extracting #6: cost 13 inf + 293 * * [misc]simplify: Extracting #7: cost 7 inf + 1389 * * [misc]simplify: Extracting #8: cost 3 inf + 2597 * * [misc]simplify: Extracting #9: cost 0 inf + 4169 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1510 * * [misc]simplify: Extracting #8: cost 8 inf + 3204 * * [misc]simplify: Extracting #9: cost 2 inf + 5982 * * [misc]simplify: Extracting #10: cost 0 inf + 7148 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1013 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 251 * * [misc]simplify: Extracting #6: cost 4 inf + 743 * * [misc]simplify: Extracting #7: cost 2 inf + 1349 * * [misc]simplify: Extracting #8: cost 0 inf + 2035 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 742 * * [misc]simplify: Extracting #8: cost 2 inf + 2478 * * [misc]simplify: Extracting #9: cost 0 inf + 3204 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1014 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 4 inf + 581 * * [misc]simplify: Extracting #7: cost 2 inf + 945 * * [misc]simplify: Extracting #8: cost 1 inf + 1187 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 2 inf + 4858 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1015 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 251 * * [misc]simplify: Extracting #6: cost 4 inf + 743 * * [misc]simplify: Extracting #7: cost 2 inf + 1349 * * [misc]simplify: Extracting #8: cost 0 inf + 2035 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 742 * * [misc]simplify: Extracting #8: cost 2 inf + 2478 * * [misc]simplify: Extracting #9: cost 0 inf + 3204 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1016 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 4 inf + 581 * * [misc]simplify: Extracting #7: cost 2 inf + 945 * * [misc]simplify: Extracting #8: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 2 inf + 4858 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1017 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 251 * * [misc]simplify: Extracting #6: cost 4 inf + 743 * * [misc]simplify: Extracting #7: cost 2 inf + 1349 * * [misc]simplify: Extracting #8: cost 0 inf + 2035 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 742 * * [misc]simplify: Extracting #8: cost 2 inf + 2478 * * [misc]simplify: Extracting #9: cost 0 inf + 3204 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1018 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 4 inf + 581 * * [misc]simplify: Extracting #7: cost 2 inf + 945 * * [misc]simplify: Extracting #8: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 2 inf + 4858 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1019 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 47 * * [misc]simplify: Extracting #6: cost 7 inf + 459 * * [misc]simplify: Extracting #7: cost 5 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 1227 * * [misc]simplify: Extracting #9: cost 1 inf + 2033 * * [misc]simplify: Extracting #10: cost 0 inf + 2557 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 4 inf + 4130 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1020 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 47 * * [misc]simplify: Extracting #6: cost 6 inf + 459 * * [misc]simplify: Extracting #7: cost 4 inf + 743 * * [misc]simplify: Extracting #8: cost 2 inf + 1267 * * [misc]simplify: Extracting #9: cost 0 inf + 2033 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 9 inf + 2356 * * [misc]simplify: Extracting #8: cost 0 inf + 6184 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1021 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 47 * * [misc]simplify: Extracting #6: cost 6 inf + 459 * * [misc]simplify: Extracting #7: cost 4 inf + 783 * * [misc]simplify: Extracting #8: cost 1 inf + 1549 * * [misc]simplify: Extracting #9: cost 0 inf + 2033 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1752 * * [misc]simplify: Extracting #8: cost 3 inf + 5056 * * [misc]simplify: Extracting #9: cost 0 inf + 6626 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1022 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 459 * * [misc]simplify: Extracting #7: cost 3 inf + 743 * * [misc]simplify: Extracting #8: cost 2 inf + 945 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 4 inf + 3970 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1023 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt 1)) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 47 * * [misc]simplify: Extracting #5: cost 0 inf + 377 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1591 * * [misc]simplify: Extracting #8: cost 0 inf + 2803 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1024 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 459 * * [misc]simplify: Extracting #7: cost 3 inf + 743 * * [misc]simplify: Extracting #8: cost 2 inf + 945 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 4 inf + 3970 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1025 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 47 * * [misc]simplify: Extracting #5: cost 0 inf + 377 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1591 * * [misc]simplify: Extracting #8: cost 0 inf + 2803 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1026 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 459 * * [misc]simplify: Extracting #7: cost 3 inf + 743 * * [misc]simplify: Extracting #8: cost 2 inf + 945 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 4 inf + 3970 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1027 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 47 * * [misc]simplify: Extracting #5: cost 0 inf + 377 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1591 * * [misc]simplify: Extracting #8: cost 0 inf + 2803 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1028 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 5 * * [misc]simplify: Extracting #6: cost 14 inf + 293 * * [misc]simplify: Extracting #7: cost 8 inf + 1469 * * [misc]simplify: Extracting #8: cost 2 inf + 4209 * * [misc]simplify: Extracting #9: cost 0 inf + 5175 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1308 * * [misc]simplify: Extracting #8: cost 5 inf + 3968 * * [misc]simplify: Extracting #9: cost 0 inf + 6304 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1029 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 5 * * [misc]simplify: Extracting #6: cost 12 inf + 293 * * [misc]simplify: Extracting #7: cost 6 inf + 1469 * * [misc]simplify: Extracting #8: cost 2 inf + 2879 * * [misc]simplify: Extracting #9: cost 0 inf + 3927 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1550 * * [misc]simplify: Extracting #8: cost 5 inf + 4210 * * [misc]simplify: Extracting #9: cost 0 inf + 6706 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1030 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 5 * * [misc]simplify: Extracting #6: cost 13 inf + 293 * * [misc]simplify: Extracting #7: cost 7 inf + 1389 * * [misc]simplify: Extracting #8: cost 3 inf + 2597 * * [misc]simplify: Extracting #9: cost 0 inf + 4169 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1510 * * [misc]simplify: Extracting #8: cost 8 inf + 3204 * * [misc]simplify: Extracting #9: cost 2 inf + 5982 * * [misc]simplify: Extracting #10: cost 0 inf + 7148 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1031 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 251 * * [misc]simplify: Extracting #6: cost 4 inf + 743 * * [misc]simplify: Extracting #7: cost 2 inf + 1349 * * [misc]simplify: Extracting #8: cost 0 inf + 2035 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 742 * * [misc]simplify: Extracting #8: cost 2 inf + 2478 * * [misc]simplify: Extracting #9: cost 0 inf + 3204 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1032 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 4 inf + 581 * * [misc]simplify: Extracting #7: cost 2 inf + 945 * * [misc]simplify: Extracting #8: cost 1 inf + 1187 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 2 inf + 4858 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1033 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 251 * * [misc]simplify: Extracting #6: cost 4 inf + 743 * * [misc]simplify: Extracting #7: cost 2 inf + 1349 * * [misc]simplify: Extracting #8: cost 0 inf + 2035 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 742 * * [misc]simplify: Extracting #8: cost 2 inf + 2478 * * [misc]simplify: Extracting #9: cost 0 inf + 3204 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1034 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 4 inf + 581 * * [misc]simplify: Extracting #7: cost 2 inf + 945 * * [misc]simplify: Extracting #8: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 2 inf + 4858 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1035 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 251 * * [misc]simplify: Extracting #6: cost 4 inf + 743 * * [misc]simplify: Extracting #7: cost 2 inf + 1349 * * [misc]simplify: Extracting #8: cost 0 inf + 2035 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 742 * * [misc]simplify: Extracting #8: cost 2 inf + 2478 * * [misc]simplify: Extracting #9: cost 0 inf + 3204 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1036 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 4 inf + 581 * * [misc]simplify: Extracting #7: cost 2 inf + 945 * * [misc]simplify: Extracting #8: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 2 inf + 4858 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1037 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 47 * * [misc]simplify: Extracting #6: cost 7 inf + 459 * * [misc]simplify: Extracting #7: cost 5 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 1227 * * [misc]simplify: Extracting #9: cost 1 inf + 2033 * * [misc]simplify: Extracting #10: cost 0 inf + 2557 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 4 inf + 4130 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1038 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 47 * * [misc]simplify: Extracting #6: cost 6 inf + 459 * * [misc]simplify: Extracting #7: cost 4 inf + 743 * * [misc]simplify: Extracting #8: cost 2 inf + 1267 * * [misc]simplify: Extracting #9: cost 0 inf + 2033 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 9 inf + 2356 * * [misc]simplify: Extracting #8: cost 0 inf + 6184 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1039 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 47 * * [misc]simplify: Extracting #6: cost 6 inf + 459 * * [misc]simplify: Extracting #7: cost 4 inf + 783 * * [misc]simplify: Extracting #8: cost 1 inf + 1549 * * [misc]simplify: Extracting #9: cost 0 inf + 2033 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1752 * * [misc]simplify: Extracting #8: cost 3 inf + 5056 * * [misc]simplify: Extracting #9: cost 0 inf + 6626 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1040 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 459 * * [misc]simplify: Extracting #7: cost 3 inf + 743 * * [misc]simplify: Extracting #8: cost 2 inf + 945 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 4 inf + 3970 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1041 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) 1) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 47 * * [misc]simplify: Extracting #5: cost 0 inf + 377 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1591 * * [misc]simplify: Extracting #8: cost 0 inf + 2803 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1042 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 459 * * [misc]simplify: Extracting #7: cost 3 inf + 743 * * [misc]simplify: Extracting #8: cost 2 inf + 945 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 4 inf + 3970 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1043 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 47 * * [misc]simplify: Extracting #5: cost 0 inf + 377 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1591 * * [misc]simplify: Extracting #8: cost 0 inf + 2803 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1044 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 459 * * [misc]simplify: Extracting #7: cost 3 inf + 743 * * [misc]simplify: Extracting #8: cost 2 inf + 945 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 4 inf + 3970 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1045 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) 1) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 47 * * [misc]simplify: Extracting #5: cost 0 inf + 377 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1591 * * [misc]simplify: Extracting #8: cost 0 inf + 2803 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1046 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 3 * * [misc]simplify: Extracting #5: cost 26 inf + 3 * * [misc]simplify: Extracting #6: cost 20 inf + 90 * * [misc]simplify: Extracting #7: cost 16 inf + 461 * * [misc]simplify: Extracting #8: cost 13 inf + 947 * * [misc]simplify: Extracting #9: cost 4 inf + 4455 * * [misc]simplify: Extracting #10: cost 0 inf + 6187 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 742 * * [misc]simplify: Extracting #8: cost 4 inf + 2154 * * [misc]simplify: Extracting #9: cost 0 inf + 3846 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1047 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 28 inf + 0 * * [misc]simplify: Extracting #3: cost 31 inf + 0 * * [misc]simplify: Extracting #4: cost 37 inf + 0 * * [misc]simplify: Extracting #5: cost 32 inf + 46 * * [misc]simplify: Extracting #6: cost 27 inf + 458 * * [misc]simplify: Extracting #7: cost 22 inf + 1468 * * [misc]simplify: Extracting #8: cost 5 inf + 9400 * * [misc]simplify: Extracting #9: cost 0 inf + 12176 * [exit]simplify: Simplified to (/ (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1590 * * [misc]simplify: Extracting #8: cost 5 inf + 4450 * * [misc]simplify: Extracting #9: cost 0 inf + 7146 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))))) * * * * [misc]progress: [ 1048 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 0 * * [misc]simplify: Extracting #3: cost 32 inf + 0 * * [misc]simplify: Extracting #4: cost 38 inf + 0 * * [misc]simplify: Extracting #5: cost 32 inf + 87 * * [misc]simplify: Extracting #6: cost 28 inf + 458 * * [misc]simplify: Extracting #7: cost 23 inf + 1550 * * [misc]simplify: Extracting #8: cost 13 inf + 5578 * * [misc]simplify: Extracting #9: cost 1 inf + 12176 * * [misc]simplify: Extracting #10: cost 0 inf + 12738 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1550 * * [misc]simplify: Extracting #8: cost 8 inf + 3404 * * [misc]simplify: Extracting #9: cost 1 inf + 6864 * * [misc]simplify: Extracting #10: cost 0 inf + 7588 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1049 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 26 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 35 inf + 0 * * [misc]simplify: Extracting #5: cost 29 inf + 87 * * [misc]simplify: Extracting #6: cost 25 inf + 458 * * [misc]simplify: Extracting #7: cost 24 inf + 580 * * [misc]simplify: Extracting #8: cost 21 inf + 1348 * * [misc]simplify: Extracting #9: cost 11 inf + 5012 * * [misc]simplify: Extracting #10: cost 0 inf + 10772 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 9 inf + 2518 * * [misc]simplify: Extracting #8: cost 0 inf + 6344 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1050 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 46 * * [misc]simplify: Extracting #6: cost 12 inf + 455 * * [misc]simplify: Extracting #7: cost 6 inf + 1953 * * [misc]simplify: Extracting #8: cost 0 inf + 4733 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 742 * * [misc]simplify: Extracting #7: cost 2 inf + 3364 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1051 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 26 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 35 inf + 0 * * [misc]simplify: Extracting #5: cost 29 inf + 87 * * [misc]simplify: Extracting #6: cost 25 inf + 458 * * [misc]simplify: Extracting #7: cost 24 inf + 580 * * [misc]simplify: Extracting #8: cost 21 inf + 1348 * * [misc]simplify: Extracting #9: cost 11 inf + 5012 * * [misc]simplify: Extracting #10: cost 0 inf + 10772 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 9 inf + 2518 * * [misc]simplify: Extracting #8: cost 0 inf + 6344 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1052 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 5 * * [misc]simplify: Extracting #6: cost 14 inf + 171 * * [misc]simplify: Extracting #7: cost 11 inf + 579 * * [misc]simplify: Extracting #8: cost 8 inf + 1227 * * [misc]simplify: Extracting #9: cost 2 inf + 3645 * * [misc]simplify: Extracting #10: cost 0 inf + 4733 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 742 * * [misc]simplify: Extracting #7: cost 2 inf + 3364 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1053 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 26 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 35 inf + 0 * * [misc]simplify: Extracting #5: cost 29 inf + 87 * * [misc]simplify: Extracting #6: cost 25 inf + 458 * * [misc]simplify: Extracting #7: cost 24 inf + 580 * * [misc]simplify: Extracting #8: cost 21 inf + 1348 * * [misc]simplify: Extracting #9: cost 11 inf + 5012 * * [misc]simplify: Extracting #10: cost 0 inf + 10772 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 9 inf + 2518 * * [misc]simplify: Extracting #8: cost 0 inf + 6344 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1054 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 88 * * [misc]simplify: Extracting #6: cost 10 inf + 781 * * [misc]simplify: Extracting #7: cost 6 inf + 1953 * * [misc]simplify: Extracting #8: cost 0 inf + 4733 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 742 * * [misc]simplify: Extracting #7: cost 2 inf + 3364 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1055 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 36 inf + 0 * * [misc]simplify: Extracting #5: cost 30 inf + 87 * * [misc]simplify: Extracting #6: cost 26 inf + 458 * * [misc]simplify: Extracting #7: cost 22 inf + 1348 * * [misc]simplify: Extracting #8: cost 14 inf + 4046 * * [misc]simplify: Extracting #9: cost 0 inf + 11612 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1348 * * [misc]simplify: Extracting #8: cost 4 inf + 5254 * * [misc]simplify: Extracting #9: cost 0 inf + 7146 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1056 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 87 * * [misc]simplify: Extracting #7: cost 9 inf + 742 * * [misc]simplify: Extracting #8: cost 2 inf + 3000 * * [misc]simplify: Extracting #9: cost 0 inf + 4128 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 742 * * [misc]simplify: Extracting #8: cost 4 inf + 1872 * * [misc]simplify: Extracting #9: cost 0 inf + 3806 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1057 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 31 inf + 0 * * [misc]simplify: Extracting #5: cost 25 inf + 87 * * [misc]simplify: Extracting #6: cost 21 inf + 458 * * [misc]simplify: Extracting #7: cost 15 inf + 1792 * * [misc]simplify: Extracting #8: cost 8 inf + 4008 * * [misc]simplify: Extracting #9: cost 0 inf + 8514 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 14 inf + 1550 * * [misc]simplify: Extracting #8: cost 8 inf + 3726 * * [misc]simplify: Extracting #9: cost 0 inf + 7990 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1058 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 14 inf + 1348 * * [misc]simplify: Extracting #8: cost 7 inf + 3606 * * [misc]simplify: Extracting #9: cost 0 inf + 7108 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1348 * * [misc]simplify: Extracting #8: cost 4 inf + 5054 * * [misc]simplify: Extracting #9: cost 0 inf + 6826 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1059 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 87 * * [misc]simplify: Extracting #6: cost 10 inf + 455 * * [misc]simplify: Extracting #7: cost 5 inf + 1587 * * [misc]simplify: Extracting #8: cost 1 inf + 3001 * * [misc]simplify: Extracting #9: cost 0 inf + 3565 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 454 * * [misc]simplify: Extracting #7: cost 5 inf + 2236 * * [misc]simplify: Extracting #8: cost 0 inf + 4492 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1060 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 14 inf + 1348 * * [misc]simplify: Extracting #8: cost 7 inf + 3606 * * [misc]simplify: Extracting #9: cost 0 inf + 7108 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1348 * * [misc]simplify: Extracting #8: cost 4 inf + 5054 * * [misc]simplify: Extracting #9: cost 0 inf + 6826 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1061 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 88 * * [misc]simplify: Extracting #6: cost 8 inf + 743 * * [misc]simplify: Extracting #7: cost 3 inf + 2235 * * [misc]simplify: Extracting #8: cost 0 inf + 3565 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 454 * * [misc]simplify: Extracting #7: cost 5 inf + 2236 * * [misc]simplify: Extracting #8: cost 0 inf + 4492 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1062 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 14 inf + 1348 * * [misc]simplify: Extracting #8: cost 7 inf + 3606 * * [misc]simplify: Extracting #9: cost 0 inf + 7108 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1348 * * [misc]simplify: Extracting #8: cost 4 inf + 5054 * * [misc]simplify: Extracting #9: cost 0 inf + 6826 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1063 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 46 * * [misc]simplify: Extracting #6: cost 10 inf + 455 * * [misc]simplify: Extracting #7: cost 4 inf + 1751 * * [misc]simplify: Extracting #8: cost 1 inf + 3001 * * [misc]simplify: Extracting #9: cost 0 inf + 3565 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 454 * * [misc]simplify: Extracting #7: cost 5 inf + 2236 * * [misc]simplify: Extracting #8: cost 0 inf + 4492 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1064 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 26 inf + 0 * * [misc]simplify: Extracting #3: cost 31 inf + 0 * * [misc]simplify: Extracting #4: cost 37 inf + 0 * * [misc]simplify: Extracting #5: cost 31 inf + 87 * * [misc]simplify: Extracting #6: cost 27 inf + 458 * * [misc]simplify: Extracting #7: cost 20 inf + 2034 * * [misc]simplify: Extracting #8: cost 11 inf + 5780 * * [misc]simplify: Extracting #9: cost 0 inf + 12174 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 10 inf + 2476 * * [misc]simplify: Extracting #8: cost 1 inf + 6864 * * [misc]simplify: Extracting #9: cost 0 inf + 7588 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1065 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 31 inf + 0 * * [misc]simplify: Extracting #5: cost 25 inf + 87 * * [misc]simplify: Extracting #6: cost 21 inf + 458 * * [misc]simplify: Extracting #7: cost 14 inf + 2034 * * [misc]simplify: Extracting #8: cost 7 inf + 4650 * * [misc]simplify: Extracting #9: cost 0 inf + 8514 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 2074 * * [misc]simplify: Extracting #8: cost 8 inf + 3806 * * [misc]simplify: Extracting #9: cost 0 inf + 7990 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1066 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 0 * * [misc]simplify: Extracting #6: cost 16 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 1428 * * [misc]simplify: Extracting #8: cost 2 inf + 3404 * * [misc]simplify: Extracting #9: cost 0 inf + 4370 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 15 inf + 87 * * [misc]simplify: Extracting #7: cost 8 inf + 944 * * [misc]simplify: Extracting #8: cost 4 inf + 2074 * * [misc]simplify: Extracting #9: cost 0 inf + 4128 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1067 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 2034 * * [misc]simplify: Extracting #8: cost 6 inf + 4210 * * [misc]simplify: Extracting #9: cost 0 inf + 7510 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 10 inf + 2476 * * [misc]simplify: Extracting #8: cost 1 inf + 6584 * * [misc]simplify: Extracting #9: cost 0 inf + 7268 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1068 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 88 * * [misc]simplify: Extracting #6: cost 13 inf + 171 * * [misc]simplify: Extracting #7: cost 6 inf + 1547 * * [misc]simplify: Extracting #8: cost 3 inf + 2315 * * [misc]simplify: Extracting #9: cost 0 inf + 3807 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 45 * * [misc]simplify: Extracting #6: cost 11 inf + 898 * * [misc]simplify: Extracting #7: cost 5 inf + 2436 * * [misc]simplify: Extracting #8: cost 0 inf + 4854 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1069 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 2034 * * [misc]simplify: Extracting #8: cost 6 inf + 4210 * * [misc]simplify: Extracting #9: cost 0 inf + 7510 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 10 inf + 2476 * * [misc]simplify: Extracting #8: cost 1 inf + 6584 * * [misc]simplify: Extracting #9: cost 0 inf + 7268 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1070 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 8 inf + 1141 * * [misc]simplify: Extracting #7: cost 3 inf + 2315 * * [misc]simplify: Extracting #8: cost 0 inf + 3807 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 45 * * [misc]simplify: Extracting #6: cost 11 inf + 898 * * [misc]simplify: Extracting #7: cost 5 inf + 2436 * * [misc]simplify: Extracting #8: cost 0 inf + 4854 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1071 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 2034 * * [misc]simplify: Extracting #8: cost 6 inf + 4210 * * [misc]simplify: Extracting #9: cost 0 inf + 7510 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 10 inf + 2476 * * [misc]simplify: Extracting #8: cost 1 inf + 6584 * * [misc]simplify: Extracting #9: cost 0 inf + 7268 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1072 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 88 * * [misc]simplify: Extracting #6: cost 5 inf + 1711 * * [misc]simplify: Extracting #7: cost 2 inf + 2801 * * [misc]simplify: Extracting #8: cost 0 inf + 3807 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 45 * * [misc]simplify: Extracting #6: cost 11 inf + 898 * * [misc]simplify: Extracting #7: cost 5 inf + 2436 * * [misc]simplify: Extracting #8: cost 0 inf + 4854 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1073 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 34 inf + 0 * * [misc]simplify: Extracting #5: cost 28 inf + 87 * * [misc]simplify: Extracting #6: cost 24 inf + 458 * * [misc]simplify: Extracting #7: cost 18 inf + 2154 * * [misc]simplify: Extracting #8: cost 5 inf + 7632 * * [misc]simplify: Extracting #9: cost 0 inf + 10208 * [exit]simplify: Simplified to (/ (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 9 inf + 2638 * * [misc]simplify: Extracting #8: cost 0 inf + 6344 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1074 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1590 * * [misc]simplify: Extracting #8: cost 4 inf + 5136 * * [misc]simplify: Extracting #9: cost 0 inf + 7108 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1590 * * [misc]simplify: Extracting #8: cost 5 inf + 4250 * * [misc]simplify: Extracting #9: cost 0 inf + 6826 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))))) * * * * [misc]progress: [ 1075 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 14 inf + 1550 * * [misc]simplify: Extracting #8: cost 8 inf + 3486 * * [misc]simplify: Extracting #9: cost 0 inf + 7510 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1550 * * [misc]simplify: Extracting #8: cost 8 inf + 3244 * * [misc]simplify: Extracting #9: cost 1 inf + 6584 * * [misc]simplify: Extracting #10: cost 0 inf + 7268 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1076 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1077 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 88 * * [misc]simplify: Extracting #6: cost 6 inf + 743 * * [misc]simplify: Extracting #7: cost 4 inf + 1349 * * [misc]simplify: Extracting #8: cost 1 inf + 2317 * * [misc]simplify: Extracting #9: cost 0 inf + 2801 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 742 * * [misc]simplify: Extracting #7: cost 2 inf + 3204 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1078 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1079 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 88 * * [misc]simplify: Extracting #6: cost 7 inf + 579 * * [misc]simplify: Extracting #7: cost 0 inf + 2801 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 742 * * [misc]simplify: Extracting #7: cost 2 inf + 3204 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1080 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1081 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 46 * * [misc]simplify: Extracting #6: cost 8 inf + 455 * * [misc]simplify: Extracting #7: cost 1 inf + 2317 * * [misc]simplify: Extracting #8: cost 0 inf + 2801 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 742 * * [misc]simplify: Extracting #7: cost 2 inf + 3204 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1082 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 88 * * [misc]simplify: Extracting #7: cost 8 inf + 743 * * [misc]simplify: Extracting #8: cost 5 inf + 1549 * * [misc]simplify: Extracting #9: cost 0 inf + 3847 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1630 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1083 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 46 * * [misc]simplify: Extracting #7: cost 8 inf + 455 * * [misc]simplify: Extracting #8: cost 3 inf + 1469 * * [misc]simplify: Extracting #9: cost 0 inf + 2719 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 984 * * [misc]simplify: Extracting #7: cost 3 inf + 3162 * * [misc]simplify: Extracting #8: cost 0 inf + 4492 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1084 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 5 inf + 1305 * * [misc]simplify: Extracting #8: cost 2 inf + 1913 * * [misc]simplify: Extracting #9: cost 0 inf + 2921 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 170 * * [misc]simplify: Extracting #7: cost 11 inf + 782 * * [misc]simplify: Extracting #8: cost 6 inf + 2156 * * [misc]simplify: Extracting #9: cost 0 inf + 4854 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1085 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 88 * * [misc]simplify: Extracting #7: cost 4 inf + 743 * * [misc]simplify: Extracting #8: cost 2 inf + 1187 * * [misc]simplify: Extracting #9: cost 0 inf + 2075 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1590 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1086 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 743 * * [misc]simplify: Extracting #7: cost 1 inf + 945 * * [misc]simplify: Extracting #8: cost 0 inf + 1349 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1792 * * [misc]simplify: Extracting #8: cost 0 inf + 2156 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1087 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 88 * * [misc]simplify: Extracting #7: cost 4 inf + 743 * * [misc]simplify: Extracting #8: cost 2 inf + 1187 * * [misc]simplify: Extracting #9: cost 0 inf + 2075 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1590 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1088 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 743 * * [misc]simplify: Extracting #7: cost 1 inf + 945 * * [misc]simplify: Extracting #8: cost 0 inf + 1349 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1792 * * [misc]simplify: Extracting #8: cost 0 inf + 2156 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1089 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 88 * * [misc]simplify: Extracting #7: cost 4 inf + 743 * * [misc]simplify: Extracting #8: cost 2 inf + 1187 * * [misc]simplify: Extracting #9: cost 0 inf + 2075 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1590 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1090 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 743 * * [misc]simplify: Extracting #7: cost 0 inf + 1349 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1792 * * [misc]simplify: Extracting #8: cost 0 inf + 2156 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1091 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 34 inf + 0 * * [misc]simplify: Extracting #5: cost 28 inf + 87 * * [misc]simplify: Extracting #6: cost 24 inf + 458 * * [misc]simplify: Extracting #7: cost 18 inf + 2154 * * [misc]simplify: Extracting #8: cost 5 inf + 7632 * * [misc]simplify: Extracting #9: cost 0 inf + 10208 * [exit]simplify: Simplified to (/ (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 9 inf + 2638 * * [misc]simplify: Extracting #8: cost 0 inf + 6344 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1092 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1590 * * [misc]simplify: Extracting #8: cost 4 inf + 5136 * * [misc]simplify: Extracting #9: cost 0 inf + 7108 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1590 * * [misc]simplify: Extracting #8: cost 5 inf + 4250 * * [misc]simplify: Extracting #9: cost 0 inf + 6826 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))))) * * * * [misc]progress: [ 1093 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 14 inf + 1550 * * [misc]simplify: Extracting #8: cost 8 inf + 3486 * * [misc]simplify: Extracting #9: cost 0 inf + 7510 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1550 * * [misc]simplify: Extracting #8: cost 8 inf + 3244 * * [misc]simplify: Extracting #9: cost 1 inf + 6584 * * [misc]simplify: Extracting #10: cost 0 inf + 7268 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1094 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1095 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 88 * * [misc]simplify: Extracting #6: cost 6 inf + 743 * * [misc]simplify: Extracting #7: cost 4 inf + 1349 * * [misc]simplify: Extracting #8: cost 1 inf + 2317 * * [misc]simplify: Extracting #9: cost 0 inf + 2801 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 742 * * [misc]simplify: Extracting #7: cost 2 inf + 3204 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1096 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1097 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 88 * * [misc]simplify: Extracting #6: cost 7 inf + 579 * * [misc]simplify: Extracting #7: cost 0 inf + 2801 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 742 * * [misc]simplify: Extracting #7: cost 2 inf + 3204 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1098 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1099 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 46 * * [misc]simplify: Extracting #6: cost 8 inf + 455 * * [misc]simplify: Extracting #7: cost 1 inf + 2317 * * [misc]simplify: Extracting #8: cost 0 inf + 2801 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 742 * * [misc]simplify: Extracting #7: cost 2 inf + 3204 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1100 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 5 * * [misc]simplify: Extracting #7: cost 12 inf + 171 * * [misc]simplify: Extracting #8: cost 9 inf + 579 * * [misc]simplify: Extracting #9: cost 6 inf + 1227 * * [misc]simplify: Extracting #10: cost 1 inf + 3283 * * [misc]simplify: Extracting #11: cost 0 inf + 3847 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1630 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1101 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 88 * * [misc]simplify: Extracting #7: cost 6 inf + 743 * * [misc]simplify: Extracting #8: cost 2 inf + 1751 * * [misc]simplify: Extracting #9: cost 0 inf + 2719 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 984 * * [misc]simplify: Extracting #7: cost 3 inf + 3162 * * [misc]simplify: Extracting #8: cost 0 inf + 4492 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1102 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 46 * * [misc]simplify: Extracting #7: cost 9 inf + 455 * * [misc]simplify: Extracting #8: cost 2 inf + 1913 * * [misc]simplify: Extracting #9: cost 1 inf + 2317 * * [misc]simplify: Extracting #10: cost 0 inf + 2921 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 170 * * [misc]simplify: Extracting #7: cost 11 inf + 782 * * [misc]simplify: Extracting #8: cost 6 inf + 2156 * * [misc]simplify: Extracting #9: cost 0 inf + 4854 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1103 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 88 * * [misc]simplify: Extracting #7: cost 4 inf + 743 * * [misc]simplify: Extracting #8: cost 0 inf + 2075 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1590 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1104 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 743 * * [misc]simplify: Extracting #7: cost 0 inf + 1349 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1792 * * [misc]simplify: Extracting #8: cost 0 inf + 2156 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1105 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 88 * * [misc]simplify: Extracting #7: cost 4 inf + 743 * * [misc]simplify: Extracting #8: cost 0 inf + 2075 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1590 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1106 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 743 * * [misc]simplify: Extracting #7: cost 1 inf + 945 * * [misc]simplify: Extracting #8: cost 0 inf + 1349 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1792 * * [misc]simplify: Extracting #8: cost 0 inf + 2156 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1107 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 88 * * [misc]simplify: Extracting #7: cost 4 inf + 743 * * [misc]simplify: Extracting #8: cost 0 inf + 2075 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1590 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1108 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 743 * * [misc]simplify: Extracting #7: cost 1 inf + 945 * * [misc]simplify: Extracting #8: cost 0 inf + 1349 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1792 * * [misc]simplify: Extracting #8: cost 0 inf + 2156 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1109 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 34 inf + 0 * * [misc]simplify: Extracting #5: cost 28 inf + 87 * * [misc]simplify: Extracting #6: cost 24 inf + 458 * * [misc]simplify: Extracting #7: cost 18 inf + 2154 * * [misc]simplify: Extracting #8: cost 5 inf + 7632 * * [misc]simplify: Extracting #9: cost 0 inf + 10208 * [exit]simplify: Simplified to (/ (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 9 inf + 2638 * * [misc]simplify: Extracting #8: cost 0 inf + 6344 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1110 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1590 * * [misc]simplify: Extracting #8: cost 4 inf + 5136 * * [misc]simplify: Extracting #9: cost 0 inf + 7108 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1590 * * [misc]simplify: Extracting #8: cost 5 inf + 4250 * * [misc]simplify: Extracting #9: cost 0 inf + 6826 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))))) * * * * [misc]progress: [ 1111 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 14 inf + 1550 * * [misc]simplify: Extracting #8: cost 8 inf + 3486 * * [misc]simplify: Extracting #9: cost 0 inf + 7510 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1550 * * [misc]simplify: Extracting #8: cost 8 inf + 3244 * * [misc]simplify: Extracting #9: cost 1 inf + 6584 * * [misc]simplify: Extracting #10: cost 0 inf + 7268 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1112 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1113 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 88 * * [misc]simplify: Extracting #6: cost 6 inf + 743 * * [misc]simplify: Extracting #7: cost 4 inf + 1349 * * [misc]simplify: Extracting #8: cost 1 inf + 2317 * * [misc]simplify: Extracting #9: cost 0 inf + 2801 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 742 * * [misc]simplify: Extracting #7: cost 2 inf + 3204 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1114 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1115 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 88 * * [misc]simplify: Extracting #6: cost 7 inf + 579 * * [misc]simplify: Extracting #7: cost 0 inf + 2801 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 742 * * [misc]simplify: Extracting #7: cost 2 inf + 3204 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1116 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 88 * * [misc]simplify: Extracting #7: cost 7 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2075 * * [misc]simplify: Extracting #9: cost 0 inf + 3245 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1117 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 46 * * [misc]simplify: Extracting #6: cost 8 inf + 455 * * [misc]simplify: Extracting #7: cost 1 inf + 2317 * * [misc]simplify: Extracting #8: cost 0 inf + 2801 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 742 * * [misc]simplify: Extracting #7: cost 2 inf + 3204 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1118 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 88 * * [misc]simplify: Extracting #6: cost 12 inf + 455 * * [misc]simplify: Extracting #7: cost 5 inf + 2437 * * [misc]simplify: Extracting #8: cost 0 inf + 4733 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1630 * * [misc]simplify: Extracting #8: cost 0 inf + 4170 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1119 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 5 * * [misc]simplify: Extracting #6: cost 12 inf + 171 * * [misc]simplify: Extracting #7: cost 8 inf + 743 * * [misc]simplify: Extracting #8: cost 2 inf + 2719 * * [misc]simplify: Extracting #9: cost 0 inf + 3565 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 984 * * [misc]simplify: Extracting #7: cost 3 inf + 3162 * * [misc]simplify: Extracting #8: cost 0 inf + 4492 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1120 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 46 * * [misc]simplify: Extracting #6: cost 8 inf + 1181 * * [misc]simplify: Extracting #7: cost 4 inf + 1913 * * [misc]simplify: Extracting #8: cost 0 inf + 3807 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 170 * * [misc]simplify: Extracting #7: cost 11 inf + 782 * * [misc]simplify: Extracting #8: cost 6 inf + 2156 * * [misc]simplify: Extracting #9: cost 0 inf + 4854 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1121 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 88 * * [misc]simplify: Extracting #6: cost 6 inf + 743 * * [misc]simplify: Extracting #7: cost 4 inf + 1349 * * [misc]simplify: Extracting #8: cost 2 inf + 1873 * * [misc]simplify: Extracting #9: cost 0 inf + 2801 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1590 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1122 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 743 * * [misc]simplify: Extracting #7: cost 0 inf + 1349 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1792 * * [misc]simplify: Extracting #8: cost 0 inf + 2156 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1123 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 88 * * [misc]simplify: Extracting #6: cost 6 inf + 743 * * [misc]simplify: Extracting #7: cost 4 inf + 1349 * * [misc]simplify: Extracting #8: cost 2 inf + 1873 * * [misc]simplify: Extracting #9: cost 0 inf + 2801 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1590 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1124 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 743 * * [misc]simplify: Extracting #7: cost 0 inf + 1349 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1792 * * [misc]simplify: Extracting #8: cost 0 inf + 2156 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1125 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 88 * * [misc]simplify: Extracting #6: cost 6 inf + 743 * * [misc]simplify: Extracting #7: cost 4 inf + 1349 * * [misc]simplify: Extracting #8: cost 2 inf + 1873 * * [misc]simplify: Extracting #9: cost 0 inf + 2801 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 45 * * [misc]simplify: Extracting #6: cost 12 inf + 292 * * [misc]simplify: Extracting #7: cost 6 inf + 1590 * * [misc]simplify: Extracting #8: cost 0 inf + 3930 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1126 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 743 * * [misc]simplify: Extracting #7: cost 0 inf + 1349 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 43 * * [misc]simplify: Extracting #6: cost 7 inf + 412 * * [misc]simplify: Extracting #7: cost 1 inf + 1792 * * [misc]simplify: Extracting #8: cost 0 inf + 2156 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1127 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 3 * * [misc]simplify: Extracting #4: cost 20 inf + 3 * * [misc]simplify: Extracting #5: cost 14 inf + 90 * * [misc]simplify: Extracting #6: cost 8 inf + 745 * * [misc]simplify: Extracting #7: cost 6 inf + 1229 * * [misc]simplify: Extracting #8: cost 1 inf + 3285 * * [misc]simplify: Extracting #9: cost 0 inf + 3809 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 944 * * [misc]simplify: Extracting #8: cost 4 inf + 2114 * * [misc]simplify: Extracting #9: cost 0 inf + 3806 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1128 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 23 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 47 * * [misc]simplify: Extracting #6: cost 13 inf + 743 * * [misc]simplify: Extracting #7: cost 8 inf + 2235 * * [misc]simplify: Extracting #8: cost 0 inf + 6099 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1550 * * [misc]simplify: Extracting #8: cost 5 inf + 4410 * * [misc]simplify: Extracting #9: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1129 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 24 inf + 1 * * [misc]simplify: Extracting #5: cost 21 inf + 47 * * [misc]simplify: Extracting #6: cost 14 inf + 743 * * [misc]simplify: Extracting #7: cost 9 inf + 1993 * * [misc]simplify: Extracting #8: cost 5 inf + 3525 * * [misc]simplify: Extracting #9: cost 0 inf + 6421 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1510 * * [misc]simplify: Extracting #8: cost 8 inf + 3364 * * [misc]simplify: Extracting #9: cost 2 inf + 6222 * * [misc]simplify: Extracting #10: cost 0 inf + 7468 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1130 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 47 * * [misc]simplify: Extracting #6: cost 11 inf + 743 * * [misc]simplify: Extracting #7: cost 8 inf + 1549 * * [misc]simplify: Extracting #8: cost 1 inf + 4571 * * [misc]simplify: Extracting #9: cost 0 inf + 5175 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1308 * * [misc]simplify: Extracting #8: cost 5 inf + 4048 * * [misc]simplify: Extracting #9: cost 0 inf + 6304 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1131 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 47 * * [misc]simplify: Extracting #6: cost 7 inf + 459 * * [misc]simplify: Extracting #7: cost 5 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 1227 * * [misc]simplify: Extracting #9: cost 0 inf + 2557 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 2 inf + 5098 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1132 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 47 * * [misc]simplify: Extracting #6: cost 11 inf + 743 * * [misc]simplify: Extracting #7: cost 8 inf + 1549 * * [misc]simplify: Extracting #8: cost 1 inf + 4571 * * [misc]simplify: Extracting #9: cost 0 inf + 5175 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1308 * * [misc]simplify: Extracting #8: cost 5 inf + 4048 * * [misc]simplify: Extracting #9: cost 0 inf + 6304 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1133 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 47 * * [misc]simplify: Extracting #6: cost 7 inf + 459 * * [misc]simplify: Extracting #7: cost 5 inf + 743 * * [misc]simplify: Extracting #8: cost 4 inf + 945 * * [misc]simplify: Extracting #9: cost 1 inf + 2033 * * [misc]simplify: Extracting #10: cost 0 inf + 2557 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 2 inf + 5098 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1134 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 47 * * [misc]simplify: Extracting #6: cost 11 inf + 743 * * [misc]simplify: Extracting #7: cost 8 inf + 1549 * * [misc]simplify: Extracting #8: cost 1 inf + 4571 * * [misc]simplify: Extracting #9: cost 0 inf + 5175 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1308 * * [misc]simplify: Extracting #8: cost 5 inf + 4048 * * [misc]simplify: Extracting #9: cost 0 inf + 6304 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1135 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 47 * * [misc]simplify: Extracting #6: cost 7 inf + 459 * * [misc]simplify: Extracting #7: cost 5 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 1227 * * [misc]simplify: Extracting #9: cost 0 inf + 2557 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 2 inf + 5098 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1136 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 23 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 47 * * [misc]simplify: Extracting #6: cost 13 inf + 743 * * [misc]simplify: Extracting #7: cost 6 inf + 2797 * * [misc]simplify: Extracting #8: cost 0 inf + 6099 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1550 * * [misc]simplify: Extracting #8: cost 5 inf + 4410 * * [misc]simplify: Extracting #9: cost 0 inf + 7026 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1137 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 47 * * [misc]simplify: Extracting #6: cost 7 inf + 459 * * [misc]simplify: Extracting #7: cost 5 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 1267 * * [misc]simplify: Extracting #9: cost 1 inf + 2033 * * [misc]simplify: Extracting #10: cost 0 inf + 2517 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 742 * * [misc]simplify: Extracting #8: cost 2 inf + 2638 * * [misc]simplify: Extracting #9: cost 0 inf + 3444 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1138 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 5 * * [misc]simplify: Extracting #6: cost 13 inf + 455 * * [misc]simplify: Extracting #7: cost 6 inf + 1993 * * [misc]simplify: Extracting #8: cost 2 inf + 3485 * * [misc]simplify: Extracting #9: cost 0 inf + 4651 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1550 * * [misc]simplify: Extracting #8: cost 8 inf + 3404 * * [misc]simplify: Extracting #9: cost 2 inf + 6262 * * [misc]simplify: Extracting #10: cost 0 inf + 7508 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1139 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 5 * * [misc]simplify: Extracting #6: cost 13 inf + 171 * * [misc]simplify: Extracting #7: cost 9 inf + 743 * * [misc]simplify: Extracting #8: cost 4 inf + 1993 * * [misc]simplify: Extracting #9: cost 0 inf + 3927 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1550 * * [misc]simplify: Extracting #8: cost 5 inf + 4290 * * [misc]simplify: Extracting #9: cost 0 inf + 6706 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1140 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 47 * * [misc]simplify: Extracting #6: cost 6 inf + 459 * * [misc]simplify: Extracting #7: cost 4 inf + 743 * * [misc]simplify: Extracting #8: cost 1 inf + 1549 * * [misc]simplify: Extracting #9: cost 0 inf + 2033 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 10 inf + 1994 * * [misc]simplify: Extracting #8: cost 0 inf + 6184 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1141 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 5 * * [misc]simplify: Extracting #6: cost 13 inf + 171 * * [misc]simplify: Extracting #7: cost 9 inf + 743 * * [misc]simplify: Extracting #8: cost 4 inf + 1993 * * [misc]simplify: Extracting #9: cost 0 inf + 3927 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1550 * * [misc]simplify: Extracting #8: cost 5 inf + 4290 * * [misc]simplify: Extracting #9: cost 0 inf + 6706 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1142 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 47 * * [misc]simplify: Extracting #6: cost 6 inf + 459 * * [misc]simplify: Extracting #7: cost 4 inf + 743 * * [misc]simplify: Extracting #8: cost 1 inf + 1549 * * [misc]simplify: Extracting #9: cost 0 inf + 2033 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 10 inf + 1994 * * [misc]simplify: Extracting #8: cost 0 inf + 6184 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1143 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 5 * * [misc]simplify: Extracting #6: cost 13 inf + 171 * * [misc]simplify: Extracting #7: cost 9 inf + 743 * * [misc]simplify: Extracting #8: cost 4 inf + 1993 * * [misc]simplify: Extracting #9: cost 0 inf + 3927 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1550 * * [misc]simplify: Extracting #8: cost 5 inf + 4290 * * [misc]simplify: Extracting #9: cost 0 inf + 6706 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1144 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 47 * * [misc]simplify: Extracting #6: cost 6 inf + 459 * * [misc]simplify: Extracting #7: cost 4 inf + 743 * * [misc]simplify: Extracting #8: cost 0 inf + 2033 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 10 inf + 1994 * * [misc]simplify: Extracting #8: cost 0 inf + 6184 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1145 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 24 inf + 1 * * [misc]simplify: Extracting #5: cost 21 inf + 47 * * [misc]simplify: Extracting #6: cost 14 inf + 783 * * [misc]simplify: Extracting #7: cost 10 inf + 1711 * * [misc]simplify: Extracting #8: cost 7 inf + 2679 * * [misc]simplify: Extracting #9: cost 1 inf + 5697 * * [misc]simplify: Extracting #10: cost 0 inf + 6421 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1510 * * [misc]simplify: Extracting #8: cost 4 inf + 5376 * * [misc]simplify: Extracting #9: cost 0 inf + 7468 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1146 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 5 * * [misc]simplify: Extracting #6: cost 13 inf + 495 * * [misc]simplify: Extracting #7: cost 8 inf + 1429 * * [misc]simplify: Extracting #8: cost 1 inf + 3967 * * [misc]simplify: Extracting #9: cost 0 inf + 4651 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1550 * * [misc]simplify: Extracting #8: cost 4 inf + 5416 * * [misc]simplify: Extracting #9: cost 0 inf + 7508 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1147 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 88 * * [misc]simplify: Extracting #6: cost 4 inf + 1025 * * [misc]simplify: Extracting #7: cost 1 inf + 1993 * * [misc]simplify: Extracting #8: cost 0 inf + 2477 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 14 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 944 * * [misc]simplify: Extracting #8: cost 4 inf + 1832 * * [misc]simplify: Extracting #9: cost 0 inf + 3766 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1148 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 5 * * [misc]simplify: Extracting #6: cost 14 inf + 171 * * [misc]simplify: Extracting #7: cost 9 inf + 1023 * * [misc]simplify: Extracting #8: cost 4 inf + 2155 * * [misc]simplify: Extracting #9: cost 0 inf + 4169 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1510 * * [misc]simplify: Extracting #8: cost 4 inf + 5136 * * [misc]simplify: Extracting #9: cost 0 inf + 7148 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1149 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 47 * * [misc]simplify: Extracting #6: cost 6 inf + 459 * * [misc]simplify: Extracting #7: cost 3 inf + 1025 * * [misc]simplify: Extracting #8: cost 1 inf + 1549 * * [misc]simplify: Extracting #9: cost 0 inf + 2033 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1914 * * [misc]simplify: Extracting #8: cost 3 inf + 5016 * * [misc]simplify: Extracting #9: cost 0 inf + 6626 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1150 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 5 * * [misc]simplify: Extracting #6: cost 14 inf + 171 * * [misc]simplify: Extracting #7: cost 9 inf + 1023 * * [misc]simplify: Extracting #8: cost 4 inf + 2155 * * [misc]simplify: Extracting #9: cost 0 inf + 4169 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1510 * * [misc]simplify: Extracting #8: cost 4 inf + 5136 * * [misc]simplify: Extracting #9: cost 0 inf + 7148 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1151 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 47 * * [misc]simplify: Extracting #6: cost 6 inf + 459 * * [misc]simplify: Extracting #7: cost 3 inf + 1025 * * [misc]simplify: Extracting #8: cost 1 inf + 1549 * * [misc]simplify: Extracting #9: cost 0 inf + 2033 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1914 * * [misc]simplify: Extracting #8: cost 3 inf + 5016 * * [misc]simplify: Extracting #9: cost 0 inf + 6626 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1152 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 5 * * [misc]simplify: Extracting #6: cost 14 inf + 171 * * [misc]simplify: Extracting #7: cost 9 inf + 1023 * * [misc]simplify: Extracting #8: cost 4 inf + 2155 * * [misc]simplify: Extracting #9: cost 0 inf + 4169 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1510 * * [misc]simplify: Extracting #8: cost 4 inf + 5136 * * [misc]simplify: Extracting #9: cost 0 inf + 7148 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1153 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 47 * * [misc]simplify: Extracting #6: cost 6 inf + 459 * * [misc]simplify: Extracting #7: cost 3 inf + 1025 * * [misc]simplify: Extracting #8: cost 1 inf + 1549 * * [misc]simplify: Extracting #9: cost 0 inf + 2033 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1914 * * [misc]simplify: Extracting #8: cost 3 inf + 5016 * * [misc]simplify: Extracting #9: cost 0 inf + 6626 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1154 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 47 * * [misc]simplify: Extracting #6: cost 11 inf + 743 * * [misc]simplify: Extracting #7: cost 6 inf + 2275 * * [misc]simplify: Extracting #8: cost 2 inf + 4047 * * [misc]simplify: Extracting #9: cost 0 inf + 5175 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1308 * * [misc]simplify: Extracting #8: cost 5 inf + 3968 * * [misc]simplify: Extracting #9: cost 0 inf + 6304 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1155 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 47 * * [misc]simplify: Extracting #6: cost 11 inf + 459 * * [misc]simplify: Extracting #7: cost 9 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2395 * * [misc]simplify: Extracting #9: cost 0 inf + 3927 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1550 * * [misc]simplify: Extracting #8: cost 5 inf + 4210 * * [misc]simplify: Extracting #9: cost 0 inf + 6706 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1156 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 5 * * [misc]simplify: Extracting #6: cost 14 inf + 171 * * [misc]simplify: Extracting #7: cost 10 inf + 743 * * [misc]simplify: Extracting #8: cost 6 inf + 1631 * * [misc]simplify: Extracting #9: cost 2 inf + 3083 * * [misc]simplify: Extracting #10: cost 0 inf + 4169 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1510 * * [misc]simplify: Extracting #8: cost 8 inf + 3204 * * [misc]simplify: Extracting #9: cost 2 inf + 5982 * * [misc]simplify: Extracting #10: cost 0 inf + 7148 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1157 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 88 * * [misc]simplify: Extracting #6: cost 4 inf + 743 * * [misc]simplify: Extracting #7: cost 2 inf + 1187 * * [misc]simplify: Extracting #8: cost 0 inf + 2035 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 742 * * [misc]simplify: Extracting #8: cost 2 inf + 2478 * * [misc]simplify: Extracting #9: cost 0 inf + 3204 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1158 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 459 * * [misc]simplify: Extracting #7: cost 3 inf + 743 * * [misc]simplify: Extracting #8: cost 1 inf + 1187 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 2 inf + 4858 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1159 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 88 * * [misc]simplify: Extracting #6: cost 4 inf + 743 * * [misc]simplify: Extracting #7: cost 2 inf + 1187 * * [misc]simplify: Extracting #8: cost 0 inf + 2035 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 742 * * [misc]simplify: Extracting #8: cost 2 inf + 2478 * * [misc]simplify: Extracting #9: cost 0 inf + 3204 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1160 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 459 * * [misc]simplify: Extracting #7: cost 3 inf + 743 * * [misc]simplify: Extracting #8: cost 2 inf + 945 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 2 inf + 4858 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1161 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 88 * * [misc]simplify: Extracting #6: cost 4 inf + 743 * * [misc]simplify: Extracting #7: cost 2 inf + 1187 * * [misc]simplify: Extracting #8: cost 0 inf + 2035 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 742 * * [misc]simplify: Extracting #8: cost 2 inf + 2478 * * [misc]simplify: Extracting #9: cost 0 inf + 3204 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1162 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 459 * * [misc]simplify: Extracting #7: cost 3 inf + 743 * * [misc]simplify: Extracting #8: cost 1 inf + 1187 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 2 inf + 4858 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1163 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 47 * * [misc]simplify: Extracting #6: cost 6 inf + 581 * * [misc]simplify: Extracting #7: cost 5 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 1227 * * [misc]simplify: Extracting #9: cost 0 inf + 2557 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 4 inf + 4130 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1164 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 581 * * [misc]simplify: Extracting #7: cost 4 inf + 743 * * [misc]simplify: Extracting #8: cost 0 inf + 2033 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 9 inf + 2356 * * [misc]simplify: Extracting #8: cost 0 inf + 6184 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1165 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 581 * * [misc]simplify: Extracting #7: cost 2 inf + 1307 * * [misc]simplify: Extracting #8: cost 0 inf + 2033 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1752 * * [misc]simplify: Extracting #8: cost 3 inf + 5056 * * [misc]simplify: Extracting #9: cost 0 inf + 6626 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1166 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 4 inf + 581 * * [misc]simplify: Extracting #7: cost 3 inf + 743 * * [misc]simplify: Extracting #8: cost 1 inf + 1187 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 4 inf + 3970 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1167 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt 1))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 47 * * [misc]simplify: Extracting #5: cost 0 inf + 377 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1591 * * [misc]simplify: Extracting #8: cost 0 inf + 2803 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1168 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 4 inf + 581 * * [misc]simplify: Extracting #7: cost 3 inf + 743 * * [misc]simplify: Extracting #8: cost 1 inf + 1187 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 4 inf + 3970 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1169 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt 1))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 47 * * [misc]simplify: Extracting #5: cost 0 inf + 377 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1591 * * [misc]simplify: Extracting #8: cost 0 inf + 2803 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1170 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 4 inf + 581 * * [misc]simplify: Extracting #7: cost 3 inf + 743 * * [misc]simplify: Extracting #8: cost 1 inf + 1187 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 4 inf + 3970 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1171 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 47 * * [misc]simplify: Extracting #5: cost 0 inf + 377 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1591 * * [misc]simplify: Extracting #8: cost 0 inf + 2803 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1172 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 47 * * [misc]simplify: Extracting #6: cost 11 inf + 743 * * [misc]simplify: Extracting #7: cost 6 inf + 2275 * * [misc]simplify: Extracting #8: cost 2 inf + 4047 * * [misc]simplify: Extracting #9: cost 0 inf + 5175 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1308 * * [misc]simplify: Extracting #8: cost 5 inf + 3968 * * [misc]simplify: Extracting #9: cost 0 inf + 6304 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1173 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 47 * * [misc]simplify: Extracting #6: cost 11 inf + 459 * * [misc]simplify: Extracting #7: cost 9 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2395 * * [misc]simplify: Extracting #9: cost 0 inf + 3927 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1550 * * [misc]simplify: Extracting #8: cost 5 inf + 4210 * * [misc]simplify: Extracting #9: cost 0 inf + 6706 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1174 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 5 * * [misc]simplify: Extracting #6: cost 14 inf + 171 * * [misc]simplify: Extracting #7: cost 10 inf + 743 * * [misc]simplify: Extracting #8: cost 6 inf + 1631 * * [misc]simplify: Extracting #9: cost 2 inf + 3083 * * [misc]simplify: Extracting #10: cost 0 inf + 4169 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1510 * * [misc]simplify: Extracting #8: cost 8 inf + 3204 * * [misc]simplify: Extracting #9: cost 2 inf + 5982 * * [misc]simplify: Extracting #10: cost 0 inf + 7148 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1175 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 88 * * [misc]simplify: Extracting #6: cost 4 inf + 743 * * [misc]simplify: Extracting #7: cost 2 inf + 1187 * * [misc]simplify: Extracting #8: cost 0 inf + 2035 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 742 * * [misc]simplify: Extracting #8: cost 2 inf + 2478 * * [misc]simplify: Extracting #9: cost 0 inf + 3204 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1176 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 459 * * [misc]simplify: Extracting #7: cost 3 inf + 743 * * [misc]simplify: Extracting #8: cost 1 inf + 1187 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 2 inf + 4858 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1177 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 88 * * [misc]simplify: Extracting #6: cost 4 inf + 743 * * [misc]simplify: Extracting #7: cost 2 inf + 1187 * * [misc]simplify: Extracting #8: cost 0 inf + 2035 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 742 * * [misc]simplify: Extracting #8: cost 2 inf + 2478 * * [misc]simplify: Extracting #9: cost 0 inf + 3204 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1178 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 459 * * [misc]simplify: Extracting #7: cost 3 inf + 743 * * [misc]simplify: Extracting #8: cost 2 inf + 945 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 2 inf + 4858 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1179 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 88 * * [misc]simplify: Extracting #6: cost 4 inf + 743 * * [misc]simplify: Extracting #7: cost 2 inf + 1187 * * [misc]simplify: Extracting #8: cost 0 inf + 2035 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 742 * * [misc]simplify: Extracting #8: cost 2 inf + 2478 * * [misc]simplify: Extracting #9: cost 0 inf + 3204 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1180 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 459 * * [misc]simplify: Extracting #7: cost 3 inf + 743 * * [misc]simplify: Extracting #8: cost 1 inf + 1187 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 2 inf + 4858 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1181 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 47 * * [misc]simplify: Extracting #6: cost 7 inf + 459 * * [misc]simplify: Extracting #7: cost 5 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 1227 * * [misc]simplify: Extracting #9: cost 1 inf + 2033 * * [misc]simplify: Extracting #10: cost 0 inf + 2557 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 4 inf + 4130 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1182 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 47 * * [misc]simplify: Extracting #6: cost 6 inf + 459 * * [misc]simplify: Extracting #7: cost 4 inf + 743 * * [misc]simplify: Extracting #8: cost 2 inf + 1267 * * [misc]simplify: Extracting #9: cost 0 inf + 2033 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 9 inf + 2356 * * [misc]simplify: Extracting #8: cost 0 inf + 6184 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1183 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 47 * * [misc]simplify: Extracting #6: cost 6 inf + 459 * * [misc]simplify: Extracting #7: cost 4 inf + 783 * * [misc]simplify: Extracting #8: cost 1 inf + 1549 * * [misc]simplify: Extracting #9: cost 0 inf + 2033 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1752 * * [misc]simplify: Extracting #8: cost 3 inf + 5056 * * [misc]simplify: Extracting #9: cost 0 inf + 6626 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1184 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 459 * * [misc]simplify: Extracting #7: cost 3 inf + 743 * * [misc]simplify: Extracting #8: cost 2 inf + 945 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 4 inf + 3970 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1185 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt 1)) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 47 * * [misc]simplify: Extracting #5: cost 0 inf + 377 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1591 * * [misc]simplify: Extracting #8: cost 0 inf + 2803 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1186 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 459 * * [misc]simplify: Extracting #7: cost 3 inf + 743 * * [misc]simplify: Extracting #8: cost 2 inf + 945 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 4 inf + 3970 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1187 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 47 * * [misc]simplify: Extracting #5: cost 0 inf + 377 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1591 * * [misc]simplify: Extracting #8: cost 0 inf + 2803 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1188 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 459 * * [misc]simplify: Extracting #7: cost 3 inf + 743 * * [misc]simplify: Extracting #8: cost 2 inf + 945 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 4 inf + 3970 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1189 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 47 * * [misc]simplify: Extracting #5: cost 0 inf + 377 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1591 * * [misc]simplify: Extracting #8: cost 0 inf + 2803 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1190 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 47 * * [misc]simplify: Extracting #6: cost 11 inf + 743 * * [misc]simplify: Extracting #7: cost 6 inf + 2275 * * [misc]simplify: Extracting #8: cost 2 inf + 4047 * * [misc]simplify: Extracting #9: cost 0 inf + 5175 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1308 * * [misc]simplify: Extracting #8: cost 5 inf + 3968 * * [misc]simplify: Extracting #9: cost 0 inf + 6304 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1191 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 47 * * [misc]simplify: Extracting #6: cost 11 inf + 459 * * [misc]simplify: Extracting #7: cost 9 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 2395 * * [misc]simplify: Extracting #9: cost 0 inf + 3927 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 1550 * * [misc]simplify: Extracting #8: cost 5 inf + 4210 * * [misc]simplify: Extracting #9: cost 0 inf + 6706 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1192 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 5 * * [misc]simplify: Extracting #6: cost 14 inf + 171 * * [misc]simplify: Extracting #7: cost 10 inf + 743 * * [misc]simplify: Extracting #8: cost 6 inf + 1631 * * [misc]simplify: Extracting #9: cost 2 inf + 3083 * * [misc]simplify: Extracting #10: cost 0 inf + 4169 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 458 * * [misc]simplify: Extracting #7: cost 13 inf + 1510 * * [misc]simplify: Extracting #8: cost 8 inf + 3204 * * [misc]simplify: Extracting #9: cost 2 inf + 5982 * * [misc]simplify: Extracting #10: cost 0 inf + 7148 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1193 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 88 * * [misc]simplify: Extracting #6: cost 4 inf + 743 * * [misc]simplify: Extracting #7: cost 2 inf + 1187 * * [misc]simplify: Extracting #8: cost 0 inf + 2035 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 742 * * [misc]simplify: Extracting #8: cost 2 inf + 2478 * * [misc]simplify: Extracting #9: cost 0 inf + 3204 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1194 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 459 * * [misc]simplify: Extracting #7: cost 3 inf + 743 * * [misc]simplify: Extracting #8: cost 1 inf + 1187 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 2 inf + 4858 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1195 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 88 * * [misc]simplify: Extracting #6: cost 4 inf + 743 * * [misc]simplify: Extracting #7: cost 2 inf + 1187 * * [misc]simplify: Extracting #8: cost 0 inf + 2035 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 742 * * [misc]simplify: Extracting #8: cost 2 inf + 2478 * * [misc]simplify: Extracting #9: cost 0 inf + 3204 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1196 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 459 * * [misc]simplify: Extracting #7: cost 3 inf + 743 * * [misc]simplify: Extracting #8: cost 2 inf + 945 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 2 inf + 4858 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1197 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 88 * * [misc]simplify: Extracting #6: cost 4 inf + 743 * * [misc]simplify: Extracting #7: cost 2 inf + 1187 * * [misc]simplify: Extracting #8: cost 0 inf + 2035 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 87 * * [misc]simplify: Extracting #7: cost 7 inf + 742 * * [misc]simplify: Extracting #8: cost 2 inf + 2478 * * [misc]simplify: Extracting #9: cost 0 inf + 3204 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1198 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 459 * * [misc]simplify: Extracting #7: cost 3 inf + 743 * * [misc]simplify: Extracting #8: cost 1 inf + 1187 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 2 inf + 4858 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1199 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 47 * * [misc]simplify: Extracting #6: cost 6 inf + 581 * * [misc]simplify: Extracting #7: cost 4 inf + 945 * * [misc]simplify: Extracting #8: cost 3 inf + 1227 * * [misc]simplify: Extracting #9: cost 0 inf + 2557 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 4 inf + 4130 * * [misc]simplify: Extracting #9: cost 0 inf + 5782 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1200 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 581 * * [misc]simplify: Extracting #7: cost 3 inf + 985 * * [misc]simplify: Extracting #8: cost 0 inf + 2033 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 16 inf + 458 * * [misc]simplify: Extracting #7: cost 9 inf + 2356 * * [misc]simplify: Extracting #8: cost 0 inf + 6184 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1201 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 581 * * [misc]simplify: Extracting #7: cost 2 inf + 1267 * * [misc]simplify: Extracting #8: cost 0 inf + 2033 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 17 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1752 * * [misc]simplify: Extracting #8: cost 3 inf + 5056 * * [misc]simplify: Extracting #9: cost 0 inf + 6626 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1202 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 4 inf + 581 * * [misc]simplify: Extracting #7: cost 2 inf + 945 * * [misc]simplify: Extracting #8: cost 1 inf + 1187 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 4 inf + 3970 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1203 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) 1) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 47 * * [misc]simplify: Extracting #5: cost 0 inf + 377 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1591 * * [misc]simplify: Extracting #8: cost 0 inf + 2803 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1204 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 4 inf + 581 * * [misc]simplify: Extracting #7: cost 2 inf + 945 * * [misc]simplify: Extracting #8: cost 1 inf + 1187 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 4 inf + 3970 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1205 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 47 * * [misc]simplify: Extracting #5: cost 0 inf + 377 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1591 * * [misc]simplify: Extracting #8: cost 0 inf + 2803 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1206 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 4 inf + 581 * * [misc]simplify: Extracting #7: cost 2 inf + 945 * * [misc]simplify: Extracting #8: cost 1 inf + 1187 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 11 inf + 1308 * * [misc]simplify: Extracting #8: cost 4 inf + 3970 * * [misc]simplify: Extracting #9: cost 0 inf + 5462 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1207 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) 1) 1) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 47 * * [misc]simplify: Extracting #5: cost 0 inf + 377 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 8 inf + 615 * * [misc]simplify: Extracting #7: cost 3 inf + 1591 * * [misc]simplify: Extracting #8: cost 0 inf + 2803 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (+ (* b d) (* a c))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1208 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 26 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 2 * * [misc]simplify: Extracting #4: cost 26 inf + 3 * * [misc]simplify: Extracting #5: cost 28 inf + 3 * * [misc]simplify: Extracting #6: cost 30 inf + 3 * * [misc]simplify: Extracting #7: cost 27 inf + 46 * * [misc]simplify: Extracting #8: cost 25 inf + 209 * * [misc]simplify: Extracting #9: cost 21 inf + 1097 * * [misc]simplify: Extracting #10: cost 4 inf + 7581 * * [misc]simplify: Extracting #11: cost 0 inf + 9151 * [exit]simplify: Simplified to (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 46 * * [misc]simplify: Extracting #6: cost 10 inf + 416 * * [misc]simplify: Extracting #7: cost 7 inf + 1022 * * [misc]simplify: Extracting #8: cost 4 inf + 2272 * * [misc]simplify: Extracting #9: cost 0 inf + 4044 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1209 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 37 inf + 0 * * [misc]simplify: Extracting #2: cost 38 inf + 1 * * [misc]simplify: Extracting #3: cost 39 inf + 1 * * [misc]simplify: Extracting #4: cost 41 inf + 1 * * [misc]simplify: Extracting #5: cost 43 inf + 1 * * [misc]simplify: Extracting #6: cost 40 inf + 44 * * [misc]simplify: Extracting #7: cost 37 inf + 369 * * [misc]simplify: Extracting #8: cost 25 inf + 4517 * * [misc]simplify: Extracting #9: cost 9 inf + 11517 * * [misc]simplify: Extracting #10: cost 0 inf + 15902 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 2636 * * [misc]simplify: Extracting #7: cost 0 inf + 6822 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1210 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (183 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 36 inf + 0 * * [misc]simplify: Extracting #2: cost 41 inf + 1 * * [misc]simplify: Extracting #3: cost 44 inf + 1 * * [misc]simplify: Extracting #4: cost 46 inf + 1 * * [misc]simplify: Extracting #5: cost 48 inf + 1 * * [misc]simplify: Extracting #6: cost 45 inf + 44 * * [misc]simplify: Extracting #7: cost 36 inf + 1902 * * [misc]simplify: Extracting #8: cost 21 inf + 7739 * * [misc]simplify: Extracting #9: cost 1 inf + 19110 * * [misc]simplify: Extracting #10: cost 0 inf + 19712 * [exit]simplify: Simplified to (/ (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 46 * * [misc]simplify: Extracting #5: cost 18 inf + 416 * * [misc]simplify: Extracting #6: cost 13 inf + 1628 * * [misc]simplify: Extracting #7: cost 8 inf + 3562 * * [misc]simplify: Extracting #8: cost 2 inf + 6460 * * [misc]simplify: Extracting #9: cost 0 inf + 7826 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1211 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 37 inf + 0 * * [misc]simplify: Extracting #2: cost 38 inf + 1 * * [misc]simplify: Extracting #3: cost 39 inf + 1 * * [misc]simplify: Extracting #4: cost 41 inf + 1 * * [misc]simplify: Extracting #5: cost 43 inf + 1 * * [misc]simplify: Extracting #6: cost 40 inf + 44 * * [misc]simplify: Extracting #7: cost 38 inf + 207 * * [misc]simplify: Extracting #8: cost 18 inf + 7454 * * [misc]simplify: Extracting #9: cost 0 inf + 15662 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 12 inf + 1426 * * [misc]simplify: Extracting #7: cost 5 inf + 4288 * * [misc]simplify: Extracting #8: cost 0 inf + 6662 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1212 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 24 inf + 1 * * [misc]simplify: Extracting #6: cost 21 inf + 44 * * [misc]simplify: Extracting #7: cost 19 inf + 207 * * [misc]simplify: Extracting #8: cost 11 inf + 2425 * * [misc]simplify: Extracting #9: cost 1 inf + 6691 * * [misc]simplify: Extracting #10: cost 0 inf + 7054 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 4 * * [misc]simplify: Extracting #5: cost 16 inf + 292 * * [misc]simplify: Extracting #6: cost 11 inf + 1426 * * [misc]simplify: Extracting #7: cost 1 inf + 5738 * * [misc]simplify: Extracting #8: cost 0 inf + 6140 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1213 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 37 inf + 0 * * [misc]simplify: Extracting #2: cost 38 inf + 1 * * [misc]simplify: Extracting #3: cost 39 inf + 1 * * [misc]simplify: Extracting #4: cost 41 inf + 1 * * [misc]simplify: Extracting #5: cost 43 inf + 1 * * [misc]simplify: Extracting #6: cost 40 inf + 44 * * [misc]simplify: Extracting #7: cost 38 inf + 207 * * [misc]simplify: Extracting #8: cost 18 inf + 7454 * * [misc]simplify: Extracting #9: cost 0 inf + 15662 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 12 inf + 1426 * * [misc]simplify: Extracting #7: cost 5 inf + 4288 * * [misc]simplify: Extracting #8: cost 0 inf + 6662 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1214 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 24 inf + 1 * * [misc]simplify: Extracting #6: cost 21 inf + 44 * * [misc]simplify: Extracting #7: cost 19 inf + 207 * * [misc]simplify: Extracting #8: cost 15 inf + 1175 * * [misc]simplify: Extracting #9: cost 1 inf + 6571 * * [misc]simplify: Extracting #10: cost 0 inf + 6974 * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 4 * * [misc]simplify: Extracting #5: cost 16 inf + 292 * * [misc]simplify: Extracting #6: cost 11 inf + 1426 * * [misc]simplify: Extracting #7: cost 1 inf + 5738 * * [misc]simplify: Extracting #8: cost 0 inf + 6140 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1215 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 37 inf + 0 * * [misc]simplify: Extracting #2: cost 38 inf + 1 * * [misc]simplify: Extracting #3: cost 39 inf + 1 * * [misc]simplify: Extracting #4: cost 41 inf + 1 * * [misc]simplify: Extracting #5: cost 43 inf + 1 * * [misc]simplify: Extracting #6: cost 40 inf + 44 * * [misc]simplify: Extracting #7: cost 38 inf + 207 * * [misc]simplify: Extracting #8: cost 18 inf + 7454 * * [misc]simplify: Extracting #9: cost 0 inf + 15662 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 12 inf + 1426 * * [misc]simplify: Extracting #7: cost 5 inf + 4288 * * [misc]simplify: Extracting #8: cost 0 inf + 6662 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1216 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 44 * * [misc]simplify: Extracting #7: cost 18 inf + 207 * * [misc]simplify: Extracting #8: cost 12 inf + 1701 * * [misc]simplify: Extracting #9: cost 2 inf + 5767 * * [misc]simplify: Extracting #10: cost 0 inf + 6611 * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 4 * * [misc]simplify: Extracting #5: cost 16 inf + 292 * * [misc]simplify: Extracting #6: cost 11 inf + 1426 * * [misc]simplify: Extracting #7: cost 1 inf + 5738 * * [misc]simplify: Extracting #8: cost 0 inf + 6140 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1217 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 36 inf + 0 * * [misc]simplify: Extracting #2: cost 41 inf + 1 * * [misc]simplify: Extracting #3: cost 42 inf + 1 * * [misc]simplify: Extracting #4: cost 44 inf + 1 * * [misc]simplify: Extracting #5: cost 46 inf + 1 * * [misc]simplify: Extracting #6: cost 43 inf + 44 * * [misc]simplify: Extracting #7: cost 37 inf + 1216 * * [misc]simplify: Extracting #8: cost 14 inf + 10393 * * [misc]simplify: Extracting #9: cost 1 inf + 16785 * * [misc]simplify: Extracting #10: cost 0 inf + 17308 * [exit]simplify: Simplified to (/ 1 (* (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2998 * * [misc]simplify: Extracting #7: cost 0 inf + 6822 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1218 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 2 * * [misc]simplify: Extracting #5: cost 15 inf + 2 * * [misc]simplify: Extracting #6: cost 17 inf + 2 * * [misc]simplify: Extracting #7: cost 15 inf + 4 * * [misc]simplify: Extracting #8: cost 12 inf + 208 * * [misc]simplify: Extracting #9: cost 10 inf + 612 * * [misc]simplify: Extracting #10: cost 3 inf + 2910 * * [misc]simplify: Extracting #11: cost 0 inf + 3918 * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 5 inf + 1103 * * [misc]simplify: Extracting #7: cost 0 inf + 3201 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1219 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 1 * * [misc]simplify: Extracting #3: cost 27 inf + 1 * * [misc]simplify: Extracting #4: cost 29 inf + 1 * * [misc]simplify: Extracting #5: cost 31 inf + 1 * * [misc]simplify: Extracting #6: cost 28 inf + 44 * * [misc]simplify: Extracting #7: cost 26 inf + 207 * * [misc]simplify: Extracting #8: cost 19 inf + 1943 * * [misc]simplify: Extracting #9: cost 4 inf + 8061 * * [misc]simplify: Extracting #10: cost 0 inf + 10030 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1950 * * [misc]simplify: Extracting #7: cost 3 inf + 5454 * * [misc]simplify: Extracting #8: cost 0 inf + 7304 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1220 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 1 * * [misc]simplify: Extracting #3: cost 25 inf + 1 * * [misc]simplify: Extracting #4: cost 27 inf + 1 * * [misc]simplify: Extracting #5: cost 29 inf + 1 * * [misc]simplify: Extracting #6: cost 26 inf + 44 * * [misc]simplify: Extracting #7: cost 24 inf + 207 * * [misc]simplify: Extracting #8: cost 18 inf + 1660 * * [misc]simplify: Extracting #9: cost 0 inf + 8666 * [exit]simplify: Simplified to (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2878 * * [misc]simplify: Extracting #7: cost 0 inf + 6502 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1221 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 3 * * [misc]simplify: Extracting #7: cost 12 inf + 207 * * [misc]simplify: Extracting #8: cost 11 inf + 369 * * [misc]simplify: Extracting #9: cost 5 inf + 2184 * * [misc]simplify: Extracting #10: cost 0 inf + 3836 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 10 inf + 1708 * * [misc]simplify: Extracting #7: cost 0 inf + 5980 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1222 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 1 * * [misc]simplify: Extracting #3: cost 25 inf + 1 * * [misc]simplify: Extracting #4: cost 27 inf + 1 * * [misc]simplify: Extracting #5: cost 29 inf + 1 * * [misc]simplify: Extracting #6: cost 26 inf + 44 * * [misc]simplify: Extracting #7: cost 24 inf + 207 * * [misc]simplify: Extracting #8: cost 18 inf + 1660 * * [misc]simplify: Extracting #9: cost 0 inf + 8666 * [exit]simplify: Simplified to (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2878 * * [misc]simplify: Extracting #7: cost 0 inf + 6502 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1223 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 3 * * [misc]simplify: Extracting #7: cost 11 inf + 207 * * [misc]simplify: Extracting #8: cost 9 inf + 611 * * [misc]simplify: Extracting #9: cost 1 inf + 3192 * * [misc]simplify: Extracting #10: cost 0 inf + 3554 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 10 inf + 1708 * * [misc]simplify: Extracting #7: cost 0 inf + 5980 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1224 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 1 * * [misc]simplify: Extracting #3: cost 25 inf + 1 * * [misc]simplify: Extracting #4: cost 27 inf + 1 * * [misc]simplify: Extracting #5: cost 29 inf + 1 * * [misc]simplify: Extracting #6: cost 26 inf + 44 * * [misc]simplify: Extracting #7: cost 24 inf + 207 * * [misc]simplify: Extracting #8: cost 18 inf + 1660 * * [misc]simplify: Extracting #9: cost 0 inf + 8666 * [exit]simplify: Simplified to (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2878 * * [misc]simplify: Extracting #7: cost 0 inf + 6502 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1225 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 3 * * [misc]simplify: Extracting #7: cost 12 inf + 207 * * [misc]simplify: Extracting #8: cost 8 inf + 1175 * * [misc]simplify: Extracting #9: cost 1 inf + 3514 * * [misc]simplify: Extracting #10: cost 0 inf + 3836 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 10 inf + 1708 * * [misc]simplify: Extracting #7: cost 0 inf + 5980 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1226 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 37 inf + 0 * * [misc]simplify: Extracting #2: cost 41 inf + 1 * * [misc]simplify: Extracting #3: cost 44 inf + 1 * * [misc]simplify: Extracting #4: cost 46 inf + 1 * * [misc]simplify: Extracting #5: cost 48 inf + 1 * * [misc]simplify: Extracting #6: cost 45 inf + 44 * * [misc]simplify: Extracting #7: cost 35 inf + 2466 * * [misc]simplify: Extracting #8: cost 14 inf + 11279 * * [misc]simplify: Extracting #9: cost 0 inf + 19233 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 46 * * [misc]simplify: Extracting #5: cost 17 inf + 618 * * [misc]simplify: Extracting #6: cost 10 inf + 2756 * * [misc]simplify: Extracting #7: cost 2 inf + 6460 * * [misc]simplify: Extracting #8: cost 0 inf + 7826 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1227 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 1 * * [misc]simplify: Extracting #3: cost 27 inf + 1 * * [misc]simplify: Extracting #4: cost 29 inf + 1 * * [misc]simplify: Extracting #5: cost 31 inf + 1 * * [misc]simplify: Extracting #6: cost 28 inf + 44 * * [misc]simplify: Extracting #7: cost 26 inf + 207 * * [misc]simplify: Extracting #8: cost 12 inf + 4159 * * [misc]simplify: Extracting #9: cost 0 inf + 10030 * [exit]simplify: Simplified to (/ (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 618 * * [misc]simplify: Extracting #6: cost 5 inf + 4728 * * [misc]simplify: Extracting #7: cost 0 inf + 7304 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1228 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 1 * * [misc]simplify: Extracting #6: cost 18 inf + 3 * * [misc]simplify: Extracting #7: cost 15 inf + 207 * * [misc]simplify: Extracting #8: cost 9 inf + 1579 * * [misc]simplify: Extracting #9: cost 2 inf + 4198 * * [misc]simplify: Extracting #10: cost 0 inf + 5203 * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 452 * * [misc]simplify: Extracting #6: cost 5 inf + 1546 * * [misc]simplify: Extracting #7: cost 1 inf + 3440 * * [misc]simplify: Extracting #8: cost 0 inf + 4004 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1229 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 1 * * [misc]simplify: Extracting #3: cost 28 inf + 1 * * [misc]simplify: Extracting #4: cost 30 inf + 1 * * [misc]simplify: Extracting #5: cost 32 inf + 1 * * [misc]simplify: Extracting #6: cost 29 inf + 44 * * [misc]simplify: Extracting #7: cost 27 inf + 207 * * [misc]simplify: Extracting #8: cost 12 inf + 4521 * * [misc]simplify: Extracting #9: cost 0 inf + 10392 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 46 * * [misc]simplify: Extracting #5: cost 17 inf + 618 * * [misc]simplify: Extracting #6: cost 10 inf + 2756 * * [misc]simplify: Extracting #7: cost 2 inf + 6220 * * [misc]simplify: Extracting #8: cost 0 inf + 7506 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1230 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 3 * * [misc]simplify: Extracting #7: cost 14 inf + 207 * * [misc]simplify: Extracting #8: cost 9 inf + 1297 * * [misc]simplify: Extracting #9: cost 2 inf + 3755 * * [misc]simplify: Extracting #10: cost 0 inf + 4720 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 618 * * [misc]simplify: Extracting #6: cost 5 inf + 4488 * * [misc]simplify: Extracting #7: cost 0 inf + 6984 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1231 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 1 * * [misc]simplify: Extracting #3: cost 28 inf + 1 * * [misc]simplify: Extracting #4: cost 30 inf + 1 * * [misc]simplify: Extracting #5: cost 32 inf + 1 * * [misc]simplify: Extracting #6: cost 29 inf + 44 * * [misc]simplify: Extracting #7: cost 27 inf + 207 * * [misc]simplify: Extracting #8: cost 12 inf + 4521 * * [misc]simplify: Extracting #9: cost 0 inf + 10392 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 46 * * [misc]simplify: Extracting #5: cost 17 inf + 618 * * [misc]simplify: Extracting #6: cost 10 inf + 2756 * * [misc]simplify: Extracting #7: cost 2 inf + 6220 * * [misc]simplify: Extracting #8: cost 0 inf + 7506 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1232 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 3 * * [misc]simplify: Extracting #7: cost 12 inf + 651 * * [misc]simplify: Extracting #8: cost 8 inf + 1579 * * [misc]simplify: Extracting #9: cost 0 inf + 4720 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 618 * * [misc]simplify: Extracting #6: cost 5 inf + 4488 * * [misc]simplify: Extracting #7: cost 0 inf + 6984 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1233 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 1 * * [misc]simplify: Extracting #3: cost 28 inf + 1 * * [misc]simplify: Extracting #4: cost 30 inf + 1 * * [misc]simplify: Extracting #5: cost 32 inf + 1 * * [misc]simplify: Extracting #6: cost 29 inf + 44 * * [misc]simplify: Extracting #7: cost 27 inf + 207 * * [misc]simplify: Extracting #8: cost 12 inf + 4521 * * [misc]simplify: Extracting #9: cost 0 inf + 10392 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 46 * * [misc]simplify: Extracting #5: cost 17 inf + 618 * * [misc]simplify: Extracting #6: cost 10 inf + 2756 * * [misc]simplify: Extracting #7: cost 2 inf + 6220 * * [misc]simplify: Extracting #8: cost 0 inf + 7506 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1234 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 3 * * [misc]simplify: Extracting #7: cost 14 inf + 207 * * [misc]simplify: Extracting #8: cost 8 inf + 1579 * * [misc]simplify: Extracting #9: cost 1 inf + 4238 * * [misc]simplify: Extracting #10: cost 0 inf + 4720 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 618 * * [misc]simplify: Extracting #6: cost 5 inf + 4488 * * [misc]simplify: Extracting #7: cost 0 inf + 6984 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1235 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 36 inf + 0 * * [misc]simplify: Extracting #2: cost 44 inf + 1 * * [misc]simplify: Extracting #3: cost 45 inf + 1 * * [misc]simplify: Extracting #4: cost 47 inf + 1 * * [misc]simplify: Extracting #5: cost 49 inf + 1 * * [misc]simplify: Extracting #6: cost 46 inf + 44 * * [misc]simplify: Extracting #7: cost 40 inf + 1216 * * [misc]simplify: Extracting #8: cost 25 inf + 6974 * * [misc]simplify: Extracting #9: cost 2 inf + 17589 * * [misc]simplify: Extracting #10: cost 0 inf + 18513 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 12 inf + 1426 * * [misc]simplify: Extracting #7: cost 5 inf + 4248 * * [misc]simplify: Extracting #8: cost 0 inf + 6662 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1236 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 1 * * [misc]simplify: Extracting #3: cost 25 inf + 1 * * [misc]simplify: Extracting #4: cost 27 inf + 1 * * [misc]simplify: Extracting #5: cost 29 inf + 1 * * [misc]simplify: Extracting #6: cost 26 inf + 44 * * [misc]simplify: Extracting #7: cost 24 inf + 207 * * [misc]simplify: Extracting #8: cost 14 inf + 2989 * * [misc]simplify: Extracting #9: cost 0 inf + 8666 * [exit]simplify: Simplified to (/ (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 2636 * * [misc]simplify: Extracting #7: cost 0 inf + 6502 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1237 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 1 * * [misc]simplify: Extracting #3: cost 28 inf + 1 * * [misc]simplify: Extracting #4: cost 30 inf + 1 * * [misc]simplify: Extracting #5: cost 32 inf + 1 * * [misc]simplify: Extracting #6: cost 29 inf + 44 * * [misc]simplify: Extracting #7: cost 26 inf + 409 * * [misc]simplify: Extracting #8: cost 10 inf + 5446 * * [misc]simplify: Extracting #9: cost 0 inf + 10392 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 46 * * [misc]simplify: Extracting #5: cost 18 inf + 416 * * [misc]simplify: Extracting #6: cost 13 inf + 1628 * * [misc]simplify: Extracting #7: cost 8 inf + 3402 * * [misc]simplify: Extracting #8: cost 2 inf + 6220 * * [misc]simplify: Extracting #9: cost 0 inf + 7506 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1238 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 3 * * [misc]simplify: Extracting #7: cost 13 inf + 207 * * [misc]simplify: Extracting #8: cost 9 inf + 1055 * * [misc]simplify: Extracting #9: cost 1 inf + 3836 * * [misc]simplify: Extracting #10: cost 0 inf + 4239 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 250 * * [misc]simplify: Extracting #6: cost 7 inf + 820 * * [misc]simplify: Extracting #7: cost 2 inf + 2676 * * [misc]simplify: Extracting #8: cost 0 inf + 3442 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1239 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 3 * * [misc]simplify: Extracting #7: cost 11 inf + 369 * * [misc]simplify: Extracting #8: cost 4 inf + 2386 * * [misc]simplify: Extracting #9: cost 0 inf + 3836 * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 4 * * [misc]simplify: Extracting #5: cost 16 inf + 292 * * [misc]simplify: Extracting #6: cost 11 inf + 1426 * * [misc]simplify: Extracting #7: cost 1 inf + 5458 * * [misc]simplify: Extracting #8: cost 0 inf + 5820 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1240 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 3 * * [misc]simplify: Extracting #7: cost 13 inf + 207 * * [misc]simplify: Extracting #8: cost 9 inf + 1055 * * [misc]simplify: Extracting #9: cost 1 inf + 3836 * * [misc]simplify: Extracting #10: cost 0 inf + 4239 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 250 * * [misc]simplify: Extracting #6: cost 7 inf + 820 * * [misc]simplify: Extracting #7: cost 2 inf + 2676 * * [misc]simplify: Extracting #8: cost 0 inf + 3442 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1241 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 3 * * [misc]simplify: Extracting #7: cost 13 inf + 207 * * [misc]simplify: Extracting #8: cost 11 inf + 571 * * [misc]simplify: Extracting #9: cost 2 inf + 3273 * * [misc]simplify: Extracting #10: cost 0 inf + 4118 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 4 * * [misc]simplify: Extracting #5: cost 16 inf + 292 * * [misc]simplify: Extracting #6: cost 11 inf + 1426 * * [misc]simplify: Extracting #7: cost 1 inf + 5458 * * [misc]simplify: Extracting #8: cost 0 inf + 5820 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1242 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 3 * * [misc]simplify: Extracting #7: cost 13 inf + 207 * * [misc]simplify: Extracting #8: cost 9 inf + 1055 * * [misc]simplify: Extracting #9: cost 1 inf + 3836 * * [misc]simplify: Extracting #10: cost 0 inf + 4239 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 250 * * [misc]simplify: Extracting #6: cost 7 inf + 820 * * [misc]simplify: Extracting #7: cost 2 inf + 2676 * * [misc]simplify: Extracting #8: cost 0 inf + 3442 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1243 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 3 * * [misc]simplify: Extracting #7: cost 12 inf + 207 * * [misc]simplify: Extracting #8: cost 11 inf + 369 * * [misc]simplify: Extracting #9: cost 5 inf + 2103 * * [misc]simplify: Extracting #10: cost 0 inf + 3836 * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 4 * * [misc]simplify: Extracting #5: cost 16 inf + 292 * * [misc]simplify: Extracting #6: cost 11 inf + 1426 * * [misc]simplify: Extracting #7: cost 1 inf + 5458 * * [misc]simplify: Extracting #8: cost 0 inf + 5820 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1244 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 21 inf + 1 * * [misc]simplify: Extracting #7: cost 19 inf + 3 * * [misc]simplify: Extracting #8: cost 16 inf + 207 * * [misc]simplify: Extracting #9: cost 12 inf + 1095 * * [misc]simplify: Extracting #10: cost 3 inf + 4359 * * [misc]simplify: Extracting #11: cost 0 inf + 5727 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1426 * * [misc]simplify: Extracting #7: cost 5 inf + 3966 * * [misc]simplify: Extracting #8: cost 0 inf + 6140 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1245 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 1 * * [misc]simplify: Extracting #7: cost 10 inf + 3 * * [misc]simplify: Extracting #8: cost 7 inf + 207 * * [misc]simplify: Extracting #9: cost 2 inf + 1458 * * [misc]simplify: Extracting #10: cost 0 inf + 2184 * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 10 inf + 1708 * * [misc]simplify: Extracting #7: cost 0 inf + 5980 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1246 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 1 * * [misc]simplify: Extracting #7: cost 13 inf + 3 * * [misc]simplify: Extracting #8: cost 8 inf + 651 * * [misc]simplify: Extracting #9: cost 4 inf + 1579 * * [misc]simplify: Extracting #10: cost 1 inf + 2467 * * [misc]simplify: Extracting #11: cost 0 inf + 2990 * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1870 * * [misc]simplify: Extracting #7: cost 3 inf + 5214 * * [misc]simplify: Extracting #8: cost 0 inf + 6984 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1247 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 1 * * [misc]simplify: Extracting #7: cost 11 inf + 3 * * [misc]simplify: Extracting #8: cost 8 inf + 207 * * [misc]simplify: Extracting #9: cost 3 inf + 1378 * * [misc]simplify: Extracting #10: cost 0 inf + 2386 * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1426 * * [misc]simplify: Extracting #7: cost 5 inf + 3846 * * [misc]simplify: Extracting #8: cost 0 inf + 5820 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1248 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 7 inf + 44 * * [misc]simplify: Extracting #7: cost 6 inf + 85 * * [misc]simplify: Extracting #8: cost 2 inf + 894 * * [misc]simplify: Extracting #9: cost 0 inf + 1499 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 5 inf + 1022 * * [misc]simplify: Extracting #7: cost 0 inf + 3040 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1249 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 1 * * [misc]simplify: Extracting #7: cost 11 inf + 3 * * [misc]simplify: Extracting #8: cost 8 inf + 207 * * [misc]simplify: Extracting #9: cost 3 inf + 1378 * * [misc]simplify: Extracting #10: cost 0 inf + 2386 * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1426 * * [misc]simplify: Extracting #7: cost 5 inf + 3846 * * [misc]simplify: Extracting #8: cost 0 inf + 5820 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1250 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 7 inf + 44 * * [misc]simplify: Extracting #7: cost 6 inf + 85 * * [misc]simplify: Extracting #8: cost 2 inf + 894 * * [misc]simplify: Extracting #9: cost 0 inf + 1499 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 5 inf + 1022 * * [misc]simplify: Extracting #7: cost 0 inf + 3040 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1251 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 1 * * [misc]simplify: Extracting #7: cost 11 inf + 3 * * [misc]simplify: Extracting #8: cost 8 inf + 207 * * [misc]simplify: Extracting #9: cost 3 inf + 1378 * * [misc]simplify: Extracting #10: cost 0 inf + 2386 * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1426 * * [misc]simplify: Extracting #7: cost 5 inf + 3846 * * [misc]simplify: Extracting #8: cost 0 inf + 5820 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1252 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 7 inf + 44 * * [misc]simplify: Extracting #7: cost 6 inf + 85 * * [misc]simplify: Extracting #8: cost 2 inf + 894 * * [misc]simplify: Extracting #9: cost 0 inf + 1499 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 5 inf + 1022 * * [misc]simplify: Extracting #7: cost 0 inf + 3040 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1253 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 36 inf + 0 * * [misc]simplify: Extracting #2: cost 44 inf + 1 * * [misc]simplify: Extracting #3: cost 45 inf + 1 * * [misc]simplify: Extracting #4: cost 47 inf + 1 * * [misc]simplify: Extracting #5: cost 49 inf + 1 * * [misc]simplify: Extracting #6: cost 46 inf + 44 * * [misc]simplify: Extracting #7: cost 40 inf + 1216 * * [misc]simplify: Extracting #8: cost 25 inf + 6974 * * [misc]simplify: Extracting #9: cost 2 inf + 17589 * * [misc]simplify: Extracting #10: cost 0 inf + 18513 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 12 inf + 1426 * * [misc]simplify: Extracting #7: cost 5 inf + 4248 * * [misc]simplify: Extracting #8: cost 0 inf + 6662 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1254 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 1 * * [misc]simplify: Extracting #3: cost 25 inf + 1 * * [misc]simplify: Extracting #4: cost 27 inf + 1 * * [misc]simplify: Extracting #5: cost 29 inf + 1 * * [misc]simplify: Extracting #6: cost 26 inf + 44 * * [misc]simplify: Extracting #7: cost 24 inf + 207 * * [misc]simplify: Extracting #8: cost 14 inf + 2989 * * [misc]simplify: Extracting #9: cost 0 inf + 8666 * [exit]simplify: Simplified to (/ (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 2636 * * [misc]simplify: Extracting #7: cost 0 inf + 6502 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1255 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 1 * * [misc]simplify: Extracting #3: cost 28 inf + 1 * * [misc]simplify: Extracting #4: cost 30 inf + 1 * * [misc]simplify: Extracting #5: cost 32 inf + 1 * * [misc]simplify: Extracting #6: cost 29 inf + 44 * * [misc]simplify: Extracting #7: cost 26 inf + 409 * * [misc]simplify: Extracting #8: cost 10 inf + 5446 * * [misc]simplify: Extracting #9: cost 0 inf + 10392 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 46 * * [misc]simplify: Extracting #5: cost 18 inf + 416 * * [misc]simplify: Extracting #6: cost 13 inf + 1628 * * [misc]simplify: Extracting #7: cost 8 inf + 3402 * * [misc]simplify: Extracting #8: cost 2 inf + 6220 * * [misc]simplify: Extracting #9: cost 0 inf + 7506 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1256 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 3 * * [misc]simplify: Extracting #7: cost 13 inf + 207 * * [misc]simplify: Extracting #8: cost 9 inf + 1055 * * [misc]simplify: Extracting #9: cost 1 inf + 3836 * * [misc]simplify: Extracting #10: cost 0 inf + 4239 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 250 * * [misc]simplify: Extracting #6: cost 7 inf + 820 * * [misc]simplify: Extracting #7: cost 2 inf + 2676 * * [misc]simplify: Extracting #8: cost 0 inf + 3442 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1257 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 3 * * [misc]simplify: Extracting #7: cost 11 inf + 369 * * [misc]simplify: Extracting #8: cost 4 inf + 2386 * * [misc]simplify: Extracting #9: cost 0 inf + 3836 * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 4 * * [misc]simplify: Extracting #5: cost 16 inf + 292 * * [misc]simplify: Extracting #6: cost 11 inf + 1426 * * [misc]simplify: Extracting #7: cost 1 inf + 5458 * * [misc]simplify: Extracting #8: cost 0 inf + 5820 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1258 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 3 * * [misc]simplify: Extracting #7: cost 13 inf + 207 * * [misc]simplify: Extracting #8: cost 9 inf + 1055 * * [misc]simplify: Extracting #9: cost 1 inf + 3836 * * [misc]simplify: Extracting #10: cost 0 inf + 4239 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 250 * * [misc]simplify: Extracting #6: cost 7 inf + 820 * * [misc]simplify: Extracting #7: cost 2 inf + 2676 * * [misc]simplify: Extracting #8: cost 0 inf + 3442 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1259 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 3 * * [misc]simplify: Extracting #7: cost 13 inf + 207 * * [misc]simplify: Extracting #8: cost 11 inf + 571 * * [misc]simplify: Extracting #9: cost 2 inf + 3273 * * [misc]simplify: Extracting #10: cost 0 inf + 4118 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 4 * * [misc]simplify: Extracting #5: cost 16 inf + 292 * * [misc]simplify: Extracting #6: cost 11 inf + 1426 * * [misc]simplify: Extracting #7: cost 1 inf + 5458 * * [misc]simplify: Extracting #8: cost 0 inf + 5820 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1260 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 3 * * [misc]simplify: Extracting #7: cost 13 inf + 207 * * [misc]simplify: Extracting #8: cost 9 inf + 1055 * * [misc]simplify: Extracting #9: cost 1 inf + 3836 * * [misc]simplify: Extracting #10: cost 0 inf + 4239 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 250 * * [misc]simplify: Extracting #6: cost 7 inf + 820 * * [misc]simplify: Extracting #7: cost 2 inf + 2676 * * [misc]simplify: Extracting #8: cost 0 inf + 3442 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1261 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 3 * * [misc]simplify: Extracting #7: cost 12 inf + 207 * * [misc]simplify: Extracting #8: cost 11 inf + 369 * * [misc]simplify: Extracting #9: cost 5 inf + 2103 * * [misc]simplify: Extracting #10: cost 0 inf + 3836 * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 4 * * [misc]simplify: Extracting #5: cost 16 inf + 292 * * [misc]simplify: Extracting #6: cost 11 inf + 1426 * * [misc]simplify: Extracting #7: cost 1 inf + 5458 * * [misc]simplify: Extracting #8: cost 0 inf + 5820 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1262 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 1 * * [misc]simplify: Extracting #6: cost 19 inf + 1 * * [misc]simplify: Extracting #7: cost 17 inf + 3 * * [misc]simplify: Extracting #8: cost 14 inf + 207 * * [misc]simplify: Extracting #9: cost 3 inf + 3594 * * [misc]simplify: Extracting #10: cost 0 inf + 4921 * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1426 * * [misc]simplify: Extracting #7: cost 5 inf + 3966 * * [misc]simplify: Extracting #8: cost 0 inf + 6140 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1263 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 1 * * [misc]simplify: Extracting #7: cost 10 inf + 3 * * [misc]simplify: Extracting #8: cost 7 inf + 207 * * [misc]simplify: Extracting #9: cost 5 inf + 611 * * [misc]simplify: Extracting #10: cost 0 inf + 2184 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 10 inf + 1708 * * [misc]simplify: Extracting #7: cost 0 inf + 5980 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1264 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 1 * * [misc]simplify: Extracting #7: cost 13 inf + 3 * * [misc]simplify: Extracting #8: cost 10 inf + 207 * * [misc]simplify: Extracting #9: cost 1 inf + 2467 * * [misc]simplify: Extracting #10: cost 0 inf + 2990 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1870 * * [misc]simplify: Extracting #7: cost 3 inf + 5214 * * [misc]simplify: Extracting #8: cost 0 inf + 6984 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1265 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 1 * * [misc]simplify: Extracting #7: cost 11 inf + 3 * * [misc]simplify: Extracting #8: cost 8 inf + 207 * * [misc]simplify: Extracting #9: cost 5 inf + 813 * * [misc]simplify: Extracting #10: cost 1 inf + 1943 * * [misc]simplify: Extracting #11: cost 0 inf + 2386 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1426 * * [misc]simplify: Extracting #7: cost 5 inf + 3846 * * [misc]simplify: Extracting #8: cost 0 inf + 5820 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1266 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 7 inf + 44 * * [misc]simplify: Extracting #7: cost 6 inf + 85 * * [misc]simplify: Extracting #8: cost 2 inf + 894 * * [misc]simplify: Extracting #9: cost 0 inf + 1499 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 5 inf + 1022 * * [misc]simplify: Extracting #7: cost 0 inf + 3040 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1267 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 1 * * [misc]simplify: Extracting #7: cost 11 inf + 3 * * [misc]simplify: Extracting #8: cost 8 inf + 207 * * [misc]simplify: Extracting #9: cost 5 inf + 813 * * [misc]simplify: Extracting #10: cost 1 inf + 1943 * * [misc]simplify: Extracting #11: cost 0 inf + 2386 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1426 * * [misc]simplify: Extracting #7: cost 5 inf + 3846 * * [misc]simplify: Extracting #8: cost 0 inf + 5820 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1268 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 7 inf + 44 * * [misc]simplify: Extracting #7: cost 2 inf + 894 * * [misc]simplify: Extracting #8: cost 0 inf + 1499 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 5 inf + 1022 * * [misc]simplify: Extracting #7: cost 0 inf + 3040 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1269 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 1 * * [misc]simplify: Extracting #7: cost 11 inf + 3 * * [misc]simplify: Extracting #8: cost 8 inf + 207 * * [misc]simplify: Extracting #9: cost 5 inf + 813 * * [misc]simplify: Extracting #10: cost 1 inf + 1943 * * [misc]simplify: Extracting #11: cost 0 inf + 2386 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1426 * * [misc]simplify: Extracting #7: cost 5 inf + 3846 * * [misc]simplify: Extracting #8: cost 0 inf + 5820 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1270 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 7 inf + 44 * * [misc]simplify: Extracting #7: cost 2 inf + 894 * * [misc]simplify: Extracting #8: cost 0 inf + 1499 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 5 inf + 1022 * * [misc]simplify: Extracting #7: cost 0 inf + 3040 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1271 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 36 inf + 0 * * [misc]simplify: Extracting #2: cost 44 inf + 1 * * [misc]simplify: Extracting #3: cost 45 inf + 1 * * [misc]simplify: Extracting #4: cost 47 inf + 1 * * [misc]simplify: Extracting #5: cost 49 inf + 1 * * [misc]simplify: Extracting #6: cost 46 inf + 44 * * [misc]simplify: Extracting #7: cost 40 inf + 1216 * * [misc]simplify: Extracting #8: cost 25 inf + 6974 * * [misc]simplify: Extracting #9: cost 2 inf + 17589 * * [misc]simplify: Extracting #10: cost 0 inf + 18513 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 12 inf + 1426 * * [misc]simplify: Extracting #7: cost 5 inf + 4248 * * [misc]simplify: Extracting #8: cost 0 inf + 6662 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1272 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 1 * * [misc]simplify: Extracting #3: cost 25 inf + 1 * * [misc]simplify: Extracting #4: cost 27 inf + 1 * * [misc]simplify: Extracting #5: cost 29 inf + 1 * * [misc]simplify: Extracting #6: cost 26 inf + 44 * * [misc]simplify: Extracting #7: cost 24 inf + 207 * * [misc]simplify: Extracting #8: cost 14 inf + 2989 * * [misc]simplify: Extracting #9: cost 0 inf + 8666 * [exit]simplify: Simplified to (/ (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 2636 * * [misc]simplify: Extracting #7: cost 0 inf + 6502 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1273 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 1 * * [misc]simplify: Extracting #3: cost 28 inf + 1 * * [misc]simplify: Extracting #4: cost 30 inf + 1 * * [misc]simplify: Extracting #5: cost 32 inf + 1 * * [misc]simplify: Extracting #6: cost 29 inf + 44 * * [misc]simplify: Extracting #7: cost 26 inf + 409 * * [misc]simplify: Extracting #8: cost 10 inf + 5446 * * [misc]simplify: Extracting #9: cost 0 inf + 10392 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 46 * * [misc]simplify: Extracting #5: cost 18 inf + 416 * * [misc]simplify: Extracting #6: cost 13 inf + 1628 * * [misc]simplify: Extracting #7: cost 8 inf + 3402 * * [misc]simplify: Extracting #8: cost 2 inf + 6220 * * [misc]simplify: Extracting #9: cost 0 inf + 7506 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1274 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 3 * * [misc]simplify: Extracting #7: cost 13 inf + 207 * * [misc]simplify: Extracting #8: cost 9 inf + 1055 * * [misc]simplify: Extracting #9: cost 1 inf + 3836 * * [misc]simplify: Extracting #10: cost 0 inf + 4239 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 250 * * [misc]simplify: Extracting #6: cost 7 inf + 820 * * [misc]simplify: Extracting #7: cost 2 inf + 2676 * * [misc]simplify: Extracting #8: cost 0 inf + 3442 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1275 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 3 * * [misc]simplify: Extracting #7: cost 11 inf + 369 * * [misc]simplify: Extracting #8: cost 4 inf + 2386 * * [misc]simplify: Extracting #9: cost 0 inf + 3836 * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 4 * * [misc]simplify: Extracting #5: cost 16 inf + 292 * * [misc]simplify: Extracting #6: cost 11 inf + 1426 * * [misc]simplify: Extracting #7: cost 1 inf + 5458 * * [misc]simplify: Extracting #8: cost 0 inf + 5820 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1276 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 3 * * [misc]simplify: Extracting #7: cost 13 inf + 207 * * [misc]simplify: Extracting #8: cost 9 inf + 1055 * * [misc]simplify: Extracting #9: cost 1 inf + 3836 * * [misc]simplify: Extracting #10: cost 0 inf + 4239 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 250 * * [misc]simplify: Extracting #6: cost 7 inf + 820 * * [misc]simplify: Extracting #7: cost 2 inf + 2676 * * [misc]simplify: Extracting #8: cost 0 inf + 3442 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1277 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 3 * * [misc]simplify: Extracting #7: cost 13 inf + 207 * * [misc]simplify: Extracting #8: cost 11 inf + 571 * * [misc]simplify: Extracting #9: cost 2 inf + 3273 * * [misc]simplify: Extracting #10: cost 0 inf + 4118 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 4 * * [misc]simplify: Extracting #5: cost 16 inf + 292 * * [misc]simplify: Extracting #6: cost 11 inf + 1426 * * [misc]simplify: Extracting #7: cost 1 inf + 5458 * * [misc]simplify: Extracting #8: cost 0 inf + 5820 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1278 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 3 * * [misc]simplify: Extracting #7: cost 13 inf + 207 * * [misc]simplify: Extracting #8: cost 9 inf + 1055 * * [misc]simplify: Extracting #9: cost 1 inf + 3836 * * [misc]simplify: Extracting #10: cost 0 inf + 4239 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 250 * * [misc]simplify: Extracting #6: cost 7 inf + 820 * * [misc]simplify: Extracting #7: cost 2 inf + 2676 * * [misc]simplify: Extracting #8: cost 0 inf + 3442 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1279 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 3 * * [misc]simplify: Extracting #7: cost 12 inf + 207 * * [misc]simplify: Extracting #8: cost 11 inf + 369 * * [misc]simplify: Extracting #9: cost 5 inf + 2103 * * [misc]simplify: Extracting #10: cost 0 inf + 3836 * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 4 * * [misc]simplify: Extracting #5: cost 16 inf + 292 * * [misc]simplify: Extracting #6: cost 11 inf + 1426 * * [misc]simplify: Extracting #7: cost 1 inf + 5458 * * [misc]simplify: Extracting #8: cost 0 inf + 5820 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1280 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 26 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 1 * * [misc]simplify: Extracting #3: cost 28 inf + 1 * * [misc]simplify: Extracting #4: cost 30 inf + 1 * * [misc]simplify: Extracting #5: cost 32 inf + 1 * * [misc]simplify: Extracting #6: cost 29 inf + 44 * * [misc]simplify: Extracting #7: cost 27 inf + 207 * * [misc]simplify: Extracting #8: cost 22 inf + 1377 * * [misc]simplify: Extracting #9: cost 4 inf + 8986 * * [misc]simplify: Extracting #10: cost 0 inf + 10718 * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1426 * * [misc]simplify: Extracting #7: cost 5 inf + 3966 * * [misc]simplify: Extracting #8: cost 0 inf + 6140 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1281 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 3 * * [misc]simplify: Extracting #7: cost 13 inf + 207 * * [misc]simplify: Extracting #8: cost 12 inf + 369 * * [misc]simplify: Extracting #9: cost 9 inf + 1176 * * [misc]simplify: Extracting #10: cost 1 inf + 3918 * * [misc]simplify: Extracting #11: cost 0 inf + 4280 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 10 inf + 1708 * * [misc]simplify: Extracting #7: cost 0 inf + 5980 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1282 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 21 inf + 1 * * [misc]simplify: Extracting #6: cost 19 inf + 3 * * [misc]simplify: Extracting #7: cost 17 inf + 85 * * [misc]simplify: Extracting #8: cost 12 inf + 1055 * * [misc]simplify: Extracting #9: cost 1 inf + 5204 * * [misc]simplify: Extracting #10: cost 0 inf + 5686 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1870 * * [misc]simplify: Extracting #7: cost 3 inf + 5214 * * [misc]simplify: Extracting #8: cost 0 inf + 6984 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1283 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 3 * * [misc]simplify: Extracting #7: cost 14 inf + 207 * * [misc]simplify: Extracting #8: cost 9 inf + 1338 * * [misc]simplify: Extracting #9: cost 2 inf + 3916 * * [misc]simplify: Extracting #10: cost 0 inf + 4642 * [exit]simplify: Simplified to (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1426 * * [misc]simplify: Extracting #7: cost 5 inf + 3846 * * [misc]simplify: Extracting #8: cost 0 inf + 5820 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1284 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 7 inf + 44 * * [misc]simplify: Extracting #7: cost 6 inf + 85 * * [misc]simplify: Extracting #8: cost 2 inf + 894 * * [misc]simplify: Extracting #9: cost 0 inf + 1499 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 5 inf + 1022 * * [misc]simplify: Extracting #7: cost 0 inf + 3040 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1285 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 3 * * [misc]simplify: Extracting #7: cost 14 inf + 207 * * [misc]simplify: Extracting #8: cost 9 inf + 1338 * * [misc]simplify: Extracting #9: cost 2 inf + 3916 * * [misc]simplify: Extracting #10: cost 0 inf + 4642 * [exit]simplify: Simplified to (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1426 * * [misc]simplify: Extracting #7: cost 5 inf + 3846 * * [misc]simplify: Extracting #8: cost 0 inf + 5820 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1286 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 8 inf + 3 * * [misc]simplify: Extracting #7: cost 2 inf + 894 * * [misc]simplify: Extracting #8: cost 0 inf + 1499 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 5 inf + 1022 * * [misc]simplify: Extracting #7: cost 0 inf + 3040 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1287 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 3 * * [misc]simplify: Extracting #7: cost 14 inf + 207 * * [misc]simplify: Extracting #8: cost 9 inf + 1338 * * [misc]simplify: Extracting #9: cost 2 inf + 3916 * * [misc]simplify: Extracting #10: cost 0 inf + 4642 * [exit]simplify: Simplified to (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1426 * * [misc]simplify: Extracting #7: cost 5 inf + 3846 * * [misc]simplify: Extracting #8: cost 0 inf + 5820 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1288 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 8 inf + 3 * * [misc]simplify: Extracting #7: cost 4 inf + 369 * * [misc]simplify: Extracting #8: cost 1 inf + 1176 * * [misc]simplify: Extracting #9: cost 0 inf + 1499 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 5 inf + 1022 * * [misc]simplify: Extracting #7: cost 0 inf + 3040 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1289 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 2 * * [misc]simplify: Extracting #4: cost 20 inf + 3 * * [misc]simplify: Extracting #5: cost 22 inf + 3 * * [misc]simplify: Extracting #6: cost 24 inf + 3 * * [misc]simplify: Extracting #7: cost 21 inf + 46 * * [misc]simplify: Extracting #8: cost 19 inf + 209 * * [misc]simplify: Extracting #9: cost 13 inf + 1542 * * [misc]simplify: Extracting #10: cost 8 inf + 3154 * * [misc]simplify: Extracting #11: cost 0 inf + 6615 * [exit]simplify: Simplified to (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 46 * * [misc]simplify: Extracting #6: cost 10 inf + 578 * * [misc]simplify: Extracting #7: cost 6 inf + 1506 * * [misc]simplify: Extracting #8: cost 1 inf + 3722 * * [misc]simplify: Extracting #9: cost 0 inf + 4366 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1290 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 28 inf + 1 * * [misc]simplify: Extracting #3: cost 30 inf + 1 * * [misc]simplify: Extracting #4: cost 32 inf + 1 * * [misc]simplify: Extracting #5: cost 34 inf + 1 * * [misc]simplify: Extracting #6: cost 31 inf + 44 * * [misc]simplify: Extracting #7: cost 29 inf + 207 * * [misc]simplify: Extracting #8: cost 17 inf + 3392 * * [misc]simplify: Extracting #9: cost 0 inf + 11837 * [exit]simplify: Simplified to (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 46 * * [misc]simplify: Extracting #5: cost 17 inf + 578 * * [misc]simplify: Extracting #6: cost 10 inf + 2756 * * [misc]simplify: Extracting #7: cost 2 inf + 6460 * * [misc]simplify: Extracting #8: cost 0 inf + 7826 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1291 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 26 inf + 1 * * [misc]simplify: Extracting #3: cost 28 inf + 1 * * [misc]simplify: Extracting #4: cost 30 inf + 1 * * [misc]simplify: Extracting #5: cost 32 inf + 1 * * [misc]simplify: Extracting #6: cost 29 inf + 44 * * [misc]simplify: Extracting #7: cost 27 inf + 207 * * [misc]simplify: Extracting #8: cost 17 inf + 3069 * * [misc]simplify: Extracting #9: cost 7 inf + 7615 * * [misc]simplify: Extracting #10: cost 0 inf + 10913 * [exit]simplify: Simplified to (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 4688 * * [misc]simplify: Extracting #7: cost 0 inf + 7264 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1292 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 26 inf + 1 * * [misc]simplify: Extracting #3: cost 28 inf + 1 * * [misc]simplify: Extracting #4: cost 30 inf + 1 * * [misc]simplify: Extracting #5: cost 32 inf + 1 * * [misc]simplify: Extracting #6: cost 29 inf + 44 * * [misc]simplify: Extracting #7: cost 27 inf + 207 * * [misc]simplify: Extracting #8: cost 14 inf + 4157 * * [misc]simplify: Extracting #9: cost 1 inf + 9990 * * [misc]simplify: Extracting #10: cost 0 inf + 10513 * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 4488 * * [misc]simplify: Extracting #7: cost 0 inf + 7104 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1293 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 1 * * [misc]simplify: Extracting #6: cost 18 inf + 3 * * [misc]simplify: Extracting #7: cost 15 inf + 207 * * [misc]simplify: Extracting #8: cost 9 inf + 1539 * * [misc]simplify: Extracting #9: cost 2 inf + 4237 * * [misc]simplify: Extracting #10: cost 0 inf + 5123 * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 4126 * * [misc]simplify: Extracting #7: cost 0 inf + 6582 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1294 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 26 inf + 1 * * [misc]simplify: Extracting #3: cost 28 inf + 1 * * [misc]simplify: Extracting #4: cost 30 inf + 1 * * [misc]simplify: Extracting #5: cost 32 inf + 1 * * [misc]simplify: Extracting #6: cost 29 inf + 44 * * [misc]simplify: Extracting #7: cost 27 inf + 207 * * [misc]simplify: Extracting #8: cost 14 inf + 4157 * * [misc]simplify: Extracting #9: cost 1 inf + 9990 * * [misc]simplify: Extracting #10: cost 0 inf + 10513 * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 4488 * * [misc]simplify: Extracting #7: cost 0 inf + 7104 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1295 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 1 * * [misc]simplify: Extracting #6: cost 18 inf + 3 * * [misc]simplify: Extracting #7: cost 15 inf + 207 * * [misc]simplify: Extracting #8: cost 9 inf + 1540 * * [misc]simplify: Extracting #9: cost 1 inf + 4760 * * [misc]simplify: Extracting #10: cost 0 inf + 5123 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 4126 * * [misc]simplify: Extracting #7: cost 0 inf + 6582 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1296 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 26 inf + 1 * * [misc]simplify: Extracting #3: cost 28 inf + 1 * * [misc]simplify: Extracting #4: cost 30 inf + 1 * * [misc]simplify: Extracting #5: cost 32 inf + 1 * * [misc]simplify: Extracting #6: cost 29 inf + 44 * * [misc]simplify: Extracting #7: cost 27 inf + 207 * * [misc]simplify: Extracting #8: cost 14 inf + 4157 * * [misc]simplify: Extracting #9: cost 1 inf + 9990 * * [misc]simplify: Extracting #10: cost 0 inf + 10513 * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 4488 * * [misc]simplify: Extracting #7: cost 0 inf + 7104 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1297 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 1 * * [misc]simplify: Extracting #6: cost 18 inf + 3 * * [misc]simplify: Extracting #7: cost 15 inf + 207 * * [misc]simplify: Extracting #8: cost 9 inf + 1540 * * [misc]simplify: Extracting #9: cost 8 inf + 1822 * * [misc]simplify: Extracting #10: cost 3 inf + 3915 * * [misc]simplify: Extracting #11: cost 0 inf + 5123 * [exit]simplify: Simplified to (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 4126 * * [misc]simplify: Extracting #7: cost 0 inf + 6582 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1298 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 1 * * [misc]simplify: Extracting #3: cost 29 inf + 1 * * [misc]simplify: Extracting #4: cost 31 inf + 1 * * [misc]simplify: Extracting #5: cost 33 inf + 1 * * [misc]simplify: Extracting #6: cost 30 inf + 44 * * [misc]simplify: Extracting #7: cost 28 inf + 207 * * [misc]simplify: Extracting #8: cost 16 inf + 3393 * * [misc]simplify: Extracting #9: cost 2 inf + 10190 * * [misc]simplify: Extracting #10: cost 0 inf + 11314 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (* (fabs (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (* (fabs (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 46 * * [misc]simplify: Extracting #5: cost 17 inf + 578 * * [misc]simplify: Extracting #6: cost 10 inf + 2756 * * [misc]simplify: Extracting #7: cost 2 inf + 6460 * * [misc]simplify: Extracting #8: cost 0 inf + 7826 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (* (fabs (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1299 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 1 * * [misc]simplify: Extracting #7: cost 15 inf + 3 * * [misc]simplify: Extracting #8: cost 12 inf + 207 * * [misc]simplify: Extracting #9: cost 5 inf + 1862 * * [misc]simplify: Extracting #10: cost 0 inf + 3875 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 412 * * [misc]simplify: Extracting #6: cost 5 inf + 1546 * * [misc]simplify: Extracting #7: cost 1 inf + 3440 * * [misc]simplify: Extracting #8: cost 0 inf + 4004 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1300 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 24 inf + 1 * * [misc]simplify: Extracting #6: cost 21 inf + 44 * * [misc]simplify: Extracting #7: cost 19 inf + 207 * * [misc]simplify: Extracting #8: cost 11 inf + 2144 * * [misc]simplify: Extracting #9: cost 4 inf + 4922 * * [misc]simplify: Extracting #10: cost 0 inf + 6772 * [exit]simplify: Simplified to (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 4728 * * [misc]simplify: Extracting #7: cost 0 inf + 7304 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1301 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 1 * * [misc]simplify: Extracting #3: cost 21 inf + 1 * * [misc]simplify: Extracting #4: cost 23 inf + 1 * * [misc]simplify: Extracting #5: cost 25 inf + 1 * * [misc]simplify: Extracting #6: cost 22 inf + 44 * * [misc]simplify: Extracting #7: cost 20 inf + 207 * * [misc]simplify: Extracting #8: cost 10 inf + 2588 * * [misc]simplify: Extracting #9: cost 0 inf + 6974 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 46 * * [misc]simplify: Extracting #5: cost 17 inf + 578 * * [misc]simplify: Extracting #6: cost 10 inf + 2756 * * [misc]simplify: Extracting #7: cost 2 inf + 6220 * * [misc]simplify: Extracting #8: cost 0 inf + 7506 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1302 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 3 * * [misc]simplify: Extracting #7: cost 11 inf + 207 * * [misc]simplify: Extracting #8: cost 4 inf + 1862 * * [misc]simplify: Extracting #9: cost 0 inf + 3392 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 4448 * * [misc]simplify: Extracting #7: cost 0 inf + 6984 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1303 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 1 * * [misc]simplify: Extracting #3: cost 21 inf + 1 * * [misc]simplify: Extracting #4: cost 23 inf + 1 * * [misc]simplify: Extracting #5: cost 25 inf + 1 * * [misc]simplify: Extracting #6: cost 22 inf + 44 * * [misc]simplify: Extracting #7: cost 20 inf + 207 * * [misc]simplify: Extracting #8: cost 10 inf + 2588 * * [misc]simplify: Extracting #9: cost 0 inf + 6974 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 46 * * [misc]simplify: Extracting #5: cost 17 inf + 578 * * [misc]simplify: Extracting #6: cost 10 inf + 2756 * * [misc]simplify: Extracting #7: cost 2 inf + 6220 * * [misc]simplify: Extracting #8: cost 0 inf + 7506 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1304 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 3 * * [misc]simplify: Extracting #7: cost 11 inf + 207 * * [misc]simplify: Extracting #8: cost 4 inf + 1862 * * [misc]simplify: Extracting #9: cost 0 inf + 3392 * [exit]simplify: Simplified to (/ 1 (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 4448 * * [misc]simplify: Extracting #7: cost 0 inf + 6984 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1305 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 1 * * [misc]simplify: Extracting #3: cost 21 inf + 1 * * [misc]simplify: Extracting #4: cost 23 inf + 1 * * [misc]simplify: Extracting #5: cost 25 inf + 1 * * [misc]simplify: Extracting #6: cost 22 inf + 44 * * [misc]simplify: Extracting #7: cost 20 inf + 207 * * [misc]simplify: Extracting #8: cost 10 inf + 2588 * * [misc]simplify: Extracting #9: cost 0 inf + 6974 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 46 * * [misc]simplify: Extracting #5: cost 17 inf + 578 * * [misc]simplify: Extracting #6: cost 10 inf + 2756 * * [misc]simplify: Extracting #7: cost 2 inf + 6220 * * [misc]simplify: Extracting #8: cost 0 inf + 7506 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1306 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 3 * * [misc]simplify: Extracting #7: cost 11 inf + 207 * * [misc]simplify: Extracting #8: cost 3 inf + 2345 * * [misc]simplify: Extracting #9: cost 0 inf + 3392 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 4448 * * [misc]simplify: Extracting #7: cost 0 inf + 6984 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1307 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 1 * * [misc]simplify: Extracting #3: cost 27 inf + 1 * * [misc]simplify: Extracting #4: cost 29 inf + 1 * * [misc]simplify: Extracting #5: cost 31 inf + 1 * * [misc]simplify: Extracting #6: cost 28 inf + 44 * * [misc]simplify: Extracting #7: cost 26 inf + 207 * * [misc]simplify: Extracting #8: cost 20 inf + 1540 * * [misc]simplify: Extracting #9: cost 5 inf + 7819 * * [misc]simplify: Extracting #10: cost 0 inf + 10390 * [exit]simplify: Simplified to (/ (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1910 * * [misc]simplify: Extracting #7: cost 3 inf + 5414 * * [misc]simplify: Extracting #8: cost 0 inf + 7264 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1308 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 24 inf + 1 * * [misc]simplify: Extracting #6: cost 21 inf + 44 * * [misc]simplify: Extracting #7: cost 19 inf + 207 * * [misc]simplify: Extracting #8: cost 13 inf + 1580 * * [misc]simplify: Extracting #9: cost 2 inf + 5927 * * [misc]simplify: Extracting #10: cost 0 inf + 6772 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1950 * * [misc]simplify: Extracting #7: cost 3 inf + 5454 * * [misc]simplify: Extracting #8: cost 0 inf + 7304 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1309 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 2 * * [misc]simplify: Extracting #5: cost 14 inf + 2 * * [misc]simplify: Extracting #6: cost 12 inf + 4 * * [misc]simplify: Extracting #7: cost 9 inf + 208 * * [misc]simplify: Extracting #8: cost 2 inf + 2144 * * [misc]simplify: Extracting #9: cost 0 inf + 2790 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 5 inf + 1143 * * [misc]simplify: Extracting #7: cost 0 inf + 3241 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1310 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 44 * * [misc]simplify: Extracting #7: cost 18 inf + 207 * * [misc]simplify: Extracting #8: cost 12 inf + 1540 * * [misc]simplify: Extracting #9: cost 1 inf + 5808 * * [misc]simplify: Extracting #10: cost 0 inf + 6130 * [exit]simplify: Simplified to (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1910 * * [misc]simplify: Extracting #7: cost 3 inf + 5214 * * [misc]simplify: Extracting #8: cost 0 inf + 6944 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1311 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 3 * * [misc]simplify: Extracting #7: cost 8 inf + 207 * * [misc]simplify: Extracting #8: cost 3 inf + 1497 * * [misc]simplify: Extracting #9: cost 0 inf + 2466 * [exit]simplify: Simplified to (/ 1 (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2798 * * [misc]simplify: Extracting #7: cost 0 inf + 6422 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1312 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 44 * * [misc]simplify: Extracting #7: cost 18 inf + 207 * * [misc]simplify: Extracting #8: cost 12 inf + 1540 * * [misc]simplify: Extracting #9: cost 1 inf + 5808 * * [misc]simplify: Extracting #10: cost 0 inf + 6130 * [exit]simplify: Simplified to (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1910 * * [misc]simplify: Extracting #7: cost 3 inf + 5214 * * [misc]simplify: Extracting #8: cost 0 inf + 6944 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1313 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 3 * * [misc]simplify: Extracting #7: cost 8 inf + 207 * * [misc]simplify: Extracting #8: cost 4 inf + 1176 * * [misc]simplify: Extracting #9: cost 1 inf + 2144 * * [misc]simplify: Extracting #10: cost 0 inf + 2466 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2798 * * [misc]simplify: Extracting #7: cost 0 inf + 6422 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1314 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 44 * * [misc]simplify: Extracting #7: cost 18 inf + 207 * * [misc]simplify: Extracting #8: cost 12 inf + 1540 * * [misc]simplify: Extracting #9: cost 1 inf + 5808 * * [misc]simplify: Extracting #10: cost 0 inf + 6130 * [exit]simplify: Simplified to (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1910 * * [misc]simplify: Extracting #7: cost 3 inf + 5214 * * [misc]simplify: Extracting #8: cost 0 inf + 6944 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1315 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 3 * * [misc]simplify: Extracting #7: cost 8 inf + 207 * * [misc]simplify: Extracting #8: cost 3 inf + 1497 * * [misc]simplify: Extracting #9: cost 0 inf + 2466 * [exit]simplify: Simplified to (/ 1 (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2798 * * [misc]simplify: Extracting #7: cost 0 inf + 6422 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1316 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 1 * * [misc]simplify: Extracting #3: cost 27 inf + 1 * * [misc]simplify: Extracting #4: cost 29 inf + 1 * * [misc]simplify: Extracting #5: cost 31 inf + 1 * * [misc]simplify: Extracting #6: cost 28 inf + 44 * * [misc]simplify: Extracting #7: cost 26 inf + 207 * * [misc]simplify: Extracting #8: cost 17 inf + 2627 * * [misc]simplify: Extracting #9: cost 7 inf + 6894 * * [misc]simplify: Extracting #10: cost 0 inf + 9990 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 4448 * * [misc]simplify: Extracting #7: cost 0 inf + 7104 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1317 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 1 * * [misc]simplify: Extracting #3: cost 21 inf + 1 * * [misc]simplify: Extracting #4: cost 23 inf + 1 * * [misc]simplify: Extracting #5: cost 25 inf + 1 * * [misc]simplify: Extracting #6: cost 22 inf + 44 * * [misc]simplify: Extracting #7: cost 20 inf + 207 * * [misc]simplify: Extracting #8: cost 7 inf + 3716 * * [misc]simplify: Extracting #9: cost 0 inf + 6974 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 46 * * [misc]simplify: Extracting #5: cost 17 inf + 578 * * [misc]simplify: Extracting #6: cost 10 inf + 2676 * * [misc]simplify: Extracting #7: cost 2 inf + 6220 * * [misc]simplify: Extracting #8: cost 0 inf + 7506 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1318 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 44 * * [misc]simplify: Extracting #7: cost 18 inf + 207 * * [misc]simplify: Extracting #8: cost 10 inf + 2225 * * [misc]simplify: Extracting #9: cost 0 inf + 6130 * [exit]simplify: Simplified to (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 4488 * * [misc]simplify: Extracting #7: cost 0 inf + 6944 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1319 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 3 * * [misc]simplify: Extracting #7: cost 11 inf + 207 * * [misc]simplify: Extracting #8: cost 5 inf + 1540 * * [misc]simplify: Extracting #9: cost 1 inf + 3030 * * [misc]simplify: Extracting #10: cost 0 inf + 3313 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 412 * * [misc]simplify: Extracting #6: cost 5 inf + 1466 * * [misc]simplify: Extracting #7: cost 1 inf + 3240 * * [misc]simplify: Extracting #8: cost 0 inf + 3764 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1320 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 3 * * [misc]simplify: Extracting #7: cost 10 inf + 207 * * [misc]simplify: Extracting #8: cost 4 inf + 1540 * * [misc]simplify: Extracting #9: cost 2 inf + 2184 * * [misc]simplify: Extracting #10: cost 0 inf + 2910 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 3966 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1321 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 3 * * [misc]simplify: Extracting #7: cost 11 inf + 207 * * [misc]simplify: Extracting #8: cost 5 inf + 1540 * * [misc]simplify: Extracting #9: cost 1 inf + 3030 * * [misc]simplify: Extracting #10: cost 0 inf + 3313 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 412 * * [misc]simplify: Extracting #6: cost 5 inf + 1466 * * [misc]simplify: Extracting #7: cost 1 inf + 3240 * * [misc]simplify: Extracting #8: cost 0 inf + 3764 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1322 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 3 * * [misc]simplify: Extracting #7: cost 10 inf + 207 * * [misc]simplify: Extracting #8: cost 4 inf + 1540 * * [misc]simplify: Extracting #9: cost 1 inf + 2508 * * [misc]simplify: Extracting #10: cost 0 inf + 2910 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 3966 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1323 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 3 * * [misc]simplify: Extracting #7: cost 11 inf + 207 * * [misc]simplify: Extracting #8: cost 5 inf + 1540 * * [misc]simplify: Extracting #9: cost 1 inf + 3030 * * [misc]simplify: Extracting #10: cost 0 inf + 3313 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 412 * * [misc]simplify: Extracting #6: cost 5 inf + 1466 * * [misc]simplify: Extracting #7: cost 1 inf + 3240 * * [misc]simplify: Extracting #8: cost 0 inf + 3764 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1324 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 3 * * [misc]simplify: Extracting #7: cost 10 inf + 207 * * [misc]simplify: Extracting #8: cost 4 inf + 1540 * * [misc]simplify: Extracting #9: cost 2 inf + 2184 * * [misc]simplify: Extracting #10: cost 0 inf + 2910 * [exit]simplify: Simplified to (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 3966 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1325 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 1 * * [misc]simplify: Extracting #7: cost 13 inf + 3 * * [misc]simplify: Extracting #8: cost 9 inf + 369 * * [misc]simplify: Extracting #9: cost 3 inf + 1822 * * [misc]simplify: Extracting #10: cost 1 inf + 2627 * * [misc]simplify: Extracting #11: cost 0 inf + 3150 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 4208 * * [misc]simplify: Extracting #7: cost 0 inf + 6582 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1326 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 1 * * [misc]simplify: Extracting #7: cost 12 inf + 3 * * [misc]simplify: Extracting #8: cost 8 inf + 369 * * [misc]simplify: Extracting #9: cost 1 inf + 2144 * * [misc]simplify: Extracting #10: cost 0 inf + 2627 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 578 * * [misc]simplify: Extracting #6: cost 9 inf + 2596 * * [misc]simplify: Extracting #7: cost 5 inf + 4368 * * [misc]simplify: Extracting #8: cost 0 inf + 6984 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1327 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 1 * * [misc]simplify: Extracting #7: cost 7 inf + 85 * * [misc]simplify: Extracting #8: cost 2 inf + 1176 * * [misc]simplify: Extracting #9: cost 0 inf + 1821 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 4088 * * [misc]simplify: Extracting #7: cost 0 inf + 6422 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1328 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 1 * * [misc]simplify: Extracting #7: cost 11 inf + 3 * * [misc]simplify: Extracting #8: cost 7 inf + 369 * * [misc]simplify: Extracting #9: cost 1 inf + 1782 * * [misc]simplify: Extracting #10: cost 0 inf + 2225 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 4088 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1329 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 1176 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 250 * * [misc]simplify: Extracting #6: cost 5 inf + 1224 * * [misc]simplify: Extracting #7: cost 0 inf + 3362 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1330 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 1 * * [misc]simplify: Extracting #7: cost 11 inf + 3 * * [misc]simplify: Extracting #8: cost 7 inf + 369 * * [misc]simplify: Extracting #9: cost 1 inf + 1782 * * [misc]simplify: Extracting #10: cost 0 inf + 2225 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 4088 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1331 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 1176 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 250 * * [misc]simplify: Extracting #6: cost 5 inf + 1224 * * [misc]simplify: Extracting #7: cost 0 inf + 3362 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1332 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 1 * * [misc]simplify: Extracting #7: cost 11 inf + 3 * * [misc]simplify: Extracting #8: cost 7 inf + 369 * * [misc]simplify: Extracting #9: cost 1 inf + 1782 * * [misc]simplify: Extracting #10: cost 0 inf + 2225 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 4088 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1333 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 1176 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 250 * * [misc]simplify: Extracting #6: cost 5 inf + 1224 * * [misc]simplify: Extracting #7: cost 0 inf + 3362 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1334 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 1 * * [misc]simplify: Extracting #3: cost 27 inf + 1 * * [misc]simplify: Extracting #4: cost 29 inf + 1 * * [misc]simplify: Extracting #5: cost 31 inf + 1 * * [misc]simplify: Extracting #6: cost 28 inf + 44 * * [misc]simplify: Extracting #7: cost 26 inf + 207 * * [misc]simplify: Extracting #8: cost 17 inf + 2627 * * [misc]simplify: Extracting #9: cost 7 inf + 6894 * * [misc]simplify: Extracting #10: cost 0 inf + 9990 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 4448 * * [misc]simplify: Extracting #7: cost 0 inf + 7104 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1335 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 1 * * [misc]simplify: Extracting #3: cost 21 inf + 1 * * [misc]simplify: Extracting #4: cost 23 inf + 1 * * [misc]simplify: Extracting #5: cost 25 inf + 1 * * [misc]simplify: Extracting #6: cost 22 inf + 44 * * [misc]simplify: Extracting #7: cost 20 inf + 207 * * [misc]simplify: Extracting #8: cost 7 inf + 3716 * * [misc]simplify: Extracting #9: cost 0 inf + 6974 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 46 * * [misc]simplify: Extracting #5: cost 17 inf + 578 * * [misc]simplify: Extracting #6: cost 10 inf + 2676 * * [misc]simplify: Extracting #7: cost 2 inf + 6220 * * [misc]simplify: Extracting #8: cost 0 inf + 7506 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1336 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 44 * * [misc]simplify: Extracting #7: cost 18 inf + 207 * * [misc]simplify: Extracting #8: cost 10 inf + 2225 * * [misc]simplify: Extracting #9: cost 0 inf + 6130 * [exit]simplify: Simplified to (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 4488 * * [misc]simplify: Extracting #7: cost 0 inf + 6944 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1337 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 3 * * [misc]simplify: Extracting #7: cost 11 inf + 207 * * [misc]simplify: Extracting #8: cost 5 inf + 1540 * * [misc]simplify: Extracting #9: cost 1 inf + 3030 * * [misc]simplify: Extracting #10: cost 0 inf + 3313 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 412 * * [misc]simplify: Extracting #6: cost 5 inf + 1466 * * [misc]simplify: Extracting #7: cost 1 inf + 3240 * * [misc]simplify: Extracting #8: cost 0 inf + 3764 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1338 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 3 * * [misc]simplify: Extracting #7: cost 10 inf + 207 * * [misc]simplify: Extracting #8: cost 4 inf + 1540 * * [misc]simplify: Extracting #9: cost 2 inf + 2184 * * [misc]simplify: Extracting #10: cost 0 inf + 2910 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 3966 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1339 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 3 * * [misc]simplify: Extracting #7: cost 11 inf + 207 * * [misc]simplify: Extracting #8: cost 5 inf + 1540 * * [misc]simplify: Extracting #9: cost 1 inf + 3030 * * [misc]simplify: Extracting #10: cost 0 inf + 3313 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 412 * * [misc]simplify: Extracting #6: cost 5 inf + 1466 * * [misc]simplify: Extracting #7: cost 1 inf + 3240 * * [misc]simplify: Extracting #8: cost 0 inf + 3764 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1340 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 3 * * [misc]simplify: Extracting #7: cost 10 inf + 207 * * [misc]simplify: Extracting #8: cost 4 inf + 1540 * * [misc]simplify: Extracting #9: cost 1 inf + 2508 * * [misc]simplify: Extracting #10: cost 0 inf + 2910 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 3966 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1341 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 3 * * [misc]simplify: Extracting #7: cost 11 inf + 207 * * [misc]simplify: Extracting #8: cost 5 inf + 1540 * * [misc]simplify: Extracting #9: cost 1 inf + 3030 * * [misc]simplify: Extracting #10: cost 0 inf + 3313 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 412 * * [misc]simplify: Extracting #6: cost 5 inf + 1466 * * [misc]simplify: Extracting #7: cost 1 inf + 3240 * * [misc]simplify: Extracting #8: cost 0 inf + 3764 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1342 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 3 * * [misc]simplify: Extracting #7: cost 10 inf + 207 * * [misc]simplify: Extracting #8: cost 4 inf + 1540 * * [misc]simplify: Extracting #9: cost 2 inf + 2184 * * [misc]simplify: Extracting #10: cost 0 inf + 2910 * [exit]simplify: Simplified to (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 3966 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1343 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 1 * * [misc]simplify: Extracting #7: cost 13 inf + 3 * * [misc]simplify: Extracting #8: cost 10 inf + 207 * * [misc]simplify: Extracting #9: cost 4 inf + 1540 * * [misc]simplify: Extracting #10: cost 1 inf + 2627 * * [misc]simplify: Extracting #11: cost 0 inf + 3150 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 4208 * * [misc]simplify: Extracting #7: cost 0 inf + 6582 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1344 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 1 * * [misc]simplify: Extracting #7: cost 12 inf + 3 * * [misc]simplify: Extracting #8: cost 9 inf + 207 * * [misc]simplify: Extracting #9: cost 2 inf + 1862 * * [misc]simplify: Extracting #10: cost 0 inf + 2627 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 578 * * [misc]simplify: Extracting #6: cost 9 inf + 2596 * * [misc]simplify: Extracting #7: cost 5 inf + 4368 * * [misc]simplify: Extracting #8: cost 0 inf + 6984 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1345 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 1 * * [misc]simplify: Extracting #7: cost 8 inf + 44 * * [misc]simplify: Extracting #8: cost 2 inf + 1176 * * [misc]simplify: Extracting #9: cost 0 inf + 1821 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 4088 * * [misc]simplify: Extracting #7: cost 0 inf + 6422 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1346 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 1 * * [misc]simplify: Extracting #7: cost 11 inf + 3 * * [misc]simplify: Extracting #8: cost 8 inf + 207 * * [misc]simplify: Extracting #9: cost 2 inf + 1540 * * [misc]simplify: Extracting #10: cost 0 inf + 2225 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 4088 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1347 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 1176 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 250 * * [misc]simplify: Extracting #6: cost 5 inf + 1224 * * [misc]simplify: Extracting #7: cost 0 inf + 3362 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1348 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 1 * * [misc]simplify: Extracting #7: cost 11 inf + 3 * * [misc]simplify: Extracting #8: cost 8 inf + 207 * * [misc]simplify: Extracting #9: cost 2 inf + 1540 * * [misc]simplify: Extracting #10: cost 0 inf + 2225 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 4088 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1349 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 1176 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 250 * * [misc]simplify: Extracting #6: cost 5 inf + 1224 * * [misc]simplify: Extracting #7: cost 0 inf + 3362 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1350 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 1 * * [misc]simplify: Extracting #7: cost 11 inf + 3 * * [misc]simplify: Extracting #8: cost 8 inf + 207 * * [misc]simplify: Extracting #9: cost 2 inf + 1540 * * [misc]simplify: Extracting #10: cost 0 inf + 2225 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 4088 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1351 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 1176 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 250 * * [misc]simplify: Extracting #6: cost 5 inf + 1224 * * [misc]simplify: Extracting #7: cost 0 inf + 3362 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1352 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 1 * * [misc]simplify: Extracting #3: cost 27 inf + 1 * * [misc]simplify: Extracting #4: cost 29 inf + 1 * * [misc]simplify: Extracting #5: cost 31 inf + 1 * * [misc]simplify: Extracting #6: cost 28 inf + 44 * * [misc]simplify: Extracting #7: cost 26 inf + 207 * * [misc]simplify: Extracting #8: cost 17 inf + 2627 * * [misc]simplify: Extracting #9: cost 7 inf + 6894 * * [misc]simplify: Extracting #10: cost 0 inf + 9990 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 4448 * * [misc]simplify: Extracting #7: cost 0 inf + 7104 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1353 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 1 * * [misc]simplify: Extracting #3: cost 21 inf + 1 * * [misc]simplify: Extracting #4: cost 23 inf + 1 * * [misc]simplify: Extracting #5: cost 25 inf + 1 * * [misc]simplify: Extracting #6: cost 22 inf + 44 * * [misc]simplify: Extracting #7: cost 20 inf + 207 * * [misc]simplify: Extracting #8: cost 7 inf + 3716 * * [misc]simplify: Extracting #9: cost 0 inf + 6974 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 46 * * [misc]simplify: Extracting #5: cost 17 inf + 578 * * [misc]simplify: Extracting #6: cost 10 inf + 2676 * * [misc]simplify: Extracting #7: cost 2 inf + 6220 * * [misc]simplify: Extracting #8: cost 0 inf + 7506 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1354 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 44 * * [misc]simplify: Extracting #7: cost 18 inf + 207 * * [misc]simplify: Extracting #8: cost 10 inf + 2225 * * [misc]simplify: Extracting #9: cost 0 inf + 6130 * [exit]simplify: Simplified to (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 4488 * * [misc]simplify: Extracting #7: cost 0 inf + 6944 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1355 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 3 * * [misc]simplify: Extracting #7: cost 11 inf + 207 * * [misc]simplify: Extracting #8: cost 5 inf + 1540 * * [misc]simplify: Extracting #9: cost 1 inf + 3030 * * [misc]simplify: Extracting #10: cost 0 inf + 3313 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 412 * * [misc]simplify: Extracting #6: cost 5 inf + 1466 * * [misc]simplify: Extracting #7: cost 1 inf + 3240 * * [misc]simplify: Extracting #8: cost 0 inf + 3764 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1356 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 3 * * [misc]simplify: Extracting #7: cost 10 inf + 207 * * [misc]simplify: Extracting #8: cost 4 inf + 1540 * * [misc]simplify: Extracting #9: cost 2 inf + 2184 * * [misc]simplify: Extracting #10: cost 0 inf + 2910 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 3966 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1357 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 3 * * [misc]simplify: Extracting #7: cost 11 inf + 207 * * [misc]simplify: Extracting #8: cost 5 inf + 1540 * * [misc]simplify: Extracting #9: cost 1 inf + 3030 * * [misc]simplify: Extracting #10: cost 0 inf + 3313 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 412 * * [misc]simplify: Extracting #6: cost 5 inf + 1466 * * [misc]simplify: Extracting #7: cost 1 inf + 3240 * * [misc]simplify: Extracting #8: cost 0 inf + 3764 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1358 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 3 * * [misc]simplify: Extracting #7: cost 10 inf + 207 * * [misc]simplify: Extracting #8: cost 4 inf + 1540 * * [misc]simplify: Extracting #9: cost 1 inf + 2508 * * [misc]simplify: Extracting #10: cost 0 inf + 2910 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 3966 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1359 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 3 * * [misc]simplify: Extracting #7: cost 11 inf + 207 * * [misc]simplify: Extracting #8: cost 5 inf + 1540 * * [misc]simplify: Extracting #9: cost 1 inf + 3030 * * [misc]simplify: Extracting #10: cost 0 inf + 3313 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 412 * * [misc]simplify: Extracting #6: cost 5 inf + 1466 * * [misc]simplify: Extracting #7: cost 1 inf + 3240 * * [misc]simplify: Extracting #8: cost 0 inf + 3764 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1360 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 3 * * [misc]simplify: Extracting #7: cost 10 inf + 207 * * [misc]simplify: Extracting #8: cost 4 inf + 1540 * * [misc]simplify: Extracting #9: cost 2 inf + 2184 * * [misc]simplify: Extracting #10: cost 0 inf + 2910 * [exit]simplify: Simplified to (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 3966 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1361 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 44 * * [misc]simplify: Extracting #7: cost 18 inf + 207 * * [misc]simplify: Extracting #8: cost 13 inf + 1257 * * [misc]simplify: Extracting #9: cost 9 inf + 2587 * * [misc]simplify: Extracting #10: cost 0 inf + 6492 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 4208 * * [misc]simplify: Extracting #7: cost 0 inf + 6582 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1362 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 3 * * [misc]simplify: Extracting #7: cost 10 inf + 369 * * [misc]simplify: Extracting #8: cost 0 inf + 3392 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 578 * * [misc]simplify: Extracting #6: cost 9 inf + 2596 * * [misc]simplify: Extracting #7: cost 5 inf + 4368 * * [misc]simplify: Extracting #8: cost 0 inf + 6984 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1363 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 3 * * [misc]simplify: Extracting #7: cost 8 inf + 207 * * [misc]simplify: Extracting #8: cost 3 inf + 1458 * * [misc]simplify: Extracting #9: cost 0 inf + 2466 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 4088 * * [misc]simplify: Extracting #7: cost 0 inf + 6422 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1364 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 3 * * [misc]simplify: Extracting #7: cost 9 inf + 369 * * [misc]simplify: Extracting #8: cost 5 inf + 1257 * * [misc]simplify: Extracting #9: cost 1 inf + 2508 * * [misc]simplify: Extracting #10: cost 0 inf + 2910 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 4088 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1365 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 1176 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 250 * * [misc]simplify: Extracting #6: cost 5 inf + 1224 * * [misc]simplify: Extracting #7: cost 0 inf + 3362 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1366 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 3 * * [misc]simplify: Extracting #7: cost 9 inf + 369 * * [misc]simplify: Extracting #8: cost 5 inf + 1257 * * [misc]simplify: Extracting #9: cost 1 inf + 2508 * * [misc]simplify: Extracting #10: cost 0 inf + 2910 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 4088 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1367 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 1176 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 250 * * [misc]simplify: Extracting #6: cost 5 inf + 1224 * * [misc]simplify: Extracting #7: cost 0 inf + 3362 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1368 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 3 * * [misc]simplify: Extracting #7: cost 9 inf + 369 * * [misc]simplify: Extracting #8: cost 5 inf + 1257 * * [misc]simplify: Extracting #9: cost 1 inf + 2508 * * [misc]simplify: Extracting #10: cost 0 inf + 2910 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 578 * * [misc]simplify: Extracting #6: cost 5 inf + 4088 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1369 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 1176 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 250 * * [misc]simplify: Extracting #6: cost 5 inf + 1224 * * [misc]simplify: Extracting #7: cost 0 inf + 3362 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1370 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 2 * * [misc]simplify: Extracting #4: cost 18 inf + 4 * * [misc]simplify: Extracting #5: cost 20 inf + 4 * * [misc]simplify: Extracting #6: cost 17 inf + 47 * * [misc]simplify: Extracting #7: cost 15 inf + 210 * * [misc]simplify: Extracting #8: cost 14 inf + 372 * * [misc]simplify: Extracting #9: cost 10 inf + 1302 * * [misc]simplify: Extracting #10: cost 0 inf + 4687 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 14 inf + 46 * * [misc]simplify: Extracting #6: cost 9 inf + 416 * * [misc]simplify: Extracting #7: cost 6 inf + 1062 * * [misc]simplify: Extracting #8: cost 0 inf + 3522 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1371 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 26 inf + 1 * * [misc]simplify: Extracting #3: cost 27 inf + 1 * * [misc]simplify: Extracting #4: cost 29 inf + 1 * * [misc]simplify: Extracting #5: cost 31 inf + 1 * * [misc]simplify: Extracting #6: cost 28 inf + 44 * * [misc]simplify: Extracting #7: cost 26 inf + 207 * * [misc]simplify: Extracting #8: cost 21 inf + 1338 * * [misc]simplify: Extracting #9: cost 5 inf + 7458 * * [misc]simplify: Extracting #10: cost 0 inf + 9871 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2918 * * [misc]simplify: Extracting #7: cost 0 inf + 6702 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1372 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 1 * * [misc]simplify: Extracting #3: cost 28 inf + 1 * * [misc]simplify: Extracting #4: cost 30 inf + 1 * * [misc]simplify: Extracting #5: cost 32 inf + 1 * * [misc]simplify: Extracting #6: cost 29 inf + 44 * * [misc]simplify: Extracting #7: cost 27 inf + 207 * * [misc]simplify: Extracting #8: cost 21 inf + 1540 * * [misc]simplify: Extracting #9: cost 8 inf + 6533 * * [misc]simplify: Extracting #10: cost 0 inf + 10433 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1870 * * [misc]simplify: Extracting #7: cost 3 inf + 5294 * * [misc]simplify: Extracting #8: cost 0 inf + 7144 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1373 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 1 * * [misc]simplify: Extracting #3: cost 25 inf + 1 * * [misc]simplify: Extracting #4: cost 27 inf + 1 * * [misc]simplify: Extracting #5: cost 29 inf + 1 * * [misc]simplify: Extracting #6: cost 26 inf + 44 * * [misc]simplify: Extracting #7: cost 24 inf + 207 * * [misc]simplify: Extracting #8: cost 17 inf + 1944 * * [misc]simplify: Extracting #9: cost 2 inf + 7662 * * [misc]simplify: Extracting #10: cost 0 inf + 8467 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 10 inf + 1668 * * [misc]simplify: Extracting #7: cost 0 inf + 5900 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1374 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 3 * * [misc]simplify: Extracting #7: cost 11 inf + 207 * * [misc]simplify: Extracting #8: cost 5 inf + 1741 * * [misc]simplify: Extracting #9: cost 0 inf + 3554 * [exit]simplify: Simplified to (/ (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 412 * * [misc]simplify: Extracting #5: cost 5 inf + 1870 * * [misc]simplify: Extracting #6: cost 0 inf + 3806 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1375 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 1 * * [misc]simplify: Extracting #3: cost 25 inf + 1 * * [misc]simplify: Extracting #4: cost 27 inf + 1 * * [misc]simplify: Extracting #5: cost 29 inf + 1 * * [misc]simplify: Extracting #6: cost 26 inf + 44 * * [misc]simplify: Extracting #7: cost 24 inf + 207 * * [misc]simplify: Extracting #8: cost 17 inf + 1944 * * [misc]simplify: Extracting #9: cost 2 inf + 7662 * * [misc]simplify: Extracting #10: cost 0 inf + 8467 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 10 inf + 1668 * * [misc]simplify: Extracting #7: cost 0 inf + 5900 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1376 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 3 * * [misc]simplify: Extracting #7: cost 11 inf + 207 * * [misc]simplify: Extracting #8: cost 9 inf + 571 * * [misc]simplify: Extracting #9: cost 1 inf + 3191 * * [misc]simplify: Extracting #10: cost 0 inf + 3554 * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 412 * * [misc]simplify: Extracting #5: cost 5 inf + 1870 * * [misc]simplify: Extracting #6: cost 0 inf + 3806 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1377 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 1 * * [misc]simplify: Extracting #3: cost 25 inf + 1 * * [misc]simplify: Extracting #4: cost 27 inf + 1 * * [misc]simplify: Extracting #5: cost 29 inf + 1 * * [misc]simplify: Extracting #6: cost 26 inf + 44 * * [misc]simplify: Extracting #7: cost 24 inf + 207 * * [misc]simplify: Extracting #8: cost 17 inf + 1944 * * [misc]simplify: Extracting #9: cost 2 inf + 7662 * * [misc]simplify: Extracting #10: cost 0 inf + 8467 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 10 inf + 1668 * * [misc]simplify: Extracting #7: cost 0 inf + 5900 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1378 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 3 * * [misc]simplify: Extracting #7: cost 11 inf + 207 * * [misc]simplify: Extracting #8: cost 10 inf + 369 * * [misc]simplify: Extracting #9: cost 4 inf + 2104 * * [misc]simplify: Extracting #10: cost 0 inf + 3554 * [exit]simplify: Simplified to (/ 1 (* (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 412 * * [misc]simplify: Extracting #5: cost 5 inf + 1870 * * [misc]simplify: Extracting #6: cost 0 inf + 3806 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1379 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 1 * * [misc]simplify: Extracting #3: cost 26 inf + 1 * * [misc]simplify: Extracting #4: cost 28 inf + 1 * * [misc]simplify: Extracting #5: cost 30 inf + 1 * * [misc]simplify: Extracting #6: cost 27 inf + 44 * * [misc]simplify: Extracting #7: cost 25 inf + 207 * * [misc]simplify: Extracting #8: cost 20 inf + 1338 * * [misc]simplify: Extracting #9: cost 6 inf + 6614 * * [misc]simplify: Extracting #10: cost 0 inf + 9468 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 2596 * * [misc]simplify: Extracting #7: cost 0 inf + 6702 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1380 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 1 * * [misc]simplify: Extracting #7: cost 13 inf + 3 * * [misc]simplify: Extracting #8: cost 10 inf + 207 * * [misc]simplify: Extracting #9: cost 6 inf + 1095 * * [misc]simplify: Extracting #10: cost 0 inf + 3111 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 250 * * [misc]simplify: Extracting #6: cost 7 inf + 780 * * [misc]simplify: Extracting #7: cost 2 inf + 2676 * * [misc]simplify: Extracting #8: cost 0 inf + 3482 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1381 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 1 * * [misc]simplify: Extracting #3: cost 21 inf + 1 * * [misc]simplify: Extracting #4: cost 23 inf + 1 * * [misc]simplify: Extracting #5: cost 25 inf + 1 * * [misc]simplify: Extracting #6: cost 22 inf + 44 * * [misc]simplify: Extracting #7: cost 19 inf + 409 * * [misc]simplify: Extracting #8: cost 12 inf + 2024 * * [misc]simplify: Extracting #9: cost 1 inf + 6532 * * [misc]simplify: Extracting #10: cost 0 inf + 7014 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 46 * * [misc]simplify: Extracting #5: cost 18 inf + 416 * * [misc]simplify: Extracting #6: cost 13 inf + 1588 * * [misc]simplify: Extracting #7: cost 8 inf + 3442 * * [misc]simplify: Extracting #8: cost 2 inf + 6260 * * [misc]simplify: Extracting #9: cost 0 inf + 7546 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1382 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 22 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 3 * * [misc]simplify: Extracting #7: cost 17 inf + 207 * * [misc]simplify: Extracting #8: cost 11 inf + 1580 * * [misc]simplify: Extracting #9: cost 0 inf + 5608 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 2476 * * [misc]simplify: Extracting #7: cost 0 inf + 6382 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1383 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 3 * * [misc]simplify: Extracting #7: cost 9 inf + 207 * * [misc]simplify: Extracting #8: cost 4 inf + 1338 * * [misc]simplify: Extracting #9: cost 0 inf + 2708 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 250 * * [misc]simplify: Extracting #5: cost 8 inf + 1022 * * [misc]simplify: Extracting #6: cost 2 inf + 3322 * * [misc]simplify: Extracting #7: cost 0 inf + 4128 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1384 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 22 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 3 * * [misc]simplify: Extracting #7: cost 17 inf + 207 * * [misc]simplify: Extracting #8: cost 11 inf + 1580 * * [misc]simplify: Extracting #9: cost 0 inf + 5608 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 2476 * * [misc]simplify: Extracting #7: cost 0 inf + 6382 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1385 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 3 * * [misc]simplify: Extracting #7: cost 9 inf + 207 * * [misc]simplify: Extracting #8: cost 5 inf + 1095 * * [misc]simplify: Extracting #9: cost 0 inf + 2708 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 250 * * [misc]simplify: Extracting #5: cost 8 inf + 1022 * * [misc]simplify: Extracting #6: cost 2 inf + 3322 * * [misc]simplify: Extracting #7: cost 0 inf + 4128 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1386 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 22 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 3 * * [misc]simplify: Extracting #7: cost 17 inf + 207 * * [misc]simplify: Extracting #8: cost 11 inf + 1580 * * [misc]simplify: Extracting #9: cost 0 inf + 5608 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 2476 * * [misc]simplify: Extracting #7: cost 0 inf + 6382 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1387 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 3 * * [misc]simplify: Extracting #7: cost 9 inf + 207 * * [misc]simplify: Extracting #8: cost 3 inf + 1741 * * [misc]simplify: Extracting #9: cost 0 inf + 2708 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 250 * * [misc]simplify: Extracting #5: cost 8 inf + 1022 * * [misc]simplify: Extracting #6: cost 2 inf + 3322 * * [misc]simplify: Extracting #7: cost 0 inf + 4128 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1388 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 1 * * [misc]simplify: Extracting #3: cost 27 inf + 1 * * [misc]simplify: Extracting #4: cost 29 inf + 1 * * [misc]simplify: Extracting #5: cost 31 inf + 1 * * [misc]simplify: Extracting #6: cost 28 inf + 44 * * [misc]simplify: Extracting #7: cost 26 inf + 207 * * [misc]simplify: Extracting #8: cost 18 inf + 2225 * * [misc]simplify: Extracting #9: cost 4 inf + 8101 * * [misc]simplify: Extracting #10: cost 0 inf + 10030 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 618 * * [misc]simplify: Extracting #6: cost 5 inf + 4608 * * [misc]simplify: Extracting #7: cost 0 inf + 7144 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1389 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 1 * * [misc]simplify: Extracting #3: cost 21 inf + 1 * * [misc]simplify: Extracting #4: cost 23 inf + 1 * * [misc]simplify: Extracting #5: cost 25 inf + 1 * * [misc]simplify: Extracting #6: cost 22 inf + 44 * * [misc]simplify: Extracting #7: cost 19 inf + 409 * * [misc]simplify: Extracting #8: cost 7 inf + 3756 * * [misc]simplify: Extracting #9: cost 0 inf + 7014 * [exit]simplify: Simplified to (/ (/ 1 (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 46 * * [misc]simplify: Extracting #5: cost 17 inf + 618 * * [misc]simplify: Extracting #6: cost 10 inf + 2676 * * [misc]simplify: Extracting #7: cost 2 inf + 6260 * * [misc]simplify: Extracting #8: cost 0 inf + 7546 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1390 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 3 * * [misc]simplify: Extracting #7: cost 9 inf + 651 * * [misc]simplify: Extracting #8: cost 5 inf + 1539 * * [misc]simplify: Extracting #9: cost 0 inf + 3353 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 452 * * [misc]simplify: Extracting #6: cost 5 inf + 1506 * * [misc]simplify: Extracting #7: cost 1 inf + 3280 * * [misc]simplify: Extracting #8: cost 0 inf + 3804 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1391 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 44 * * [misc]simplify: Extracting #7: cost 17 inf + 409 * * [misc]simplify: Extracting #8: cost 10 inf + 2225 * * [misc]simplify: Extracting #9: cost 0 inf + 6010 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 618 * * [misc]simplify: Extracting #6: cost 5 inf + 4448 * * [misc]simplify: Extracting #7: cost 0 inf + 6824 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1392 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 3 * * [misc]simplify: Extracting #7: cost 8 inf + 651 * * [misc]simplify: Extracting #8: cost 5 inf + 1337 * * [misc]simplify: Extracting #9: cost 0 inf + 2950 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 572 * * [misc]simplify: Extracting #5: cost 8 inf + 1382 * * [misc]simplify: Extracting #6: cost 1 inf + 3966 * * [misc]simplify: Extracting #7: cost 0 inf + 4490 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1393 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 44 * * [misc]simplify: Extracting #7: cost 17 inf + 409 * * [misc]simplify: Extracting #8: cost 10 inf + 2225 * * [misc]simplify: Extracting #9: cost 0 inf + 6010 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 618 * * [misc]simplify: Extracting #6: cost 5 inf + 4448 * * [misc]simplify: Extracting #7: cost 0 inf + 6824 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1394 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 3 * * [misc]simplify: Extracting #7: cost 8 inf + 651 * * [misc]simplify: Extracting #8: cost 1 inf + 2548 * * [misc]simplify: Extracting #9: cost 0 inf + 2950 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 572 * * [misc]simplify: Extracting #5: cost 8 inf + 1382 * * [misc]simplify: Extracting #6: cost 1 inf + 3966 * * [misc]simplify: Extracting #7: cost 0 inf + 4490 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1395 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 44 * * [misc]simplify: Extracting #7: cost 17 inf + 409 * * [misc]simplify: Extracting #8: cost 10 inf + 2225 * * [misc]simplify: Extracting #9: cost 0 inf + 6010 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 618 * * [misc]simplify: Extracting #6: cost 5 inf + 4448 * * [misc]simplify: Extracting #7: cost 0 inf + 6824 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1396 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 3 * * [misc]simplify: Extracting #7: cost 8 inf + 651 * * [misc]simplify: Extracting #8: cost 5 inf + 1337 * * [misc]simplify: Extracting #9: cost 0 inf + 2950 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 572 * * [misc]simplify: Extracting #5: cost 8 inf + 1382 * * [misc]simplify: Extracting #6: cost 1 inf + 3966 * * [misc]simplify: Extracting #7: cost 0 inf + 4490 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1397 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 23 inf + 1 * * [misc]simplify: Extracting #3: cost 24 inf + 1 * * [misc]simplify: Extracting #4: cost 26 inf + 1 * * [misc]simplify: Extracting #5: cost 28 inf + 1 * * [misc]simplify: Extracting #6: cost 25 inf + 44 * * [misc]simplify: Extracting #7: cost 23 inf + 207 * * [misc]simplify: Extracting #8: cost 14 inf + 2668 * * [misc]simplify: Extracting #9: cost 1 inf + 7622 * * [misc]simplify: Extracting #10: cost 0 inf + 8064 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 10 inf + 1668 * * [misc]simplify: Extracting #7: cost 0 inf + 5900 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1398 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 22 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 3 * * [misc]simplify: Extracting #7: cost 17 inf + 207 * * [misc]simplify: Extracting #8: cost 12 inf + 1337 * * [misc]simplify: Extracting #9: cost 0 inf + 5608 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2878 * * [misc]simplify: Extracting #7: cost 0 inf + 6382 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1399 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 44 * * [misc]simplify: Extracting #7: cost 18 inf + 207 * * [misc]simplify: Extracting #8: cost 11 inf + 1742 * * [misc]simplify: Extracting #9: cost 1 inf + 5527 * * [misc]simplify: Extracting #10: cost 0 inf + 6010 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1830 * * [misc]simplify: Extracting #7: cost 3 inf + 5094 * * [misc]simplify: Extracting #8: cost 0 inf + 6824 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1400 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 2 * * [misc]simplify: Extracting #5: cost 13 inf + 2 * * [misc]simplify: Extracting #6: cost 11 inf + 4 * * [misc]simplify: Extracting #7: cost 8 inf + 208 * * [misc]simplify: Extracting #8: cost 5 inf + 814 * * [misc]simplify: Extracting #9: cost 0 inf + 2228 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 5 inf + 1023 * * [misc]simplify: Extracting #7: cost 0 inf + 2921 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1401 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 207 * * [misc]simplify: Extracting #8: cost 5 inf + 571 * * [misc]simplify: Extracting #9: cost 2 inf + 1379 * * [misc]simplify: Extracting #10: cost 0 inf + 1944 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 412 * * [misc]simplify: Extracting #5: cost 5 inf + 1790 * * [misc]simplify: Extracting #6: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1402 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 2 * * [misc]simplify: Extracting #5: cost 13 inf + 2 * * [misc]simplify: Extracting #6: cost 11 inf + 4 * * [misc]simplify: Extracting #7: cost 8 inf + 208 * * [misc]simplify: Extracting #8: cost 5 inf + 814 * * [misc]simplify: Extracting #9: cost 0 inf + 2228 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 5 inf + 1023 * * [misc]simplify: Extracting #7: cost 0 inf + 2921 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1403 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 207 * * [misc]simplify: Extracting #8: cost 4 inf + 814 * * [misc]simplify: Extracting #9: cost 0 inf + 1944 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 412 * * [misc]simplify: Extracting #5: cost 5 inf + 1790 * * [misc]simplify: Extracting #6: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1404 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 2 * * [misc]simplify: Extracting #5: cost 13 inf + 2 * * [misc]simplify: Extracting #6: cost 11 inf + 4 * * [misc]simplify: Extracting #7: cost 8 inf + 208 * * [misc]simplify: Extracting #8: cost 5 inf + 814 * * [misc]simplify: Extracting #9: cost 0 inf + 2228 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 5 inf + 1023 * * [misc]simplify: Extracting #7: cost 0 inf + 2921 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1405 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 207 * * [misc]simplify: Extracting #8: cost 5 inf + 571 * * [misc]simplify: Extracting #9: cost 2 inf + 1379 * * [misc]simplify: Extracting #10: cost 0 inf + 1944 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 412 * * [misc]simplify: Extracting #5: cost 5 inf + 1790 * * [misc]simplify: Extracting #6: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1406 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 1 * * [misc]simplify: Extracting #7: cost 12 inf + 3 * * [misc]simplify: Extracting #8: cost 9 inf + 207 * * [misc]simplify: Extracting #9: cost 8 inf + 369 * * [misc]simplify: Extracting #10: cost 4 inf + 1418 * * [misc]simplify: Extracting #11: cost 0 inf + 2829 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 250 * * [misc]simplify: Extracting #5: cost 7 inf + 1104 * * [misc]simplify: Extracting #6: cost 1 inf + 3362 * * [misc]simplify: Extracting #7: cost 0 inf + 3806 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1407 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 1 * * [misc]simplify: Extracting #7: cost 10 inf + 3 * * [misc]simplify: Extracting #8: cost 7 inf + 207 * * [misc]simplify: Extracting #9: cost 3 inf + 1175 * * [misc]simplify: Extracting #10: cost 0 inf + 2023 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 208 * * [misc]simplify: Extracting #5: cost 8 inf + 1180 * * [misc]simplify: Extracting #6: cost 0 inf + 4208 * * [misc]simplify: Extracting #7: cost 0 inf + 4128 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1408 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 1 * * [misc]simplify: Extracting #7: cost 11 inf + 3 * * [misc]simplify: Extracting #8: cost 8 inf + 207 * * [misc]simplify: Extracting #9: cost 1 inf + 1782 * * [misc]simplify: Extracting #10: cost 0 inf + 2225 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 45 * * [misc]simplify: Extracting #5: cost 13 inf + 292 * * [misc]simplify: Extracting #6: cost 7 inf + 1548 * * [misc]simplify: Extracting #7: cost 2 inf + 3522 * * [misc]simplify: Extracting #8: cost 0 inf + 4490 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1409 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 6 inf + 85 * * [misc]simplify: Extracting #8: cost 4 inf + 369 * * [misc]simplify: Extracting #9: cost 0 inf + 1379 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 250 * * [misc]simplify: Extracting #5: cost 7 inf + 1104 * * [misc]simplify: Extracting #6: cost 1 inf + 3162 * * [misc]simplify: Extracting #7: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1410 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 6 inf + 3 * * [misc]simplify: Extracting #7: cost 2 inf + 369 * * [misc]simplify: Extracting #8: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 6 inf + 412 * * [misc]simplify: Extracting #6: cost 2 inf + 1104 * * [misc]simplify: Extracting #7: cost 0 inf + 1872 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1411 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 6 inf + 85 * * [misc]simplify: Extracting #8: cost 4 inf + 369 * * [misc]simplify: Extracting #9: cost 0 inf + 1379 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 250 * * [misc]simplify: Extracting #5: cost 7 inf + 1104 * * [misc]simplify: Extracting #6: cost 1 inf + 3162 * * [misc]simplify: Extracting #7: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1412 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 6 inf + 3 * * [misc]simplify: Extracting #7: cost 2 inf + 369 * * [misc]simplify: Extracting #8: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 6 inf + 412 * * [misc]simplify: Extracting #6: cost 2 inf + 1104 * * [misc]simplify: Extracting #7: cost 0 inf + 1872 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1413 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 6 inf + 85 * * [misc]simplify: Extracting #8: cost 4 inf + 369 * * [misc]simplify: Extracting #9: cost 0 inf + 1379 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 250 * * [misc]simplify: Extracting #5: cost 7 inf + 1104 * * [misc]simplify: Extracting #6: cost 1 inf + 3162 * * [misc]simplify: Extracting #7: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1414 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 6 inf + 3 * * [misc]simplify: Extracting #7: cost 2 inf + 369 * * [misc]simplify: Extracting #8: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 6 inf + 412 * * [misc]simplify: Extracting #6: cost 2 inf + 1104 * * [misc]simplify: Extracting #7: cost 0 inf + 1872 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1415 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 23 inf + 1 * * [misc]simplify: Extracting #3: cost 24 inf + 1 * * [misc]simplify: Extracting #4: cost 26 inf + 1 * * [misc]simplify: Extracting #5: cost 28 inf + 1 * * [misc]simplify: Extracting #6: cost 25 inf + 44 * * [misc]simplify: Extracting #7: cost 23 inf + 207 * * [misc]simplify: Extracting #8: cost 14 inf + 2668 * * [misc]simplify: Extracting #9: cost 1 inf + 7622 * * [misc]simplify: Extracting #10: cost 0 inf + 8064 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 10 inf + 1668 * * [misc]simplify: Extracting #7: cost 0 inf + 5900 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1416 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 22 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 3 * * [misc]simplify: Extracting #7: cost 17 inf + 207 * * [misc]simplify: Extracting #8: cost 12 inf + 1337 * * [misc]simplify: Extracting #9: cost 0 inf + 5608 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2878 * * [misc]simplify: Extracting #7: cost 0 inf + 6382 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1417 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 44 * * [misc]simplify: Extracting #7: cost 18 inf + 207 * * [misc]simplify: Extracting #8: cost 11 inf + 1742 * * [misc]simplify: Extracting #9: cost 1 inf + 5527 * * [misc]simplify: Extracting #10: cost 0 inf + 6010 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1830 * * [misc]simplify: Extracting #7: cost 3 inf + 5094 * * [misc]simplify: Extracting #8: cost 0 inf + 6824 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1418 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 2 * * [misc]simplify: Extracting #5: cost 13 inf + 2 * * [misc]simplify: Extracting #6: cost 11 inf + 4 * * [misc]simplify: Extracting #7: cost 8 inf + 208 * * [misc]simplify: Extracting #8: cost 5 inf + 814 * * [misc]simplify: Extracting #9: cost 0 inf + 2228 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 5 inf + 1023 * * [misc]simplify: Extracting #7: cost 0 inf + 2921 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1419 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 207 * * [misc]simplify: Extracting #8: cost 5 inf + 571 * * [misc]simplify: Extracting #9: cost 2 inf + 1379 * * [misc]simplify: Extracting #10: cost 0 inf + 1944 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 412 * * [misc]simplify: Extracting #5: cost 5 inf + 1790 * * [misc]simplify: Extracting #6: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1420 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 2 * * [misc]simplify: Extracting #5: cost 13 inf + 2 * * [misc]simplify: Extracting #6: cost 11 inf + 4 * * [misc]simplify: Extracting #7: cost 8 inf + 208 * * [misc]simplify: Extracting #8: cost 5 inf + 814 * * [misc]simplify: Extracting #9: cost 0 inf + 2228 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 5 inf + 1023 * * [misc]simplify: Extracting #7: cost 0 inf + 2921 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1421 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 207 * * [misc]simplify: Extracting #8: cost 4 inf + 814 * * [misc]simplify: Extracting #9: cost 0 inf + 1944 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 412 * * [misc]simplify: Extracting #5: cost 5 inf + 1790 * * [misc]simplify: Extracting #6: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1422 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 2 * * [misc]simplify: Extracting #5: cost 13 inf + 2 * * [misc]simplify: Extracting #6: cost 11 inf + 4 * * [misc]simplify: Extracting #7: cost 8 inf + 208 * * [misc]simplify: Extracting #8: cost 5 inf + 814 * * [misc]simplify: Extracting #9: cost 0 inf + 2228 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 5 inf + 1023 * * [misc]simplify: Extracting #7: cost 0 inf + 2921 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1423 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 207 * * [misc]simplify: Extracting #8: cost 5 inf + 571 * * [misc]simplify: Extracting #9: cost 2 inf + 1379 * * [misc]simplify: Extracting #10: cost 0 inf + 1944 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 412 * * [misc]simplify: Extracting #5: cost 5 inf + 1790 * * [misc]simplify: Extracting #6: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1424 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 1 * * [misc]simplify: Extracting #7: cost 12 inf + 3 * * [misc]simplify: Extracting #8: cost 9 inf + 207 * * [misc]simplify: Extracting #9: cost 7 inf + 571 * * [misc]simplify: Extracting #10: cost 1 inf + 2507 * * [misc]simplify: Extracting #11: cost 0 inf + 2829 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 250 * * [misc]simplify: Extracting #5: cost 7 inf + 1104 * * [misc]simplify: Extracting #6: cost 1 inf + 3362 * * [misc]simplify: Extracting #7: cost 0 inf + 3806 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1425 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 1 * * [misc]simplify: Extracting #7: cost 10 inf + 3 * * [misc]simplify: Extracting #8: cost 7 inf + 207 * * [misc]simplify: Extracting #9: cost 3 inf + 1095 * * [misc]simplify: Extracting #10: cost 0 inf + 2023 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 208 * * [misc]simplify: Extracting #5: cost 8 inf + 1180 * * [misc]simplify: Extracting #6: cost 0 inf + 4208 * * [misc]simplify: Extracting #7: cost 0 inf + 4128 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1426 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 1 * * [misc]simplify: Extracting #7: cost 11 inf + 3 * * [misc]simplify: Extracting #8: cost 6 inf + 651 * * [misc]simplify: Extracting #9: cost 3 inf + 1337 * * [misc]simplify: Extracting #10: cost 0 inf + 2225 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 45 * * [misc]simplify: Extracting #5: cost 13 inf + 292 * * [misc]simplify: Extracting #6: cost 7 inf + 1548 * * [misc]simplify: Extracting #7: cost 2 inf + 3522 * * [misc]simplify: Extracting #8: cost 0 inf + 4490 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1427 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 8 inf + 3 * * [misc]simplify: Extracting #8: cost 3 inf + 571 * * [misc]simplify: Extracting #9: cost 0 inf + 1379 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 250 * * [misc]simplify: Extracting #5: cost 7 inf + 1104 * * [misc]simplify: Extracting #6: cost 1 inf + 3162 * * [misc]simplify: Extracting #7: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1428 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 1 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 6 inf + 412 * * [misc]simplify: Extracting #6: cost 2 inf + 1104 * * [misc]simplify: Extracting #7: cost 0 inf + 1872 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1429 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 8 inf + 3 * * [misc]simplify: Extracting #8: cost 3 inf + 571 * * [misc]simplify: Extracting #9: cost 0 inf + 1379 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 250 * * [misc]simplify: Extracting #5: cost 7 inf + 1104 * * [misc]simplify: Extracting #6: cost 1 inf + 3162 * * [misc]simplify: Extracting #7: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1430 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 1 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 6 inf + 412 * * [misc]simplify: Extracting #6: cost 2 inf + 1104 * * [misc]simplify: Extracting #7: cost 0 inf + 1872 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1431 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 8 inf + 3 * * [misc]simplify: Extracting #8: cost 3 inf + 571 * * [misc]simplify: Extracting #9: cost 0 inf + 1379 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 250 * * [misc]simplify: Extracting #5: cost 7 inf + 1104 * * [misc]simplify: Extracting #6: cost 1 inf + 3162 * * [misc]simplify: Extracting #7: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1432 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 1 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 6 inf + 412 * * [misc]simplify: Extracting #6: cost 2 inf + 1104 * * [misc]simplify: Extracting #7: cost 0 inf + 1872 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1433 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 23 inf + 1 * * [misc]simplify: Extracting #3: cost 24 inf + 1 * * [misc]simplify: Extracting #4: cost 26 inf + 1 * * [misc]simplify: Extracting #5: cost 28 inf + 1 * * [misc]simplify: Extracting #6: cost 25 inf + 44 * * [misc]simplify: Extracting #7: cost 23 inf + 207 * * [misc]simplify: Extracting #8: cost 14 inf + 2668 * * [misc]simplify: Extracting #9: cost 1 inf + 7622 * * [misc]simplify: Extracting #10: cost 0 inf + 8064 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 10 inf + 1668 * * [misc]simplify: Extracting #7: cost 0 inf + 5900 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1434 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 22 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 3 * * [misc]simplify: Extracting #7: cost 17 inf + 207 * * [misc]simplify: Extracting #8: cost 12 inf + 1337 * * [misc]simplify: Extracting #9: cost 0 inf + 5608 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2878 * * [misc]simplify: Extracting #7: cost 0 inf + 6382 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1435 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 44 * * [misc]simplify: Extracting #7: cost 18 inf + 207 * * [misc]simplify: Extracting #8: cost 11 inf + 1742 * * [misc]simplify: Extracting #9: cost 1 inf + 5527 * * [misc]simplify: Extracting #10: cost 0 inf + 6010 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1830 * * [misc]simplify: Extracting #7: cost 3 inf + 5094 * * [misc]simplify: Extracting #8: cost 0 inf + 6824 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1436 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 2 * * [misc]simplify: Extracting #5: cost 13 inf + 2 * * [misc]simplify: Extracting #6: cost 11 inf + 4 * * [misc]simplify: Extracting #7: cost 8 inf + 208 * * [misc]simplify: Extracting #8: cost 5 inf + 814 * * [misc]simplify: Extracting #9: cost 0 inf + 2228 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 5 inf + 1023 * * [misc]simplify: Extracting #7: cost 0 inf + 2921 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1437 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 207 * * [misc]simplify: Extracting #8: cost 5 inf + 571 * * [misc]simplify: Extracting #9: cost 2 inf + 1379 * * [misc]simplify: Extracting #10: cost 0 inf + 1944 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 412 * * [misc]simplify: Extracting #5: cost 5 inf + 1790 * * [misc]simplify: Extracting #6: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1438 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 2 * * [misc]simplify: Extracting #5: cost 13 inf + 2 * * [misc]simplify: Extracting #6: cost 11 inf + 4 * * [misc]simplify: Extracting #7: cost 8 inf + 208 * * [misc]simplify: Extracting #8: cost 5 inf + 814 * * [misc]simplify: Extracting #9: cost 0 inf + 2228 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 5 inf + 1023 * * [misc]simplify: Extracting #7: cost 0 inf + 2921 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1439 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 207 * * [misc]simplify: Extracting #8: cost 4 inf + 814 * * [misc]simplify: Extracting #9: cost 0 inf + 1944 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 412 * * [misc]simplify: Extracting #5: cost 5 inf + 1790 * * [misc]simplify: Extracting #6: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1440 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 2 * * [misc]simplify: Extracting #5: cost 13 inf + 2 * * [misc]simplify: Extracting #6: cost 11 inf + 4 * * [misc]simplify: Extracting #7: cost 8 inf + 208 * * [misc]simplify: Extracting #8: cost 5 inf + 814 * * [misc]simplify: Extracting #9: cost 0 inf + 2228 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 5 inf + 1023 * * [misc]simplify: Extracting #7: cost 0 inf + 2921 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1441 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 207 * * [misc]simplify: Extracting #8: cost 5 inf + 571 * * [misc]simplify: Extracting #9: cost 2 inf + 1379 * * [misc]simplify: Extracting #10: cost 0 inf + 1944 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 412 * * [misc]simplify: Extracting #5: cost 5 inf + 1790 * * [misc]simplify: Extracting #6: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1442 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 3 * * [misc]simplify: Extracting #7: cost 11 inf + 207 * * [misc]simplify: Extracting #8: cost 10 inf + 369 * * [misc]simplify: Extracting #9: cost 4 inf + 2104 * * [misc]simplify: Extracting #10: cost 0 inf + 3554 * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 250 * * [misc]simplify: Extracting #5: cost 7 inf + 1104 * * [misc]simplify: Extracting #6: cost 1 inf + 3362 * * [misc]simplify: Extracting #7: cost 0 inf + 3806 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1443 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 3 * * [misc]simplify: Extracting #7: cost 9 inf + 207 * * [misc]simplify: Extracting #8: cost 4 inf + 1498 * * [misc]simplify: Extracting #9: cost 0 inf + 2708 * [exit]simplify: Simplified to (/ 1 (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 208 * * [misc]simplify: Extracting #5: cost 8 inf + 1180 * * [misc]simplify: Extracting #6: cost 0 inf + 4208 * * [misc]simplify: Extracting #7: cost 0 inf + 4128 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1444 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 3 * * [misc]simplify: Extracting #7: cost 10 inf + 207 * * [misc]simplify: Extracting #8: cost 1 inf + 2507 * * [misc]simplify: Extracting #9: cost 0 inf + 2950 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 45 * * [misc]simplify: Extracting #5: cost 13 inf + 292 * * [misc]simplify: Extracting #6: cost 7 inf + 1548 * * [misc]simplify: Extracting #7: cost 2 inf + 3522 * * [misc]simplify: Extracting #8: cost 0 inf + 4490 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1445 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 207 * * [misc]simplify: Extracting #8: cost 0 inf + 1944 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 250 * * [misc]simplify: Extracting #5: cost 7 inf + 1104 * * [misc]simplify: Extracting #6: cost 1 inf + 3162 * * [misc]simplify: Extracting #7: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1446 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 6 inf + 3 * * [misc]simplify: Extracting #7: cost 2 inf + 369 * * [misc]simplify: Extracting #8: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 6 inf + 412 * * [misc]simplify: Extracting #6: cost 2 inf + 1104 * * [misc]simplify: Extracting #7: cost 0 inf + 1872 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1447 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 207 * * [misc]simplify: Extracting #8: cost 0 inf + 1944 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 250 * * [misc]simplify: Extracting #5: cost 7 inf + 1104 * * [misc]simplify: Extracting #6: cost 1 inf + 3162 * * [misc]simplify: Extracting #7: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1448 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 1 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 6 inf + 412 * * [misc]simplify: Extracting #6: cost 2 inf + 1104 * * [misc]simplify: Extracting #7: cost 0 inf + 1872 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1449 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 207 * * [misc]simplify: Extracting #8: cost 0 inf + 1944 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 250 * * [misc]simplify: Extracting #5: cost 7 inf + 1104 * * [misc]simplify: Extracting #6: cost 1 inf + 3162 * * [misc]simplify: Extracting #7: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1450 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 1) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 1 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 6 inf + 412 * * [misc]simplify: Extracting #6: cost 2 inf + 1104 * * [misc]simplify: Extracting #7: cost 0 inf + 1872 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1451 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 2 * * [misc]simplify: Extracting #4: cost 11 inf + 3 * * [misc]simplify: Extracting #5: cost 13 inf + 3 * * [misc]simplify: Extracting #6: cost 15 inf + 3 * * [misc]simplify: Extracting #7: cost 13 inf + 5 * * [misc]simplify: Extracting #8: cost 11 inf + 87 * * [misc]simplify: Extracting #9: cost 2 inf + 2428 * * [misc]simplify: Extracting #10: cost 0 inf + 3114 * [exit]simplify: Simplified to (/ 1 (* (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 250 * * [misc]simplify: Extracting #6: cost 5 inf + 1386 * * [misc]simplify: Extracting #7: cost 0 inf + 3482 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1452 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 18 inf + 1 * * [misc]simplify: Extracting #7: cost 16 inf + 3 * * [misc]simplify: Extracting #8: cost 13 inf + 207 * * [misc]simplify: Extracting #9: cost 9 inf + 1095 * * [misc]simplify: Extracting #10: cost 4 inf + 2786 * * [misc]simplify: Extracting #11: cost 0 inf + 4437 * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2716 * * [misc]simplify: Extracting #7: cost 0 inf + 6582 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1453 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 1 * * [misc]simplify: Extracting #6: cost 19 inf + 1 * * [misc]simplify: Extracting #7: cost 17 inf + 3 * * [misc]simplify: Extracting #8: cost 12 inf + 651 * * [misc]simplify: Extracting #9: cost 6 inf + 2144 * * [misc]simplify: Extracting #10: cost 2 inf + 3634 * * [misc]simplify: Extracting #11: cost 0 inf + 4719 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 87 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1830 * * [misc]simplify: Extracting #7: cost 3 inf + 5374 * * [misc]simplify: Extracting #8: cost 0 inf + 7024 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1454 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 1 * * [misc]simplify: Extracting #7: cost 15 inf + 3 * * [misc]simplify: Extracting #8: cost 12 inf + 207 * * [misc]simplify: Extracting #9: cost 9 inf + 853 * * [misc]simplify: Extracting #10: cost 1 inf + 3514 * * [misc]simplify: Extracting #11: cost 0 inf + 3916 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1386 * * [misc]simplify: Extracting #7: cost 6 inf + 3442 * * [misc]simplify: Extracting #8: cost 0 inf + 5860 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1455 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 1 * * [misc]simplify: Extracting #7: cost 8 inf + 44 * * [misc]simplify: Extracting #8: cost 5 inf + 369 * * [misc]simplify: Extracting #9: cost 4 inf + 571 * * [misc]simplify: Extracting #10: cost 3 inf + 853 * * [misc]simplify: Extracting #11: cost 0 inf + 1861 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 1 inf + 4976 * * [misc]simplify: Extracting #8: cost 0 inf + 5338 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1456 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 1 * * [misc]simplify: Extracting #7: cost 15 inf + 3 * * [misc]simplify: Extracting #8: cost 12 inf + 207 * * [misc]simplify: Extracting #9: cost 9 inf + 853 * * [misc]simplify: Extracting #10: cost 1 inf + 3514 * * [misc]simplify: Extracting #11: cost 0 inf + 3916 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1386 * * [misc]simplify: Extracting #7: cost 6 inf + 3442 * * [misc]simplify: Extracting #8: cost 0 inf + 5860 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1457 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 1 * * [misc]simplify: Extracting #7: cost 8 inf + 44 * * [misc]simplify: Extracting #8: cost 6 inf + 207 * * [misc]simplify: Extracting #9: cost 4 inf + 571 * * [misc]simplify: Extracting #10: cost 2 inf + 1176 * * [misc]simplify: Extracting #11: cost 0 inf + 1861 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 1 inf + 4976 * * [misc]simplify: Extracting #8: cost 0 inf + 5338 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1458 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 1 * * [misc]simplify: Extracting #7: cost 15 inf + 3 * * [misc]simplify: Extracting #8: cost 12 inf + 207 * * [misc]simplify: Extracting #9: cost 9 inf + 853 * * [misc]simplify: Extracting #10: cost 1 inf + 3514 * * [misc]simplify: Extracting #11: cost 0 inf + 3916 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1386 * * [misc]simplify: Extracting #7: cost 6 inf + 3442 * * [misc]simplify: Extracting #8: cost 0 inf + 5860 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1459 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 1 * * [misc]simplify: Extracting #7: cost 8 inf + 44 * * [misc]simplify: Extracting #8: cost 6 inf + 207 * * [misc]simplify: Extracting #9: cost 4 inf + 571 * * [misc]simplify: Extracting #10: cost 2 inf + 1176 * * [misc]simplify: Extracting #11: cost 0 inf + 1861 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 1 inf + 4976 * * [misc]simplify: Extracting #8: cost 0 inf + 5338 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1460 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 1 * * [misc]simplify: Extracting #6: cost 19 inf + 1 * * [misc]simplify: Extracting #7: cost 17 inf + 3 * * [misc]simplify: Extracting #8: cost 14 inf + 207 * * [misc]simplify: Extracting #9: cost 10 inf + 1095 * * [misc]simplify: Extracting #10: cost 0 inf + 4920 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2716 * * [misc]simplify: Extracting #7: cost 0 inf + 6582 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1461 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 1 * * [misc]simplify: Extracting #7: cost 10 inf + 3 * * [misc]simplify: Extracting #8: cost 7 inf + 207 * * [misc]simplify: Extracting #9: cost 4 inf + 893 * * [misc]simplify: Extracting #10: cost 0 inf + 2144 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 3 inf + 1870 * * [misc]simplify: Extracting #7: cost 0 inf + 3120 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1462 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 1 * * [misc]simplify: Extracting #7: cost 15 inf + 3 * * [misc]simplify: Extracting #8: cost 12 inf + 207 * * [misc]simplify: Extracting #9: cost 7 inf + 1337 * * [misc]simplify: Extracting #10: cost 1 inf + 3271 * * [misc]simplify: Extracting #11: cost 0 inf + 3794 * [exit]simplify: Simplified to (/ 1 (* (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 87 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1870 * * [misc]simplify: Extracting #7: cost 3 inf + 5414 * * [misc]simplify: Extracting #8: cost 0 inf + 7064 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1463 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 1 * * [misc]simplify: Extracting #7: cost 13 inf + 3 * * [misc]simplify: Extracting #8: cost 10 inf + 207 * * [misc]simplify: Extracting #9: cost 6 inf + 1095 * * [misc]simplify: Extracting #10: cost 2 inf + 2385 * * [misc]simplify: Extracting #11: cost 0 inf + 3070 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2596 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1464 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 10 inf + 1628 * * [misc]simplify: Extracting #7: cost 0 inf + 5740 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1465 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 1 * * [misc]simplify: Extracting #7: cost 13 inf + 3 * * [misc]simplify: Extracting #8: cost 10 inf + 207 * * [misc]simplify: Extracting #9: cost 6 inf + 1095 * * [misc]simplify: Extracting #10: cost 2 inf + 2385 * * [misc]simplify: Extracting #11: cost 0 inf + 3070 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2596 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1466 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 10 inf + 1628 * * [misc]simplify: Extracting #7: cost 0 inf + 5740 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1467 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 1 * * [misc]simplify: Extracting #7: cost 13 inf + 3 * * [misc]simplify: Extracting #8: cost 10 inf + 207 * * [misc]simplify: Extracting #9: cost 6 inf + 1095 * * [misc]simplify: Extracting #10: cost 2 inf + 2385 * * [misc]simplify: Extracting #11: cost 0 inf + 3070 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2596 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1468 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 10 inf + 1628 * * [misc]simplify: Extracting #7: cost 0 inf + 5740 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1469 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 1 * * [misc]simplify: Extracting #7: cost 18 inf + 3 * * [misc]simplify: Extracting #8: cost 14 inf + 369 * * [misc]simplify: Extracting #9: cost 9 inf + 1539 * * [misc]simplify: Extracting #10: cost 3 inf + 3634 * * [misc]simplify: Extracting #11: cost 0 inf + 5242 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 87 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 12 inf + 1548 * * [misc]simplify: Extracting #7: cost 4 inf + 5052 * * [misc]simplify: Extracting #8: cost 0 inf + 7024 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1470 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 1 * * [misc]simplify: Extracting #7: cost 15 inf + 3 * * [misc]simplify: Extracting #8: cost 11 inf + 369 * * [misc]simplify: Extracting #9: cost 4 inf + 2143 * * [misc]simplify: Extracting #10: cost 1 inf + 3271 * * [misc]simplify: Extracting #11: cost 0 inf + 3794 * [exit]simplify: Simplified to (/ 1 (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 87 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 12 inf + 1588 * * [misc]simplify: Extracting #7: cost 4 inf + 5092 * * [misc]simplify: Extracting #8: cost 0 inf + 7064 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1471 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 1 * * [misc]simplify: Extracting #6: cost 2 inf + 1176 * * [misc]simplify: Extracting #7: cost 0 inf + 1781 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 250 * * [misc]simplify: Extracting #6: cost 6 inf + 1104 * * [misc]simplify: Extracting #7: cost 2 inf + 2636 * * [misc]simplify: Extracting #8: cost 0 inf + 3442 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1472 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 1 * * [misc]simplify: Extracting #7: cost 14 inf + 3 * * [misc]simplify: Extracting #8: cost 10 inf + 369 * * [misc]simplify: Extracting #9: cost 3 inf + 2223 * * [misc]simplify: Extracting #10: cost 0 inf + 3312 * [exit]simplify: Simplified to (/ 1 (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 87 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 12 inf + 1548 * * [misc]simplify: Extracting #7: cost 4 inf + 4892 * * [misc]simplify: Extracting #8: cost 0 inf + 6704 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1473 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 7 inf + 44 * * [misc]simplify: Extracting #8: cost 2 inf + 893 * * [misc]simplify: Extracting #9: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 2194 * * [misc]simplify: Extracting #7: cost 0 inf + 6182 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1474 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 1 * * [misc]simplify: Extracting #7: cost 14 inf + 3 * * [misc]simplify: Extracting #8: cost 10 inf + 369 * * [misc]simplify: Extracting #9: cost 3 inf + 2223 * * [misc]simplify: Extracting #10: cost 0 inf + 3312 * [exit]simplify: Simplified to (/ 1 (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 87 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 12 inf + 1548 * * [misc]simplify: Extracting #7: cost 4 inf + 4892 * * [misc]simplify: Extracting #8: cost 0 inf + 6704 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1475 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 7 inf + 44 * * [misc]simplify: Extracting #8: cost 2 inf + 893 * * [misc]simplify: Extracting #9: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 2194 * * [misc]simplify: Extracting #7: cost 0 inf + 6182 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1476 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 1 * * [misc]simplify: Extracting #7: cost 14 inf + 3 * * [misc]simplify: Extracting #8: cost 10 inf + 369 * * [misc]simplify: Extracting #9: cost 3 inf + 2223 * * [misc]simplify: Extracting #10: cost 0 inf + 3312 * [exit]simplify: Simplified to (/ 1 (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 87 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 12 inf + 1548 * * [misc]simplify: Extracting #7: cost 4 inf + 4892 * * [misc]simplify: Extracting #8: cost 0 inf + 6704 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1477 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 7 inf + 44 * * [misc]simplify: Extracting #8: cost 2 inf + 893 * * [misc]simplify: Extracting #9: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 2194 * * [misc]simplify: Extracting #7: cost 0 inf + 6182 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1478 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 1 * * [misc]simplify: Extracting #7: cost 15 inf + 3 * * [misc]simplify: Extracting #8: cost 12 inf + 207 * * [misc]simplify: Extracting #9: cost 10 inf + 571 * * [misc]simplify: Extracting #10: cost 6 inf + 1740 * * [misc]simplify: Extracting #11: cost 0 inf + 3996 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1346 * * [misc]simplify: Extracting #7: cost 6 inf + 3322 * * [misc]simplify: Extracting #8: cost 0 inf + 5860 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1479 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 1 * * [misc]simplify: Extracting #7: cost 13 inf + 3 * * [misc]simplify: Extracting #8: cost 10 inf + 207 * * [misc]simplify: Extracting #9: cost 4 inf + 1700 * * [misc]simplify: Extracting #10: cost 0 inf + 3070 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2676 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1480 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 1 * * [misc]simplify: Extracting #7: cost 14 inf + 3 * * [misc]simplify: Extracting #8: cost 11 inf + 207 * * [misc]simplify: Extracting #9: cost 5 inf + 1539 * * [misc]simplify: Extracting #10: cost 2 inf + 2387 * * [misc]simplify: Extracting #11: cost 0 inf + 3312 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 87 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1790 * * [misc]simplify: Extracting #7: cost 3 inf + 5134 * * [misc]simplify: Extracting #8: cost 0 inf + 6704 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1481 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 3 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 1339 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 3 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 2880 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1482 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 2 inf + 571 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1710 * * [misc]simplify: Extracting #7: cost 1 inf + 4696 * * [misc]simplify: Extracting #8: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1483 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 3 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 1339 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 3 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 2880 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1484 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1710 * * [misc]simplify: Extracting #7: cost 1 inf + 4696 * * [misc]simplify: Extracting #8: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1485 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 3 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 1339 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 3 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 2880 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1486 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1710 * * [misc]simplify: Extracting #7: cost 1 inf + 4696 * * [misc]simplify: Extracting #8: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1487 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 1 * * [misc]simplify: Extracting #7: cost 9 inf + 3 * * [misc]simplify: Extracting #8: cost 7 inf + 85 * * [misc]simplify: Extracting #9: cost 6 inf + 207 * * [misc]simplify: Extracting #10: cost 4 inf + 571 * * [misc]simplify: Extracting #11: cost 1 inf + 1539 * * [misc]simplify: Extracting #12: cost 0 inf + 1861 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5338 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1488 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 7 inf + 3080 * * [misc]simplify: Extracting #7: cost 0 inf + 5740 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1489 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 2 inf + 893 * * [misc]simplify: Extracting #8: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 6 inf + 3202 * * [misc]simplify: Extracting #7: cost 0 inf + 6182 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1490 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 2 inf + 571 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1491 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt 1))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 413 * * [misc]simplify: Extracting #6: cost 3 inf + 1509 * * [misc]simplify: Extracting #7: cost 0 inf + 2479 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1492 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 2 inf + 571 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1493 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt 1))) (sqrt 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 413 * * [misc]simplify: Extracting #6: cost 3 inf + 1509 * * [misc]simplify: Extracting #7: cost 0 inf + 2479 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1494 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 2 inf + 571 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1495 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 413 * * [misc]simplify: Extracting #6: cost 3 inf + 1509 * * [misc]simplify: Extracting #7: cost 0 inf + 2479 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1496 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 1 * * [misc]simplify: Extracting #7: cost 15 inf + 3 * * [misc]simplify: Extracting #8: cost 12 inf + 207 * * [misc]simplify: Extracting #9: cost 10 inf + 571 * * [misc]simplify: Extracting #10: cost 6 inf + 1740 * * [misc]simplify: Extracting #11: cost 0 inf + 3996 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1346 * * [misc]simplify: Extracting #7: cost 6 inf + 3322 * * [misc]simplify: Extracting #8: cost 0 inf + 5860 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1497 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 1 * * [misc]simplify: Extracting #7: cost 13 inf + 3 * * [misc]simplify: Extracting #8: cost 10 inf + 207 * * [misc]simplify: Extracting #9: cost 4 inf + 1700 * * [misc]simplify: Extracting #10: cost 0 inf + 3070 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2676 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1498 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 1 * * [misc]simplify: Extracting #7: cost 14 inf + 3 * * [misc]simplify: Extracting #8: cost 11 inf + 207 * * [misc]simplify: Extracting #9: cost 5 inf + 1539 * * [misc]simplify: Extracting #10: cost 2 inf + 2387 * * [misc]simplify: Extracting #11: cost 0 inf + 3312 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 87 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1790 * * [misc]simplify: Extracting #7: cost 3 inf + 5134 * * [misc]simplify: Extracting #8: cost 0 inf + 6704 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1499 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 3 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 1339 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 3 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 2880 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1500 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 2 inf + 571 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1710 * * [misc]simplify: Extracting #7: cost 1 inf + 4696 * * [misc]simplify: Extracting #8: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1501 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 3 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 1339 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 3 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 2880 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1502 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1710 * * [misc]simplify: Extracting #7: cost 1 inf + 4696 * * [misc]simplify: Extracting #8: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1503 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 3 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 1339 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 3 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 2880 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1504 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1710 * * [misc]simplify: Extracting #7: cost 1 inf + 4696 * * [misc]simplify: Extracting #8: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1505 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 1 * * [misc]simplify: Extracting #7: cost 7 inf + 85 * * [misc]simplify: Extracting #8: cost 4 inf + 571 * * [misc]simplify: Extracting #9: cost 2 inf + 1176 * * [misc]simplify: Extracting #10: cost 0 inf + 1861 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5338 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1506 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 7 inf + 3080 * * [misc]simplify: Extracting #7: cost 0 inf + 5740 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1507 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 2 inf + 893 * * [misc]simplify: Extracting #8: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 6 inf + 3202 * * [misc]simplify: Extracting #7: cost 0 inf + 6182 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1508 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1509 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt 1)) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 413 * * [misc]simplify: Extracting #6: cost 3 inf + 1509 * * [misc]simplify: Extracting #7: cost 0 inf + 2479 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1510 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1511 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 413 * * [misc]simplify: Extracting #6: cost 3 inf + 1509 * * [misc]simplify: Extracting #7: cost 0 inf + 2479 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1512 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1513 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 413 * * [misc]simplify: Extracting #6: cost 3 inf + 1509 * * [misc]simplify: Extracting #7: cost 0 inf + 2479 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1514 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 1 * * [misc]simplify: Extracting #7: cost 15 inf + 3 * * [misc]simplify: Extracting #8: cost 12 inf + 207 * * [misc]simplify: Extracting #9: cost 10 inf + 571 * * [misc]simplify: Extracting #10: cost 6 inf + 1740 * * [misc]simplify: Extracting #11: cost 0 inf + 3996 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1346 * * [misc]simplify: Extracting #7: cost 6 inf + 3322 * * [misc]simplify: Extracting #8: cost 0 inf + 5860 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1515 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 1 * * [misc]simplify: Extracting #7: cost 13 inf + 3 * * [misc]simplify: Extracting #8: cost 10 inf + 207 * * [misc]simplify: Extracting #9: cost 4 inf + 1700 * * [misc]simplify: Extracting #10: cost 0 inf + 3070 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2676 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1516 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 1 * * [misc]simplify: Extracting #7: cost 14 inf + 3 * * [misc]simplify: Extracting #8: cost 11 inf + 207 * * [misc]simplify: Extracting #9: cost 5 inf + 1539 * * [misc]simplify: Extracting #10: cost 2 inf + 2387 * * [misc]simplify: Extracting #11: cost 0 inf + 3312 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 87 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1790 * * [misc]simplify: Extracting #7: cost 3 inf + 5134 * * [misc]simplify: Extracting #8: cost 0 inf + 6704 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1517 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 3 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 1339 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 3 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 2880 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1518 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 2 inf + 571 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1710 * * [misc]simplify: Extracting #7: cost 1 inf + 4696 * * [misc]simplify: Extracting #8: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1519 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 3 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 1339 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 3 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 2880 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1520 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1710 * * [misc]simplify: Extracting #7: cost 1 inf + 4696 * * [misc]simplify: Extracting #8: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1521 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 3 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 1339 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 3 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 2880 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1522 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1710 * * [misc]simplify: Extracting #7: cost 1 inf + 4696 * * [misc]simplify: Extracting #8: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1523 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 1 * * [misc]simplify: Extracting #7: cost 7 inf + 85 * * [misc]simplify: Extracting #8: cost 4 inf + 571 * * [misc]simplify: Extracting #9: cost 2 inf + 1176 * * [misc]simplify: Extracting #10: cost 0 inf + 1861 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5338 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1524 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 7 inf + 3080 * * [misc]simplify: Extracting #7: cost 0 inf + 5740 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1525 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 2 inf + 893 * * [misc]simplify: Extracting #8: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 6 inf + 3202 * * [misc]simplify: Extracting #7: cost 0 inf + 6182 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1526 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1527 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) 1) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 413 * * [misc]simplify: Extracting #6: cost 3 inf + 1509 * * [misc]simplify: Extracting #7: cost 0 inf + 2479 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1528 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1529 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 413 * * [misc]simplify: Extracting #6: cost 3 inf + 1509 * * [misc]simplify: Extracting #7: cost 0 inf + 2479 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1530 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1531 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt 1)) 1) 1) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 413 * * [misc]simplify: Extracting #6: cost 3 inf + 1509 * * [misc]simplify: Extracting #7: cost 0 inf + 2479 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1532 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 2 * * [misc]simplify: Extracting #4: cost 18 inf + 4 * * [misc]simplify: Extracting #5: cost 20 inf + 4 * * [misc]simplify: Extracting #6: cost 17 inf + 47 * * [misc]simplify: Extracting #7: cost 15 inf + 210 * * [misc]simplify: Extracting #8: cost 14 inf + 372 * * [misc]simplify: Extracting #9: cost 10 inf + 1302 * * [misc]simplify: Extracting #10: cost 0 inf + 4687 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 14 inf + 46 * * [misc]simplify: Extracting #6: cost 9 inf + 416 * * [misc]simplify: Extracting #7: cost 6 inf + 1062 * * [misc]simplify: Extracting #8: cost 0 inf + 3522 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1533 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 26 inf + 1 * * [misc]simplify: Extracting #3: cost 27 inf + 1 * * [misc]simplify: Extracting #4: cost 29 inf + 1 * * [misc]simplify: Extracting #5: cost 31 inf + 1 * * [misc]simplify: Extracting #6: cost 28 inf + 44 * * [misc]simplify: Extracting #7: cost 26 inf + 207 * * [misc]simplify: Extracting #8: cost 21 inf + 1338 * * [misc]simplify: Extracting #9: cost 5 inf + 7458 * * [misc]simplify: Extracting #10: cost 0 inf + 9871 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2918 * * [misc]simplify: Extracting #7: cost 0 inf + 6702 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1534 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 1 * * [misc]simplify: Extracting #3: cost 28 inf + 1 * * [misc]simplify: Extracting #4: cost 30 inf + 1 * * [misc]simplify: Extracting #5: cost 32 inf + 1 * * [misc]simplify: Extracting #6: cost 29 inf + 44 * * [misc]simplify: Extracting #7: cost 27 inf + 207 * * [misc]simplify: Extracting #8: cost 21 inf + 1540 * * [misc]simplify: Extracting #9: cost 8 inf + 6533 * * [misc]simplify: Extracting #10: cost 0 inf + 10433 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1870 * * [misc]simplify: Extracting #7: cost 3 inf + 5294 * * [misc]simplify: Extracting #8: cost 0 inf + 7144 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1535 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 1 * * [misc]simplify: Extracting #3: cost 25 inf + 1 * * [misc]simplify: Extracting #4: cost 27 inf + 1 * * [misc]simplify: Extracting #5: cost 29 inf + 1 * * [misc]simplify: Extracting #6: cost 26 inf + 44 * * [misc]simplify: Extracting #7: cost 24 inf + 207 * * [misc]simplify: Extracting #8: cost 17 inf + 1944 * * [misc]simplify: Extracting #9: cost 2 inf + 7662 * * [misc]simplify: Extracting #10: cost 0 inf + 8467 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 10 inf + 1668 * * [misc]simplify: Extracting #7: cost 0 inf + 5900 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1536 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 3 * * [misc]simplify: Extracting #7: cost 11 inf + 207 * * [misc]simplify: Extracting #8: cost 5 inf + 1741 * * [misc]simplify: Extracting #9: cost 0 inf + 3554 * [exit]simplify: Simplified to (/ (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 412 * * [misc]simplify: Extracting #5: cost 5 inf + 1870 * * [misc]simplify: Extracting #6: cost 0 inf + 3806 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1537 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 1 * * [misc]simplify: Extracting #3: cost 25 inf + 1 * * [misc]simplify: Extracting #4: cost 27 inf + 1 * * [misc]simplify: Extracting #5: cost 29 inf + 1 * * [misc]simplify: Extracting #6: cost 26 inf + 44 * * [misc]simplify: Extracting #7: cost 24 inf + 207 * * [misc]simplify: Extracting #8: cost 17 inf + 1944 * * [misc]simplify: Extracting #9: cost 2 inf + 7662 * * [misc]simplify: Extracting #10: cost 0 inf + 8467 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 10 inf + 1668 * * [misc]simplify: Extracting #7: cost 0 inf + 5900 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1538 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 3 * * [misc]simplify: Extracting #7: cost 11 inf + 207 * * [misc]simplify: Extracting #8: cost 9 inf + 571 * * [misc]simplify: Extracting #9: cost 1 inf + 3191 * * [misc]simplify: Extracting #10: cost 0 inf + 3554 * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 412 * * [misc]simplify: Extracting #5: cost 5 inf + 1870 * * [misc]simplify: Extracting #6: cost 0 inf + 3806 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1539 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 1 * * [misc]simplify: Extracting #3: cost 25 inf + 1 * * [misc]simplify: Extracting #4: cost 27 inf + 1 * * [misc]simplify: Extracting #5: cost 29 inf + 1 * * [misc]simplify: Extracting #6: cost 26 inf + 44 * * [misc]simplify: Extracting #7: cost 24 inf + 207 * * [misc]simplify: Extracting #8: cost 17 inf + 1944 * * [misc]simplify: Extracting #9: cost 2 inf + 7662 * * [misc]simplify: Extracting #10: cost 0 inf + 8467 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 10 inf + 1668 * * [misc]simplify: Extracting #7: cost 0 inf + 5900 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1540 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 3 * * [misc]simplify: Extracting #7: cost 11 inf + 207 * * [misc]simplify: Extracting #8: cost 10 inf + 369 * * [misc]simplify: Extracting #9: cost 4 inf + 2104 * * [misc]simplify: Extracting #10: cost 0 inf + 3554 * [exit]simplify: Simplified to (/ 1 (* (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 412 * * [misc]simplify: Extracting #5: cost 5 inf + 1870 * * [misc]simplify: Extracting #6: cost 0 inf + 3806 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1541 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 1 * * [misc]simplify: Extracting #3: cost 26 inf + 1 * * [misc]simplify: Extracting #4: cost 28 inf + 1 * * [misc]simplify: Extracting #5: cost 30 inf + 1 * * [misc]simplify: Extracting #6: cost 27 inf + 44 * * [misc]simplify: Extracting #7: cost 25 inf + 207 * * [misc]simplify: Extracting #8: cost 20 inf + 1338 * * [misc]simplify: Extracting #9: cost 6 inf + 6614 * * [misc]simplify: Extracting #10: cost 0 inf + 9468 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 2596 * * [misc]simplify: Extracting #7: cost 0 inf + 6702 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1542 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 1 * * [misc]simplify: Extracting #7: cost 13 inf + 3 * * [misc]simplify: Extracting #8: cost 10 inf + 207 * * [misc]simplify: Extracting #9: cost 6 inf + 1095 * * [misc]simplify: Extracting #10: cost 0 inf + 3111 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 250 * * [misc]simplify: Extracting #6: cost 7 inf + 780 * * [misc]simplify: Extracting #7: cost 2 inf + 2676 * * [misc]simplify: Extracting #8: cost 0 inf + 3482 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1543 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 1 * * [misc]simplify: Extracting #3: cost 21 inf + 1 * * [misc]simplify: Extracting #4: cost 23 inf + 1 * * [misc]simplify: Extracting #5: cost 25 inf + 1 * * [misc]simplify: Extracting #6: cost 22 inf + 44 * * [misc]simplify: Extracting #7: cost 19 inf + 409 * * [misc]simplify: Extracting #8: cost 12 inf + 2024 * * [misc]simplify: Extracting #9: cost 1 inf + 6532 * * [misc]simplify: Extracting #10: cost 0 inf + 7014 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 46 * * [misc]simplify: Extracting #5: cost 18 inf + 416 * * [misc]simplify: Extracting #6: cost 13 inf + 1588 * * [misc]simplify: Extracting #7: cost 8 inf + 3442 * * [misc]simplify: Extracting #8: cost 2 inf + 6260 * * [misc]simplify: Extracting #9: cost 0 inf + 7546 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1544 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 22 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 3 * * [misc]simplify: Extracting #7: cost 17 inf + 207 * * [misc]simplify: Extracting #8: cost 11 inf + 1580 * * [misc]simplify: Extracting #9: cost 0 inf + 5608 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 2476 * * [misc]simplify: Extracting #7: cost 0 inf + 6382 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1545 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 3 * * [misc]simplify: Extracting #7: cost 9 inf + 207 * * [misc]simplify: Extracting #8: cost 4 inf + 1338 * * [misc]simplify: Extracting #9: cost 0 inf + 2708 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 250 * * [misc]simplify: Extracting #5: cost 8 inf + 1022 * * [misc]simplify: Extracting #6: cost 2 inf + 3322 * * [misc]simplify: Extracting #7: cost 0 inf + 4128 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1546 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 22 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 3 * * [misc]simplify: Extracting #7: cost 17 inf + 207 * * [misc]simplify: Extracting #8: cost 11 inf + 1580 * * [misc]simplify: Extracting #9: cost 0 inf + 5608 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 2476 * * [misc]simplify: Extracting #7: cost 0 inf + 6382 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1547 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 3 * * [misc]simplify: Extracting #7: cost 9 inf + 207 * * [misc]simplify: Extracting #8: cost 5 inf + 1095 * * [misc]simplify: Extracting #9: cost 0 inf + 2708 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 250 * * [misc]simplify: Extracting #5: cost 8 inf + 1022 * * [misc]simplify: Extracting #6: cost 2 inf + 3322 * * [misc]simplify: Extracting #7: cost 0 inf + 4128 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1548 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 22 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 3 * * [misc]simplify: Extracting #7: cost 17 inf + 207 * * [misc]simplify: Extracting #8: cost 11 inf + 1580 * * [misc]simplify: Extracting #9: cost 0 inf + 5608 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 2476 * * [misc]simplify: Extracting #7: cost 0 inf + 6382 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1549 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 3 * * [misc]simplify: Extracting #7: cost 9 inf + 207 * * [misc]simplify: Extracting #8: cost 3 inf + 1741 * * [misc]simplify: Extracting #9: cost 0 inf + 2708 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 250 * * [misc]simplify: Extracting #5: cost 8 inf + 1022 * * [misc]simplify: Extracting #6: cost 2 inf + 3322 * * [misc]simplify: Extracting #7: cost 0 inf + 4128 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1550 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 1 * * [misc]simplify: Extracting #3: cost 27 inf + 1 * * [misc]simplify: Extracting #4: cost 29 inf + 1 * * [misc]simplify: Extracting #5: cost 31 inf + 1 * * [misc]simplify: Extracting #6: cost 28 inf + 44 * * [misc]simplify: Extracting #7: cost 26 inf + 207 * * [misc]simplify: Extracting #8: cost 18 inf + 2225 * * [misc]simplify: Extracting #9: cost 4 inf + 8101 * * [misc]simplify: Extracting #10: cost 0 inf + 10030 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 618 * * [misc]simplify: Extracting #6: cost 5 inf + 4608 * * [misc]simplify: Extracting #7: cost 0 inf + 7144 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1551 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 1 * * [misc]simplify: Extracting #3: cost 21 inf + 1 * * [misc]simplify: Extracting #4: cost 23 inf + 1 * * [misc]simplify: Extracting #5: cost 25 inf + 1 * * [misc]simplify: Extracting #6: cost 22 inf + 44 * * [misc]simplify: Extracting #7: cost 19 inf + 409 * * [misc]simplify: Extracting #8: cost 7 inf + 3756 * * [misc]simplify: Extracting #9: cost 0 inf + 7014 * [exit]simplify: Simplified to (/ (/ 1 (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 46 * * [misc]simplify: Extracting #5: cost 17 inf + 618 * * [misc]simplify: Extracting #6: cost 10 inf + 2676 * * [misc]simplify: Extracting #7: cost 2 inf + 6260 * * [misc]simplify: Extracting #8: cost 0 inf + 7546 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1552 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 3 * * [misc]simplify: Extracting #7: cost 9 inf + 651 * * [misc]simplify: Extracting #8: cost 5 inf + 1539 * * [misc]simplify: Extracting #9: cost 0 inf + 3353 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 452 * * [misc]simplify: Extracting #6: cost 5 inf + 1506 * * [misc]simplify: Extracting #7: cost 1 inf + 3280 * * [misc]simplify: Extracting #8: cost 0 inf + 3804 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1553 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 44 * * [misc]simplify: Extracting #7: cost 17 inf + 409 * * [misc]simplify: Extracting #8: cost 10 inf + 2225 * * [misc]simplify: Extracting #9: cost 0 inf + 6010 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 618 * * [misc]simplify: Extracting #6: cost 5 inf + 4448 * * [misc]simplify: Extracting #7: cost 0 inf + 6824 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1554 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 3 * * [misc]simplify: Extracting #7: cost 8 inf + 651 * * [misc]simplify: Extracting #8: cost 5 inf + 1337 * * [misc]simplify: Extracting #9: cost 0 inf + 2950 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 572 * * [misc]simplify: Extracting #5: cost 8 inf + 1382 * * [misc]simplify: Extracting #6: cost 1 inf + 3966 * * [misc]simplify: Extracting #7: cost 0 inf + 4490 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1555 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 44 * * [misc]simplify: Extracting #7: cost 17 inf + 409 * * [misc]simplify: Extracting #8: cost 10 inf + 2225 * * [misc]simplify: Extracting #9: cost 0 inf + 6010 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 618 * * [misc]simplify: Extracting #6: cost 5 inf + 4448 * * [misc]simplify: Extracting #7: cost 0 inf + 6824 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1556 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 3 * * [misc]simplify: Extracting #7: cost 8 inf + 651 * * [misc]simplify: Extracting #8: cost 1 inf + 2548 * * [misc]simplify: Extracting #9: cost 0 inf + 2950 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 572 * * [misc]simplify: Extracting #5: cost 8 inf + 1382 * * [misc]simplify: Extracting #6: cost 1 inf + 3966 * * [misc]simplify: Extracting #7: cost 0 inf + 4490 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1557 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 44 * * [misc]simplify: Extracting #7: cost 17 inf + 409 * * [misc]simplify: Extracting #8: cost 10 inf + 2225 * * [misc]simplify: Extracting #9: cost 0 inf + 6010 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 618 * * [misc]simplify: Extracting #6: cost 5 inf + 4448 * * [misc]simplify: Extracting #7: cost 0 inf + 6824 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1558 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 3 * * [misc]simplify: Extracting #7: cost 8 inf + 651 * * [misc]simplify: Extracting #8: cost 5 inf + 1337 * * [misc]simplify: Extracting #9: cost 0 inf + 2950 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 572 * * [misc]simplify: Extracting #5: cost 8 inf + 1382 * * [misc]simplify: Extracting #6: cost 1 inf + 3966 * * [misc]simplify: Extracting #7: cost 0 inf + 4490 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1559 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 23 inf + 1 * * [misc]simplify: Extracting #3: cost 24 inf + 1 * * [misc]simplify: Extracting #4: cost 26 inf + 1 * * [misc]simplify: Extracting #5: cost 28 inf + 1 * * [misc]simplify: Extracting #6: cost 25 inf + 44 * * [misc]simplify: Extracting #7: cost 23 inf + 207 * * [misc]simplify: Extracting #8: cost 14 inf + 2668 * * [misc]simplify: Extracting #9: cost 1 inf + 7622 * * [misc]simplify: Extracting #10: cost 0 inf + 8064 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 10 inf + 1668 * * [misc]simplify: Extracting #7: cost 0 inf + 5900 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1560 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 22 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 3 * * [misc]simplify: Extracting #7: cost 17 inf + 207 * * [misc]simplify: Extracting #8: cost 12 inf + 1337 * * [misc]simplify: Extracting #9: cost 0 inf + 5608 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2878 * * [misc]simplify: Extracting #7: cost 0 inf + 6382 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1561 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 44 * * [misc]simplify: Extracting #7: cost 18 inf + 207 * * [misc]simplify: Extracting #8: cost 11 inf + 1742 * * [misc]simplify: Extracting #9: cost 1 inf + 5527 * * [misc]simplify: Extracting #10: cost 0 inf + 6010 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1830 * * [misc]simplify: Extracting #7: cost 3 inf + 5094 * * [misc]simplify: Extracting #8: cost 0 inf + 6824 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1562 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 2 * * [misc]simplify: Extracting #5: cost 13 inf + 2 * * [misc]simplify: Extracting #6: cost 11 inf + 4 * * [misc]simplify: Extracting #7: cost 8 inf + 208 * * [misc]simplify: Extracting #8: cost 5 inf + 814 * * [misc]simplify: Extracting #9: cost 0 inf + 2228 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 5 inf + 1023 * * [misc]simplify: Extracting #7: cost 0 inf + 2921 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1563 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 207 * * [misc]simplify: Extracting #8: cost 5 inf + 571 * * [misc]simplify: Extracting #9: cost 2 inf + 1379 * * [misc]simplify: Extracting #10: cost 0 inf + 1944 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 412 * * [misc]simplify: Extracting #5: cost 5 inf + 1790 * * [misc]simplify: Extracting #6: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1564 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 2 * * [misc]simplify: Extracting #5: cost 13 inf + 2 * * [misc]simplify: Extracting #6: cost 11 inf + 4 * * [misc]simplify: Extracting #7: cost 8 inf + 208 * * [misc]simplify: Extracting #8: cost 5 inf + 814 * * [misc]simplify: Extracting #9: cost 0 inf + 2228 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 5 inf + 1023 * * [misc]simplify: Extracting #7: cost 0 inf + 2921 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1565 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 207 * * [misc]simplify: Extracting #8: cost 4 inf + 814 * * [misc]simplify: Extracting #9: cost 0 inf + 1944 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 412 * * [misc]simplify: Extracting #5: cost 5 inf + 1790 * * [misc]simplify: Extracting #6: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1566 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 2 * * [misc]simplify: Extracting #5: cost 13 inf + 2 * * [misc]simplify: Extracting #6: cost 11 inf + 4 * * [misc]simplify: Extracting #7: cost 8 inf + 208 * * [misc]simplify: Extracting #8: cost 5 inf + 814 * * [misc]simplify: Extracting #9: cost 0 inf + 2228 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 5 inf + 1023 * * [misc]simplify: Extracting #7: cost 0 inf + 2921 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1567 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 207 * * [misc]simplify: Extracting #8: cost 5 inf + 571 * * [misc]simplify: Extracting #9: cost 2 inf + 1379 * * [misc]simplify: Extracting #10: cost 0 inf + 1944 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 412 * * [misc]simplify: Extracting #5: cost 5 inf + 1790 * * [misc]simplify: Extracting #6: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1568 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 1 * * [misc]simplify: Extracting #7: cost 12 inf + 3 * * [misc]simplify: Extracting #8: cost 9 inf + 207 * * [misc]simplify: Extracting #9: cost 8 inf + 369 * * [misc]simplify: Extracting #10: cost 4 inf + 1418 * * [misc]simplify: Extracting #11: cost 0 inf + 2829 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 250 * * [misc]simplify: Extracting #5: cost 7 inf + 1104 * * [misc]simplify: Extracting #6: cost 1 inf + 3362 * * [misc]simplify: Extracting #7: cost 0 inf + 3806 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1569 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 1 * * [misc]simplify: Extracting #7: cost 10 inf + 3 * * [misc]simplify: Extracting #8: cost 7 inf + 207 * * [misc]simplify: Extracting #9: cost 3 inf + 1175 * * [misc]simplify: Extracting #10: cost 0 inf + 2023 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 208 * * [misc]simplify: Extracting #5: cost 8 inf + 1180 * * [misc]simplify: Extracting #6: cost 0 inf + 4208 * * [misc]simplify: Extracting #7: cost 0 inf + 4128 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1570 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 1 * * [misc]simplify: Extracting #7: cost 11 inf + 3 * * [misc]simplify: Extracting #8: cost 8 inf + 207 * * [misc]simplify: Extracting #9: cost 1 inf + 1782 * * [misc]simplify: Extracting #10: cost 0 inf + 2225 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 45 * * [misc]simplify: Extracting #5: cost 13 inf + 292 * * [misc]simplify: Extracting #6: cost 7 inf + 1548 * * [misc]simplify: Extracting #7: cost 2 inf + 3522 * * [misc]simplify: Extracting #8: cost 0 inf + 4490 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1571 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 6 inf + 85 * * [misc]simplify: Extracting #8: cost 4 inf + 369 * * [misc]simplify: Extracting #9: cost 0 inf + 1379 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 250 * * [misc]simplify: Extracting #5: cost 7 inf + 1104 * * [misc]simplify: Extracting #6: cost 1 inf + 3162 * * [misc]simplify: Extracting #7: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1572 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 6 inf + 3 * * [misc]simplify: Extracting #7: cost 2 inf + 369 * * [misc]simplify: Extracting #8: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 6 inf + 412 * * [misc]simplify: Extracting #6: cost 2 inf + 1104 * * [misc]simplify: Extracting #7: cost 0 inf + 1872 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1573 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 6 inf + 85 * * [misc]simplify: Extracting #8: cost 4 inf + 369 * * [misc]simplify: Extracting #9: cost 0 inf + 1379 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 250 * * [misc]simplify: Extracting #5: cost 7 inf + 1104 * * [misc]simplify: Extracting #6: cost 1 inf + 3162 * * [misc]simplify: Extracting #7: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1574 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 6 inf + 3 * * [misc]simplify: Extracting #7: cost 2 inf + 369 * * [misc]simplify: Extracting #8: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 6 inf + 412 * * [misc]simplify: Extracting #6: cost 2 inf + 1104 * * [misc]simplify: Extracting #7: cost 0 inf + 1872 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1575 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 6 inf + 85 * * [misc]simplify: Extracting #8: cost 4 inf + 369 * * [misc]simplify: Extracting #9: cost 0 inf + 1379 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 250 * * [misc]simplify: Extracting #5: cost 7 inf + 1104 * * [misc]simplify: Extracting #6: cost 1 inf + 3162 * * [misc]simplify: Extracting #7: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1576 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 6 inf + 3 * * [misc]simplify: Extracting #7: cost 2 inf + 369 * * [misc]simplify: Extracting #8: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 6 inf + 412 * * [misc]simplify: Extracting #6: cost 2 inf + 1104 * * [misc]simplify: Extracting #7: cost 0 inf + 1872 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1577 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 23 inf + 1 * * [misc]simplify: Extracting #3: cost 24 inf + 1 * * [misc]simplify: Extracting #4: cost 26 inf + 1 * * [misc]simplify: Extracting #5: cost 28 inf + 1 * * [misc]simplify: Extracting #6: cost 25 inf + 44 * * [misc]simplify: Extracting #7: cost 23 inf + 207 * * [misc]simplify: Extracting #8: cost 14 inf + 2668 * * [misc]simplify: Extracting #9: cost 1 inf + 7622 * * [misc]simplify: Extracting #10: cost 0 inf + 8064 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 10 inf + 1668 * * [misc]simplify: Extracting #7: cost 0 inf + 5900 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1578 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 22 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 3 * * [misc]simplify: Extracting #7: cost 17 inf + 207 * * [misc]simplify: Extracting #8: cost 12 inf + 1337 * * [misc]simplify: Extracting #9: cost 0 inf + 5608 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2878 * * [misc]simplify: Extracting #7: cost 0 inf + 6382 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1579 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 44 * * [misc]simplify: Extracting #7: cost 18 inf + 207 * * [misc]simplify: Extracting #8: cost 11 inf + 1742 * * [misc]simplify: Extracting #9: cost 1 inf + 5527 * * [misc]simplify: Extracting #10: cost 0 inf + 6010 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1830 * * [misc]simplify: Extracting #7: cost 3 inf + 5094 * * [misc]simplify: Extracting #8: cost 0 inf + 6824 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1580 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 2 * * [misc]simplify: Extracting #5: cost 13 inf + 2 * * [misc]simplify: Extracting #6: cost 11 inf + 4 * * [misc]simplify: Extracting #7: cost 8 inf + 208 * * [misc]simplify: Extracting #8: cost 5 inf + 814 * * [misc]simplify: Extracting #9: cost 0 inf + 2228 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 5 inf + 1023 * * [misc]simplify: Extracting #7: cost 0 inf + 2921 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1581 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 207 * * [misc]simplify: Extracting #8: cost 5 inf + 571 * * [misc]simplify: Extracting #9: cost 2 inf + 1379 * * [misc]simplify: Extracting #10: cost 0 inf + 1944 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 412 * * [misc]simplify: Extracting #5: cost 5 inf + 1790 * * [misc]simplify: Extracting #6: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1582 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 2 * * [misc]simplify: Extracting #5: cost 13 inf + 2 * * [misc]simplify: Extracting #6: cost 11 inf + 4 * * [misc]simplify: Extracting #7: cost 8 inf + 208 * * [misc]simplify: Extracting #8: cost 5 inf + 814 * * [misc]simplify: Extracting #9: cost 0 inf + 2228 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 5 inf + 1023 * * [misc]simplify: Extracting #7: cost 0 inf + 2921 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1583 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 207 * * [misc]simplify: Extracting #8: cost 4 inf + 814 * * [misc]simplify: Extracting #9: cost 0 inf + 1944 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 412 * * [misc]simplify: Extracting #5: cost 5 inf + 1790 * * [misc]simplify: Extracting #6: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1584 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 2 * * [misc]simplify: Extracting #5: cost 13 inf + 2 * * [misc]simplify: Extracting #6: cost 11 inf + 4 * * [misc]simplify: Extracting #7: cost 8 inf + 208 * * [misc]simplify: Extracting #8: cost 5 inf + 814 * * [misc]simplify: Extracting #9: cost 0 inf + 2228 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 5 inf + 1023 * * [misc]simplify: Extracting #7: cost 0 inf + 2921 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1585 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 207 * * [misc]simplify: Extracting #8: cost 5 inf + 571 * * [misc]simplify: Extracting #9: cost 2 inf + 1379 * * [misc]simplify: Extracting #10: cost 0 inf + 1944 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 412 * * [misc]simplify: Extracting #5: cost 5 inf + 1790 * * [misc]simplify: Extracting #6: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1586 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 1 * * [misc]simplify: Extracting #7: cost 12 inf + 3 * * [misc]simplify: Extracting #8: cost 9 inf + 207 * * [misc]simplify: Extracting #9: cost 7 inf + 571 * * [misc]simplify: Extracting #10: cost 1 inf + 2507 * * [misc]simplify: Extracting #11: cost 0 inf + 2829 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 250 * * [misc]simplify: Extracting #5: cost 7 inf + 1104 * * [misc]simplify: Extracting #6: cost 1 inf + 3362 * * [misc]simplify: Extracting #7: cost 0 inf + 3806 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1587 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 1 * * [misc]simplify: Extracting #7: cost 10 inf + 3 * * [misc]simplify: Extracting #8: cost 7 inf + 207 * * [misc]simplify: Extracting #9: cost 3 inf + 1095 * * [misc]simplify: Extracting #10: cost 0 inf + 2023 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 208 * * [misc]simplify: Extracting #5: cost 8 inf + 1180 * * [misc]simplify: Extracting #6: cost 0 inf + 4208 * * [misc]simplify: Extracting #7: cost 0 inf + 4128 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1588 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 1 * * [misc]simplify: Extracting #7: cost 11 inf + 3 * * [misc]simplify: Extracting #8: cost 6 inf + 651 * * [misc]simplify: Extracting #9: cost 3 inf + 1337 * * [misc]simplify: Extracting #10: cost 0 inf + 2225 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 45 * * [misc]simplify: Extracting #5: cost 13 inf + 292 * * [misc]simplify: Extracting #6: cost 7 inf + 1548 * * [misc]simplify: Extracting #7: cost 2 inf + 3522 * * [misc]simplify: Extracting #8: cost 0 inf + 4490 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1589 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 8 inf + 3 * * [misc]simplify: Extracting #8: cost 3 inf + 571 * * [misc]simplify: Extracting #9: cost 0 inf + 1379 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 250 * * [misc]simplify: Extracting #5: cost 7 inf + 1104 * * [misc]simplify: Extracting #6: cost 1 inf + 3162 * * [misc]simplify: Extracting #7: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1590 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 1 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 6 inf + 412 * * [misc]simplify: Extracting #6: cost 2 inf + 1104 * * [misc]simplify: Extracting #7: cost 0 inf + 1872 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1591 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 8 inf + 3 * * [misc]simplify: Extracting #8: cost 3 inf + 571 * * [misc]simplify: Extracting #9: cost 0 inf + 1379 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 250 * * [misc]simplify: Extracting #5: cost 7 inf + 1104 * * [misc]simplify: Extracting #6: cost 1 inf + 3162 * * [misc]simplify: Extracting #7: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1592 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 1 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 6 inf + 412 * * [misc]simplify: Extracting #6: cost 2 inf + 1104 * * [misc]simplify: Extracting #7: cost 0 inf + 1872 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1593 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 8 inf + 3 * * [misc]simplify: Extracting #8: cost 3 inf + 571 * * [misc]simplify: Extracting #9: cost 0 inf + 1379 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 250 * * [misc]simplify: Extracting #5: cost 7 inf + 1104 * * [misc]simplify: Extracting #6: cost 1 inf + 3162 * * [misc]simplify: Extracting #7: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1594 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 1 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 6 inf + 412 * * [misc]simplify: Extracting #6: cost 2 inf + 1104 * * [misc]simplify: Extracting #7: cost 0 inf + 1872 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1595 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 23 inf + 1 * * [misc]simplify: Extracting #3: cost 24 inf + 1 * * [misc]simplify: Extracting #4: cost 26 inf + 1 * * [misc]simplify: Extracting #5: cost 28 inf + 1 * * [misc]simplify: Extracting #6: cost 25 inf + 44 * * [misc]simplify: Extracting #7: cost 23 inf + 207 * * [misc]simplify: Extracting #8: cost 14 inf + 2668 * * [misc]simplify: Extracting #9: cost 1 inf + 7622 * * [misc]simplify: Extracting #10: cost 0 inf + 8064 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 10 inf + 1668 * * [misc]simplify: Extracting #7: cost 0 inf + 5900 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1596 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 22 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 3 * * [misc]simplify: Extracting #7: cost 17 inf + 207 * * [misc]simplify: Extracting #8: cost 12 inf + 1337 * * [misc]simplify: Extracting #9: cost 0 inf + 5608 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 46 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2878 * * [misc]simplify: Extracting #7: cost 0 inf + 6382 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1597 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 44 * * [misc]simplify: Extracting #7: cost 18 inf + 207 * * [misc]simplify: Extracting #8: cost 11 inf + 1742 * * [misc]simplify: Extracting #9: cost 1 inf + 5527 * * [misc]simplify: Extracting #10: cost 0 inf + 6010 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 46 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1830 * * [misc]simplify: Extracting #7: cost 3 inf + 5094 * * [misc]simplify: Extracting #8: cost 0 inf + 6824 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1598 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 2 * * [misc]simplify: Extracting #5: cost 13 inf + 2 * * [misc]simplify: Extracting #6: cost 11 inf + 4 * * [misc]simplify: Extracting #7: cost 8 inf + 208 * * [misc]simplify: Extracting #8: cost 5 inf + 814 * * [misc]simplify: Extracting #9: cost 0 inf + 2228 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 5 inf + 1023 * * [misc]simplify: Extracting #7: cost 0 inf + 2921 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1599 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 207 * * [misc]simplify: Extracting #8: cost 5 inf + 571 * * [misc]simplify: Extracting #9: cost 2 inf + 1379 * * [misc]simplify: Extracting #10: cost 0 inf + 1944 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 412 * * [misc]simplify: Extracting #5: cost 5 inf + 1790 * * [misc]simplify: Extracting #6: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1600 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 2 * * [misc]simplify: Extracting #5: cost 13 inf + 2 * * [misc]simplify: Extracting #6: cost 11 inf + 4 * * [misc]simplify: Extracting #7: cost 8 inf + 208 * * [misc]simplify: Extracting #8: cost 5 inf + 814 * * [misc]simplify: Extracting #9: cost 0 inf + 2228 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 5 inf + 1023 * * [misc]simplify: Extracting #7: cost 0 inf + 2921 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1601 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 207 * * [misc]simplify: Extracting #8: cost 4 inf + 814 * * [misc]simplify: Extracting #9: cost 0 inf + 1944 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 412 * * [misc]simplify: Extracting #5: cost 5 inf + 1790 * * [misc]simplify: Extracting #6: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1602 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 2 * * [misc]simplify: Extracting #5: cost 13 inf + 2 * * [misc]simplify: Extracting #6: cost 11 inf + 4 * * [misc]simplify: Extracting #7: cost 8 inf + 208 * * [misc]simplify: Extracting #8: cost 5 inf + 814 * * [misc]simplify: Extracting #9: cost 0 inf + 2228 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 5 inf + 1023 * * [misc]simplify: Extracting #7: cost 0 inf + 2921 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1603 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 207 * * [misc]simplify: Extracting #8: cost 5 inf + 571 * * [misc]simplify: Extracting #9: cost 2 inf + 1379 * * [misc]simplify: Extracting #10: cost 0 inf + 1944 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 412 * * [misc]simplify: Extracting #5: cost 5 inf + 1790 * * [misc]simplify: Extracting #6: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1604 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 3 * * [misc]simplify: Extracting #7: cost 11 inf + 207 * * [misc]simplify: Extracting #8: cost 10 inf + 369 * * [misc]simplify: Extracting #9: cost 4 inf + 2104 * * [misc]simplify: Extracting #10: cost 0 inf + 3554 * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 250 * * [misc]simplify: Extracting #5: cost 7 inf + 1104 * * [misc]simplify: Extracting #6: cost 1 inf + 3362 * * [misc]simplify: Extracting #7: cost 0 inf + 3806 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1605 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 3 * * [misc]simplify: Extracting #7: cost 9 inf + 207 * * [misc]simplify: Extracting #8: cost 4 inf + 1498 * * [misc]simplify: Extracting #9: cost 0 inf + 2708 * [exit]simplify: Simplified to (/ 1 (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 208 * * [misc]simplify: Extracting #5: cost 8 inf + 1180 * * [misc]simplify: Extracting #6: cost 0 inf + 4208 * * [misc]simplify: Extracting #7: cost 0 inf + 4128 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1606 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 3 * * [misc]simplify: Extracting #7: cost 10 inf + 207 * * [misc]simplify: Extracting #8: cost 1 inf + 2507 * * [misc]simplify: Extracting #9: cost 0 inf + 2950 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 45 * * [misc]simplify: Extracting #5: cost 13 inf + 292 * * [misc]simplify: Extracting #6: cost 7 inf + 1548 * * [misc]simplify: Extracting #7: cost 2 inf + 3522 * * [misc]simplify: Extracting #8: cost 0 inf + 4490 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1607 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 207 * * [misc]simplify: Extracting #8: cost 0 inf + 1944 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 250 * * [misc]simplify: Extracting #5: cost 7 inf + 1104 * * [misc]simplify: Extracting #6: cost 1 inf + 3162 * * [misc]simplify: Extracting #7: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1608 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 6 inf + 3 * * [misc]simplify: Extracting #7: cost 2 inf + 369 * * [misc]simplify: Extracting #8: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 6 inf + 412 * * [misc]simplify: Extracting #6: cost 2 inf + 1104 * * [misc]simplify: Extracting #7: cost 0 inf + 1872 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1609 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 207 * * [misc]simplify: Extracting #8: cost 0 inf + 1944 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 250 * * [misc]simplify: Extracting #5: cost 7 inf + 1104 * * [misc]simplify: Extracting #6: cost 1 inf + 3162 * * [misc]simplify: Extracting #7: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1610 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 1 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 6 inf + 412 * * [misc]simplify: Extracting #6: cost 2 inf + 1104 * * [misc]simplify: Extracting #7: cost 0 inf + 1872 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1611 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 207 * * [misc]simplify: Extracting #8: cost 0 inf + 1944 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 250 * * [misc]simplify: Extracting #5: cost 7 inf + 1104 * * [misc]simplify: Extracting #6: cost 1 inf + 3162 * * [misc]simplify: Extracting #7: cost 0 inf + 3566 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1612 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 1) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 1 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 6 inf + 412 * * [misc]simplify: Extracting #6: cost 2 inf + 1104 * * [misc]simplify: Extracting #7: cost 0 inf + 1872 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1613 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 2 * * [misc]simplify: Extracting #4: cost 10 inf + 3 * * [misc]simplify: Extracting #5: cost 12 inf + 3 * * [misc]simplify: Extracting #6: cost 14 inf + 3 * * [misc]simplify: Extracting #7: cost 10 inf + 87 * * [misc]simplify: Extracting #8: cost 5 inf + 1098 * * [misc]simplify: Extracting #9: cost 0 inf + 2791 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 250 * * [misc]simplify: Extracting #6: cost 5 inf + 1386 * * [misc]simplify: Extracting #7: cost 0 inf + 3482 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1614 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 1 * * [misc]simplify: Extracting #6: cost 19 inf + 1 * * [misc]simplify: Extracting #7: cost 15 inf + 85 * * [misc]simplify: Extracting #8: cost 13 inf + 369 * * [misc]simplify: Extracting #9: cost 7 inf + 1982 * * [misc]simplify: Extracting #10: cost 1 inf + 4438 * * [misc]simplify: Extracting #11: cost 0 inf + 4920 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2716 * * [misc]simplify: Extracting #7: cost 0 inf + 6582 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1615 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 1 * * [misc]simplify: Extracting #7: cost 16 inf + 85 * * [misc]simplify: Extracting #8: cost 14 inf + 369 * * [misc]simplify: Extracting #9: cost 8 inf + 1821 * * [misc]simplify: Extracting #10: cost 1 inf + 4719 * * [misc]simplify: Extracting #11: cost 0 inf + 5242 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 87 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1830 * * [misc]simplify: Extracting #7: cost 3 inf + 5374 * * [misc]simplify: Extracting #8: cost 0 inf + 7024 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1616 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 1 * * [misc]simplify: Extracting #7: cost 13 inf + 85 * * [misc]simplify: Extracting #8: cost 11 inf + 369 * * [misc]simplify: Extracting #9: cost 8 inf + 1095 * * [misc]simplify: Extracting #10: cost 0 inf + 3996 * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1386 * * [misc]simplify: Extracting #7: cost 6 inf + 3442 * * [misc]simplify: Extracting #8: cost 0 inf + 5860 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1617 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 1 * * [misc]simplify: Extracting #7: cost 6 inf + 207 * * [misc]simplify: Extracting #8: cost 4 inf + 571 * * [misc]simplify: Extracting #9: cost 3 inf + 853 * * [misc]simplify: Extracting #10: cost 0 inf + 1861 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 1 inf + 4976 * * [misc]simplify: Extracting #8: cost 0 inf + 5338 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1618 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 1 * * [misc]simplify: Extracting #7: cost 13 inf + 85 * * [misc]simplify: Extracting #8: cost 11 inf + 369 * * [misc]simplify: Extracting #9: cost 8 inf + 1095 * * [misc]simplify: Extracting #10: cost 0 inf + 3996 * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1386 * * [misc]simplify: Extracting #7: cost 6 inf + 3442 * * [misc]simplify: Extracting #8: cost 0 inf + 5860 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1619 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 1 * * [misc]simplify: Extracting #7: cost 8 inf + 44 * * [misc]simplify: Extracting #8: cost 4 inf + 571 * * [misc]simplify: Extracting #9: cost 2 inf + 1176 * * [misc]simplify: Extracting #10: cost 0 inf + 1861 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 1 inf + 4976 * * [misc]simplify: Extracting #8: cost 0 inf + 5338 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1620 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 1 * * [misc]simplify: Extracting #7: cost 13 inf + 85 * * [misc]simplify: Extracting #8: cost 11 inf + 369 * * [misc]simplify: Extracting #9: cost 8 inf + 1095 * * [misc]simplify: Extracting #10: cost 0 inf + 3996 * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1386 * * [misc]simplify: Extracting #7: cost 6 inf + 3442 * * [misc]simplify: Extracting #8: cost 0 inf + 5860 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1621 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 1 * * [misc]simplify: Extracting #7: cost 8 inf + 44 * * [misc]simplify: Extracting #8: cost 4 inf + 571 * * [misc]simplify: Extracting #9: cost 2 inf + 1176 * * [misc]simplify: Extracting #10: cost 0 inf + 1861 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 1 inf + 4976 * * [misc]simplify: Extracting #8: cost 0 inf + 5338 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1622 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 1 * * [misc]simplify: Extracting #6: cost 19 inf + 1 * * [misc]simplify: Extracting #7: cost 15 inf + 85 * * [misc]simplify: Extracting #8: cost 13 inf + 369 * * [misc]simplify: Extracting #9: cost 7 inf + 1982 * * [misc]simplify: Extracting #10: cost 1 inf + 4438 * * [misc]simplify: Extracting #11: cost 0 inf + 4920 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2716 * * [misc]simplify: Extracting #7: cost 0 inf + 6582 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1623 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1861 * * [misc]simplify: Extracting #8: cost 0 inf + 1821 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 3 inf + 1870 * * [misc]simplify: Extracting #7: cost 0 inf + 3120 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1624 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 1 * * [misc]simplify: Extracting #7: cost 13 inf + 85 * * [misc]simplify: Extracting #8: cost 7 inf + 1337 * * [misc]simplify: Extracting #9: cost 2 inf + 2789 * * [misc]simplify: Extracting #10: cost 0 inf + 3794 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 87 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1870 * * [misc]simplify: Extracting #7: cost 3 inf + 5414 * * [misc]simplify: Extracting #8: cost 0 inf + 7064 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1625 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 1 * * [misc]simplify: Extracting #7: cost 11 inf + 85 * * [misc]simplify: Extracting #8: cost 9 inf + 369 * * [misc]simplify: Extracting #9: cost 3 inf + 1942 * * [misc]simplify: Extracting #10: cost 0 inf + 3070 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2596 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1626 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 10 inf + 1628 * * [misc]simplify: Extracting #7: cost 0 inf + 5740 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1627 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 1 * * [misc]simplify: Extracting #7: cost 11 inf + 85 * * [misc]simplify: Extracting #8: cost 9 inf + 369 * * [misc]simplify: Extracting #9: cost 3 inf + 1942 * * [misc]simplify: Extracting #10: cost 0 inf + 3070 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2596 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1628 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 10 inf + 1628 * * [misc]simplify: Extracting #7: cost 0 inf + 5740 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1629 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 1 * * [misc]simplify: Extracting #7: cost 11 inf + 85 * * [misc]simplify: Extracting #8: cost 9 inf + 369 * * [misc]simplify: Extracting #9: cost 3 inf + 1942 * * [misc]simplify: Extracting #10: cost 0 inf + 3070 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2596 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1630 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 10 inf + 1628 * * [misc]simplify: Extracting #7: cost 0 inf + 5740 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1631 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 1 * * [misc]simplify: Extracting #7: cost 16 inf + 85 * * [misc]simplify: Extracting #8: cost 11 inf + 1015 * * [misc]simplify: Extracting #9: cost 4 inf + 3312 * * [misc]simplify: Extracting #10: cost 0 inf + 5242 * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 87 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 12 inf + 1548 * * [misc]simplify: Extracting #7: cost 4 inf + 5052 * * [misc]simplify: Extracting #8: cost 0 inf + 7024 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1632 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 1 * * [misc]simplify: Extracting #7: cost 13 inf + 85 * * [misc]simplify: Extracting #8: cost 7 inf + 1337 * * [misc]simplify: Extracting #9: cost 2 inf + 2789 * * [misc]simplify: Extracting #10: cost 0 inf + 3794 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 87 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 12 inf + 1588 * * [misc]simplify: Extracting #7: cost 4 inf + 5092 * * [misc]simplify: Extracting #8: cost 0 inf + 7064 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1633 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 1781 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 250 * * [misc]simplify: Extracting #6: cost 6 inf + 1104 * * [misc]simplify: Extracting #7: cost 2 inf + 2636 * * [misc]simplify: Extracting #8: cost 0 inf + 3442 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1634 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 1 * * [misc]simplify: Extracting #7: cost 12 inf + 85 * * [misc]simplify: Extracting #8: cost 7 inf + 1015 * * [misc]simplify: Extracting #9: cost 1 inf + 2870 * * [misc]simplify: Extracting #10: cost 0 inf + 3312 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 87 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 12 inf + 1548 * * [misc]simplify: Extracting #7: cost 4 inf + 4892 * * [misc]simplify: Extracting #8: cost 0 inf + 6704 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1635 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 7 inf + 44 * * [misc]simplify: Extracting #8: cost 2 inf + 893 * * [misc]simplify: Extracting #9: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 2194 * * [misc]simplify: Extracting #7: cost 0 inf + 6182 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1636 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 1 * * [misc]simplify: Extracting #7: cost 12 inf + 85 * * [misc]simplify: Extracting #8: cost 7 inf + 1015 * * [misc]simplify: Extracting #9: cost 1 inf + 2870 * * [misc]simplify: Extracting #10: cost 0 inf + 3312 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 87 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 12 inf + 1548 * * [misc]simplify: Extracting #7: cost 4 inf + 4892 * * [misc]simplify: Extracting #8: cost 0 inf + 6704 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1637 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 2 inf + 893 * * [misc]simplify: Extracting #8: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 2194 * * [misc]simplify: Extracting #7: cost 0 inf + 6182 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1638 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 1 * * [misc]simplify: Extracting #7: cost 12 inf + 85 * * [misc]simplify: Extracting #8: cost 7 inf + 1015 * * [misc]simplify: Extracting #9: cost 1 inf + 2870 * * [misc]simplify: Extracting #10: cost 0 inf + 3312 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 87 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 12 inf + 1548 * * [misc]simplify: Extracting #7: cost 4 inf + 4892 * * [misc]simplify: Extracting #8: cost 0 inf + 6704 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1639 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 1175 * * [misc]simplify: Extracting #8: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 2194 * * [misc]simplify: Extracting #7: cost 0 inf + 6182 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1640 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 1 * * [misc]simplify: Extracting #7: cost 13 inf + 85 * * [misc]simplify: Extracting #8: cost 11 inf + 369 * * [misc]simplify: Extracting #9: cost 8 inf + 1095 * * [misc]simplify: Extracting #10: cost 1 inf + 3633 * * [misc]simplify: Extracting #11: cost 0 inf + 3996 * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1346 * * [misc]simplify: Extracting #7: cost 6 inf + 3322 * * [misc]simplify: Extracting #8: cost 0 inf + 5860 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1641 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 1 * * [misc]simplify: Extracting #7: cost 11 inf + 85 * * [misc]simplify: Extracting #8: cost 7 inf + 893 * * [misc]simplify: Extracting #9: cost 3 inf + 1942 * * [misc]simplify: Extracting #10: cost 0 inf + 3070 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2676 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1642 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 1 * * [misc]simplify: Extracting #7: cost 12 inf + 85 * * [misc]simplify: Extracting #8: cost 8 inf + 813 * * [misc]simplify: Extracting #9: cost 2 inf + 2587 * * [misc]simplify: Extracting #10: cost 0 inf + 3312 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 87 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1790 * * [misc]simplify: Extracting #7: cost 3 inf + 5134 * * [misc]simplify: Extracting #8: cost 0 inf + 6704 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1643 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 3 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 1339 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 3 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 2880 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1644 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1710 * * [misc]simplify: Extracting #7: cost 1 inf + 4696 * * [misc]simplify: Extracting #8: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1645 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 3 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 1339 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 3 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 2880 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1646 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1710 * * [misc]simplify: Extracting #7: cost 1 inf + 4696 * * [misc]simplify: Extracting #8: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1647 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 3 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 1339 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 3 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 2880 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1648 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1710 * * [misc]simplify: Extracting #7: cost 1 inf + 4696 * * [misc]simplify: Extracting #8: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1649 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 1 * * [misc]simplify: Extracting #7: cost 10 inf + 3 * * [misc]simplify: Extracting #8: cost 7 inf + 207 * * [misc]simplify: Extracting #9: cost 5 inf + 571 * * [misc]simplify: Extracting #10: cost 4 inf + 853 * * [misc]simplify: Extracting #11: cost 0 inf + 2184 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5338 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1650 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 7 inf + 3080 * * [misc]simplify: Extracting #7: cost 0 inf + 5740 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1651 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 2 inf + 893 * * [misc]simplify: Extracting #8: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 6 inf + 3202 * * [misc]simplify: Extracting #7: cost 0 inf + 6182 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1652 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1653 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt 1))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 413 * * [misc]simplify: Extracting #6: cost 3 inf + 1509 * * [misc]simplify: Extracting #7: cost 0 inf + 2479 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1654 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1655 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt 1))) (sqrt 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 413 * * [misc]simplify: Extracting #6: cost 3 inf + 1509 * * [misc]simplify: Extracting #7: cost 0 inf + 2479 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1656 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1657 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 413 * * [misc]simplify: Extracting #6: cost 3 inf + 1509 * * [misc]simplify: Extracting #7: cost 0 inf + 2479 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1658 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 1 * * [misc]simplify: Extracting #7: cost 13 inf + 85 * * [misc]simplify: Extracting #8: cost 11 inf + 369 * * [misc]simplify: Extracting #9: cost 8 inf + 1095 * * [misc]simplify: Extracting #10: cost 1 inf + 3633 * * [misc]simplify: Extracting #11: cost 0 inf + 3996 * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1346 * * [misc]simplify: Extracting #7: cost 6 inf + 3322 * * [misc]simplify: Extracting #8: cost 0 inf + 5860 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1659 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 1 * * [misc]simplify: Extracting #7: cost 11 inf + 85 * * [misc]simplify: Extracting #8: cost 7 inf + 893 * * [misc]simplify: Extracting #9: cost 3 inf + 1942 * * [misc]simplify: Extracting #10: cost 0 inf + 3070 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2676 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1660 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 1 * * [misc]simplify: Extracting #7: cost 12 inf + 85 * * [misc]simplify: Extracting #8: cost 8 inf + 813 * * [misc]simplify: Extracting #9: cost 2 inf + 2587 * * [misc]simplify: Extracting #10: cost 0 inf + 3312 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 87 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1790 * * [misc]simplify: Extracting #7: cost 3 inf + 5134 * * [misc]simplify: Extracting #8: cost 0 inf + 6704 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1661 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 3 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 1339 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 3 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 2880 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1662 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1710 * * [misc]simplify: Extracting #7: cost 1 inf + 4696 * * [misc]simplify: Extracting #8: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1663 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 3 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 1339 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 3 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 2880 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1664 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1710 * * [misc]simplify: Extracting #7: cost 1 inf + 4696 * * [misc]simplify: Extracting #8: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1665 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 3 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 1339 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 3 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 2880 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1666 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1710 * * [misc]simplify: Extracting #7: cost 1 inf + 4696 * * [misc]simplify: Extracting #8: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1667 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 1 * * [misc]simplify: Extracting #7: cost 8 inf + 85 * * [misc]simplify: Extracting #8: cost 6 inf + 369 * * [misc]simplify: Extracting #9: cost 5 inf + 571 * * [misc]simplify: Extracting #10: cost 1 inf + 1861 * * [misc]simplify: Extracting #11: cost 0 inf + 2184 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5338 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1668 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 7 inf + 3080 * * [misc]simplify: Extracting #7: cost 0 inf + 5740 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1669 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 2 inf + 893 * * [misc]simplify: Extracting #8: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 6 inf + 3202 * * [misc]simplify: Extracting #7: cost 0 inf + 6182 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1670 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1671 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt 1)) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 413 * * [misc]simplify: Extracting #6: cost 3 inf + 1509 * * [misc]simplify: Extracting #7: cost 0 inf + 2479 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1672 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1673 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 413 * * [misc]simplify: Extracting #6: cost 3 inf + 1509 * * [misc]simplify: Extracting #7: cost 0 inf + 2479 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1674 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1675 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 413 * * [misc]simplify: Extracting #6: cost 3 inf + 1509 * * [misc]simplify: Extracting #7: cost 0 inf + 2479 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1676 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 1 * * [misc]simplify: Extracting #7: cost 13 inf + 85 * * [misc]simplify: Extracting #8: cost 11 inf + 369 * * [misc]simplify: Extracting #9: cost 8 inf + 1095 * * [misc]simplify: Extracting #10: cost 1 inf + 3633 * * [misc]simplify: Extracting #11: cost 0 inf + 3996 * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1346 * * [misc]simplify: Extracting #7: cost 6 inf + 3322 * * [misc]simplify: Extracting #8: cost 0 inf + 5860 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1677 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 1 * * [misc]simplify: Extracting #7: cost 11 inf + 85 * * [misc]simplify: Extracting #8: cost 7 inf + 893 * * [misc]simplify: Extracting #9: cost 3 inf + 1942 * * [misc]simplify: Extracting #10: cost 0 inf + 3070 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2676 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1678 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 1 * * [misc]simplify: Extracting #7: cost 12 inf + 85 * * [misc]simplify: Extracting #8: cost 8 inf + 813 * * [misc]simplify: Extracting #9: cost 2 inf + 2587 * * [misc]simplify: Extracting #10: cost 0 inf + 3312 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 87 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1790 * * [misc]simplify: Extracting #7: cost 3 inf + 5134 * * [misc]simplify: Extracting #8: cost 0 inf + 6704 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1679 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 3 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 1339 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 3 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 2880 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1680 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1710 * * [misc]simplify: Extracting #7: cost 1 inf + 4696 * * [misc]simplify: Extracting #8: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1681 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 3 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 1339 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 3 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 2880 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1682 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1710 * * [misc]simplify: Extracting #7: cost 1 inf + 4696 * * [misc]simplify: Extracting #8: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1683 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 3 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 1339 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 3 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 2880 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1684 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1710 * * [misc]simplify: Extracting #7: cost 1 inf + 4696 * * [misc]simplify: Extracting #8: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1685 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1861 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5338 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1686 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 7 inf + 3080 * * [misc]simplify: Extracting #7: cost 0 inf + 5740 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1687 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 6 inf + 3202 * * [misc]simplify: Extracting #7: cost 0 inf + 6182 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1688 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1689 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) 1) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 413 * * [misc]simplify: Extracting #6: cost 3 inf + 1509 * * [misc]simplify: Extracting #7: cost 0 inf + 2479 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1690 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1691 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 413 * * [misc]simplify: Extracting #6: cost 3 inf + 1509 * * [misc]simplify: Extracting #7: cost 0 inf + 2479 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1692 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1693 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) 1) 1) * * [misc]simplify: iters left: 6 (4 enodes) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 413 * * [misc]simplify: Extracting #6: cost 3 inf + 1509 * * [misc]simplify: Extracting #7: cost 0 inf + 2479 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1694 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 2 * * [misc]simplify: Extracting #4: cost 10 inf + 3 * * [misc]simplify: Extracting #5: cost 12 inf + 3 * * [misc]simplify: Extracting #6: cost 14 inf + 3 * * [misc]simplify: Extracting #7: cost 12 inf + 5 * * [misc]simplify: Extracting #8: cost 9 inf + 209 * * [misc]simplify: Extracting #9: cost 1 inf + 2428 * * [misc]simplify: Extracting #10: cost 0 inf + 2791 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 250 * * [misc]simplify: Extracting #6: cost 5 inf + 1386 * * [misc]simplify: Extracting #7: cost 0 inf + 3482 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1695 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 1 * * [misc]simplify: Extracting #6: cost 19 inf + 1 * * [misc]simplify: Extracting #7: cost 17 inf + 3 * * [misc]simplify: Extracting #8: cost 14 inf + 207 * * [misc]simplify: Extracting #9: cost 10 inf + 1095 * * [misc]simplify: Extracting #10: cost 4 inf + 3110 * * [misc]simplify: Extracting #11: cost 0 inf + 4920 * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2716 * * [misc]simplify: Extracting #7: cost 0 inf + 6582 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1696 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 1 * * [misc]simplify: Extracting #7: cost 18 inf + 3 * * [misc]simplify: Extracting #8: cost 13 inf + 651 * * [misc]simplify: Extracting #9: cost 8 inf + 1862 * * [misc]simplify: Extracting #10: cost 4 inf + 3511 * * [misc]simplify: Extracting #11: cost 0 inf + 5242 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 87 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1830 * * [misc]simplify: Extracting #7: cost 3 inf + 5374 * * [misc]simplify: Extracting #8: cost 0 inf + 7024 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1697 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 1 * * [misc]simplify: Extracting #7: cost 15 inf + 3 * * [misc]simplify: Extracting #8: cost 12 inf + 207 * * [misc]simplify: Extracting #9: cost 9 inf + 813 * * [misc]simplify: Extracting #10: cost 3 inf + 2788 * * [misc]simplify: Extracting #11: cost 0 inf + 3996 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1386 * * [misc]simplify: Extracting #7: cost 6 inf + 3442 * * [misc]simplify: Extracting #8: cost 0 inf + 5860 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1698 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 1 * * [misc]simplify: Extracting #7: cost 8 inf + 44 * * [misc]simplify: Extracting #8: cost 6 inf + 207 * * [misc]simplify: Extracting #9: cost 4 inf + 571 * * [misc]simplify: Extracting #10: cost 2 inf + 1176 * * [misc]simplify: Extracting #11: cost 0 inf + 1861 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 1 inf + 4976 * * [misc]simplify: Extracting #8: cost 0 inf + 5338 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1699 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 1 * * [misc]simplify: Extracting #7: cost 15 inf + 3 * * [misc]simplify: Extracting #8: cost 12 inf + 207 * * [misc]simplify: Extracting #9: cost 9 inf + 813 * * [misc]simplify: Extracting #10: cost 3 inf + 2788 * * [misc]simplify: Extracting #11: cost 0 inf + 3996 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1386 * * [misc]simplify: Extracting #7: cost 6 inf + 3442 * * [misc]simplify: Extracting #8: cost 0 inf + 5860 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1700 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 1 * * [misc]simplify: Extracting #7: cost 8 inf + 44 * * [misc]simplify: Extracting #8: cost 4 inf + 571 * * [misc]simplify: Extracting #9: cost 2 inf + 1176 * * [misc]simplify: Extracting #10: cost 0 inf + 1861 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 1 inf + 4976 * * [misc]simplify: Extracting #8: cost 0 inf + 5338 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1701 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 1 * * [misc]simplify: Extracting #7: cost 15 inf + 3 * * [misc]simplify: Extracting #8: cost 12 inf + 207 * * [misc]simplify: Extracting #9: cost 9 inf + 813 * * [misc]simplify: Extracting #10: cost 3 inf + 2788 * * [misc]simplify: Extracting #11: cost 0 inf + 3996 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1386 * * [misc]simplify: Extracting #7: cost 6 inf + 3442 * * [misc]simplify: Extracting #8: cost 0 inf + 5860 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1702 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 1 * * [misc]simplify: Extracting #7: cost 9 inf + 3 * * [misc]simplify: Extracting #8: cost 4 inf + 571 * * [misc]simplify: Extracting #9: cost 1 inf + 1498 * * [misc]simplify: Extracting #10: cost 0 inf + 1861 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 1 inf + 4976 * * [misc]simplify: Extracting #8: cost 0 inf + 5338 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1703 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 1 * * [misc]simplify: Extracting #6: cost 19 inf + 1 * * [misc]simplify: Extracting #7: cost 17 inf + 3 * * [misc]simplify: Extracting #8: cost 14 inf + 207 * * [misc]simplify: Extracting #9: cost 10 inf + 1095 * * [misc]simplify: Extracting #10: cost 4 inf + 3110 * * [misc]simplify: Extracting #11: cost 0 inf + 4920 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2716 * * [misc]simplify: Extracting #7: cost 0 inf + 6582 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1704 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1861 * * [misc]simplify: Extracting #8: cost 0 inf + 1821 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 3 inf + 1870 * * [misc]simplify: Extracting #7: cost 0 inf + 3120 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1705 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 1 * * [misc]simplify: Extracting #7: cost 15 inf + 3 * * [misc]simplify: Extracting #8: cost 10 inf + 651 * * [misc]simplify: Extracting #9: cost 5 inf + 1861 * * [misc]simplify: Extracting #10: cost 0 inf + 3794 * [exit]simplify: Simplified to (/ 1 (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 87 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1870 * * [misc]simplify: Extracting #7: cost 3 inf + 5414 * * [misc]simplify: Extracting #8: cost 0 inf + 7064 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1706 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 1 * * [misc]simplify: Extracting #7: cost 13 inf + 3 * * [misc]simplify: Extracting #8: cost 10 inf + 207 * * [misc]simplify: Extracting #9: cost 6 inf + 1095 * * [misc]simplify: Extracting #10: cost 1 inf + 2668 * * [misc]simplify: Extracting #11: cost 0 inf + 3070 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2596 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1707 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 10 inf + 1628 * * [misc]simplify: Extracting #7: cost 0 inf + 5740 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1708 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 1 * * [misc]simplify: Extracting #7: cost 13 inf + 3 * * [misc]simplify: Extracting #8: cost 10 inf + 207 * * [misc]simplify: Extracting #9: cost 6 inf + 1095 * * [misc]simplify: Extracting #10: cost 1 inf + 2668 * * [misc]simplify: Extracting #11: cost 0 inf + 3070 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2596 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1709 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 10 inf + 1628 * * [misc]simplify: Extracting #7: cost 0 inf + 5740 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1710 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 1 * * [misc]simplify: Extracting #7: cost 13 inf + 3 * * [misc]simplify: Extracting #8: cost 10 inf + 207 * * [misc]simplify: Extracting #9: cost 6 inf + 1095 * * [misc]simplify: Extracting #10: cost 1 inf + 2668 * * [misc]simplify: Extracting #11: cost 0 inf + 3070 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2596 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1711 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 10 inf + 1628 * * [misc]simplify: Extracting #7: cost 0 inf + 5740 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1712 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 1 * * [misc]simplify: Extracting #7: cost 18 inf + 3 * * [misc]simplify: Extracting #8: cost 14 inf + 369 * * [misc]simplify: Extracting #9: cost 7 inf + 2144 * * [misc]simplify: Extracting #10: cost 1 inf + 4720 * * [misc]simplify: Extracting #11: cost 0 inf + 5242 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 87 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 12 inf + 1548 * * [misc]simplify: Extracting #7: cost 4 inf + 5052 * * [misc]simplify: Extracting #8: cost 0 inf + 7024 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1713 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 1 * * [misc]simplify: Extracting #7: cost 15 inf + 3 * * [misc]simplify: Extracting #8: cost 11 inf + 369 * * [misc]simplify: Extracting #9: cost 4 inf + 2143 * * [misc]simplify: Extracting #10: cost 0 inf + 3794 * [exit]simplify: Simplified to (/ 1 (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 87 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 12 inf + 1588 * * [misc]simplify: Extracting #7: cost 4 inf + 5092 * * [misc]simplify: Extracting #8: cost 0 inf + 7064 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (+ (* b d) (* a c)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1714 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 1781 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 11 inf + 250 * * [misc]simplify: Extracting #6: cost 6 inf + 1104 * * [misc]simplify: Extracting #7: cost 2 inf + 2636 * * [misc]simplify: Extracting #8: cost 0 inf + 3442 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1715 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 1 * * [misc]simplify: Extracting #7: cost 14 inf + 3 * * [misc]simplify: Extracting #8: cost 10 inf + 369 * * [misc]simplify: Extracting #9: cost 4 inf + 1781 * * [misc]simplify: Extracting #10: cost 0 inf + 3312 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 87 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 12 inf + 1548 * * [misc]simplify: Extracting #7: cost 4 inf + 4892 * * [misc]simplify: Extracting #8: cost 0 inf + 6704 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1716 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 8 inf + 3 * * [misc]simplify: Extracting #8: cost 2 inf + 893 * * [misc]simplify: Extracting #9: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 2194 * * [misc]simplify: Extracting #7: cost 0 inf + 6182 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1717 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 1 * * [misc]simplify: Extracting #7: cost 14 inf + 3 * * [misc]simplify: Extracting #8: cost 10 inf + 369 * * [misc]simplify: Extracting #9: cost 4 inf + 1781 * * [misc]simplify: Extracting #10: cost 0 inf + 3312 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 87 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 12 inf + 1548 * * [misc]simplify: Extracting #7: cost 4 inf + 4892 * * [misc]simplify: Extracting #8: cost 0 inf + 6704 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1718 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 8 inf + 3 * * [misc]simplify: Extracting #8: cost 1 inf + 1175 * * [misc]simplify: Extracting #9: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 2194 * * [misc]simplify: Extracting #7: cost 0 inf + 6182 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1719 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 1 * * [misc]simplify: Extracting #7: cost 14 inf + 3 * * [misc]simplify: Extracting #8: cost 10 inf + 369 * * [misc]simplify: Extracting #9: cost 4 inf + 1781 * * [misc]simplify: Extracting #10: cost 0 inf + 3312 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 87 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 12 inf + 1548 * * [misc]simplify: Extracting #7: cost 4 inf + 4892 * * [misc]simplify: Extracting #8: cost 0 inf + 6704 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1720 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 1175 * * [misc]simplify: Extracting #8: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 2194 * * [misc]simplify: Extracting #7: cost 0 inf + 6182 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1721 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 1 * * [misc]simplify: Extracting #7: cost 15 inf + 3 * * [misc]simplify: Extracting #8: cost 12 inf + 207 * * [misc]simplify: Extracting #9: cost 10 inf + 571 * * [misc]simplify: Extracting #10: cost 3 inf + 2788 * * [misc]simplify: Extracting #11: cost 0 inf + 3996 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1346 * * [misc]simplify: Extracting #7: cost 6 inf + 3322 * * [misc]simplify: Extracting #8: cost 0 inf + 5860 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1722 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 1 * * [misc]simplify: Extracting #7: cost 13 inf + 3 * * [misc]simplify: Extracting #8: cost 10 inf + 207 * * [misc]simplify: Extracting #9: cost 4 inf + 1700 * * [misc]simplify: Extracting #10: cost 1 inf + 2668 * * [misc]simplify: Extracting #11: cost 0 inf + 3070 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2676 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1723 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 1 * * [misc]simplify: Extracting #7: cost 14 inf + 3 * * [misc]simplify: Extracting #8: cost 11 inf + 207 * * [misc]simplify: Extracting #9: cost 5 inf + 1539 * * [misc]simplify: Extracting #10: cost 0 inf + 3312 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 87 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1790 * * [misc]simplify: Extracting #7: cost 3 inf + 5134 * * [misc]simplify: Extracting #8: cost 0 inf + 6704 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1724 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 3 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 1339 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 3 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 2880 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1725 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1710 * * [misc]simplify: Extracting #7: cost 1 inf + 4696 * * [misc]simplify: Extracting #8: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1726 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 3 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 1339 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 3 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 2880 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1727 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1710 * * [misc]simplify: Extracting #7: cost 1 inf + 4696 * * [misc]simplify: Extracting #8: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1728 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 3 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 1339 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 3 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 2880 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1729 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1710 * * [misc]simplify: Extracting #7: cost 1 inf + 4696 * * [misc]simplify: Extracting #8: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1730 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 1 * * [misc]simplify: Extracting #7: cost 8 inf + 85 * * [misc]simplify: Extracting #8: cost 6 inf + 369 * * [misc]simplify: Extracting #9: cost 5 inf + 571 * * [misc]simplify: Extracting #10: cost 1 inf + 1861 * * [misc]simplify: Extracting #11: cost 0 inf + 2184 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5338 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1731 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 7 inf + 3080 * * [misc]simplify: Extracting #7: cost 0 inf + 5740 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1732 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 2 inf + 893 * * [misc]simplify: Extracting #8: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 6 inf + 3202 * * [misc]simplify: Extracting #7: cost 0 inf + 6182 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1733 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1734 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 413 * * [misc]simplify: Extracting #6: cost 3 inf + 1509 * * [misc]simplify: Extracting #7: cost 0 inf + 2479 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1735 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1736 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 1))) (sqrt 1)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 413 * * [misc]simplify: Extracting #6: cost 3 inf + 1509 * * [misc]simplify: Extracting #7: cost 0 inf + 2479 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1737 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1738 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 413 * * [misc]simplify: Extracting #6: cost 3 inf + 1509 * * [misc]simplify: Extracting #7: cost 0 inf + 2479 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1739 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 1 * * [misc]simplify: Extracting #7: cost 15 inf + 3 * * [misc]simplify: Extracting #8: cost 12 inf + 207 * * [misc]simplify: Extracting #9: cost 10 inf + 571 * * [misc]simplify: Extracting #10: cost 3 inf + 2788 * * [misc]simplify: Extracting #11: cost 0 inf + 3996 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1346 * * [misc]simplify: Extracting #7: cost 6 inf + 3322 * * [misc]simplify: Extracting #8: cost 0 inf + 5860 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1740 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 1 * * [misc]simplify: Extracting #7: cost 13 inf + 3 * * [misc]simplify: Extracting #8: cost 10 inf + 207 * * [misc]simplify: Extracting #9: cost 4 inf + 1700 * * [misc]simplify: Extracting #10: cost 1 inf + 2668 * * [misc]simplify: Extracting #11: cost 0 inf + 3070 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2676 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1741 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 1 * * [misc]simplify: Extracting #7: cost 14 inf + 3 * * [misc]simplify: Extracting #8: cost 11 inf + 207 * * [misc]simplify: Extracting #9: cost 5 inf + 1539 * * [misc]simplify: Extracting #10: cost 0 inf + 3312 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 87 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1790 * * [misc]simplify: Extracting #7: cost 3 inf + 5134 * * [misc]simplify: Extracting #8: cost 0 inf + 6704 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1742 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 3 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 1339 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 3 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 2880 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1743 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1710 * * [misc]simplify: Extracting #7: cost 1 inf + 4696 * * [misc]simplify: Extracting #8: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1744 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 3 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 1339 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 3 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 2880 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1745 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1710 * * [misc]simplify: Extracting #7: cost 1 inf + 4696 * * [misc]simplify: Extracting #8: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1746 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 3 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 1339 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 3 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 2880 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1747 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1710 * * [misc]simplify: Extracting #7: cost 1 inf + 4696 * * [misc]simplify: Extracting #8: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1748 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 1 * * [misc]simplify: Extracting #7: cost 7 inf + 85 * * [misc]simplify: Extracting #8: cost 4 inf + 571 * * [misc]simplify: Extracting #9: cost 3 inf + 853 * * [misc]simplify: Extracting #10: cost 0 inf + 1861 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5338 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1749 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 7 inf + 3080 * * [misc]simplify: Extracting #7: cost 0 inf + 5740 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1750 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 1175 * * [misc]simplify: Extracting #8: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 6 inf + 3202 * * [misc]simplify: Extracting #7: cost 0 inf + 6182 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1751 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1752 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 413 * * [misc]simplify: Extracting #6: cost 3 inf + 1509 * * [misc]simplify: Extracting #7: cost 0 inf + 2479 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1753 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1754 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 413 * * [misc]simplify: Extracting #6: cost 3 inf + 1509 * * [misc]simplify: Extracting #7: cost 0 inf + 2479 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1755 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1756 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) 1) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 413 * * [misc]simplify: Extracting #6: cost 3 inf + 1509 * * [misc]simplify: Extracting #7: cost 0 inf + 2479 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1757 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 1 * * [misc]simplify: Extracting #7: cost 15 inf + 3 * * [misc]simplify: Extracting #8: cost 12 inf + 207 * * [misc]simplify: Extracting #9: cost 10 inf + 571 * * [misc]simplify: Extracting #10: cost 3 inf + 2788 * * [misc]simplify: Extracting #11: cost 0 inf + 3996 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1346 * * [misc]simplify: Extracting #7: cost 6 inf + 3322 * * [misc]simplify: Extracting #8: cost 0 inf + 5860 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1758 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 1 * * [misc]simplify: Extracting #7: cost 13 inf + 3 * * [misc]simplify: Extracting #8: cost 10 inf + 207 * * [misc]simplify: Extracting #9: cost 4 inf + 1700 * * [misc]simplify: Extracting #10: cost 1 inf + 2668 * * [misc]simplify: Extracting #11: cost 0 inf + 3070 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 8 inf + 2676 * * [misc]simplify: Extracting #7: cost 0 inf + 6262 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1759 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 16 inf + 1 * * [misc]simplify: Extracting #7: cost 14 inf + 3 * * [misc]simplify: Extracting #8: cost 11 inf + 207 * * [misc]simplify: Extracting #9: cost 5 inf + 1539 * * [misc]simplify: Extracting #10: cost 0 inf + 3312 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 87 * * [misc]simplify: Extracting #5: cost 17 inf + 416 * * [misc]simplify: Extracting #6: cost 11 inf + 1790 * * [misc]simplify: Extracting #7: cost 3 inf + 5134 * * [misc]simplify: Extracting #8: cost 0 inf + 6704 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1760 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 3 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 1339 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 3 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 2880 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1761 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1710 * * [misc]simplify: Extracting #7: cost 1 inf + 4696 * * [misc]simplify: Extracting #8: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1762 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 3 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 1339 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 3 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 2880 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1763 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1710 * * [misc]simplify: Extracting #7: cost 1 inf + 4696 * * [misc]simplify: Extracting #8: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1764 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 3 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 1339 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 10 inf + 250 * * [misc]simplify: Extracting #6: cost 3 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 2880 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1765 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1710 * * [misc]simplify: Extracting #7: cost 1 inf + 4696 * * [misc]simplify: Extracting #8: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1766 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1861 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5338 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1767 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 7 inf + 3080 * * [misc]simplify: Extracting #7: cost 0 inf + 5740 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1768 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 6 inf + 3202 * * [misc]simplify: Extracting #7: cost 0 inf + 6182 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1769 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1770 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 413 * * [misc]simplify: Extracting #6: cost 3 inf + 1509 * * [misc]simplify: Extracting #7: cost 0 inf + 2479 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1771 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1772 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 413 * * [misc]simplify: Extracting #6: cost 3 inf + 1509 * * [misc]simplify: Extracting #7: cost 0 inf + 2479 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1773 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1774 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 413 * * [misc]simplify: Extracting #6: cost 3 inf + 1509 * * [misc]simplify: Extracting #7: cost 0 inf + 2479 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1775 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 48 * * [misc]simplify: Extracting #5: cost 12 inf + 214 * * [misc]simplify: Extracting #6: cost 9 inf + 418 * * [misc]simplify: Extracting #7: cost 7 inf + 782 * * [misc]simplify: Extracting #8: cost 1 inf + 3000 * * [misc]simplify: Extracting #9: cost 0 inf + 3484 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 3 * * [misc]simplify: Extracting #7: cost 9 inf + 207 * * [misc]simplify: Extracting #8: cost 5 inf + 1056 * * [misc]simplify: Extracting #9: cost 0 inf + 2789 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1776 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 46 * * [misc]simplify: Extracting #5: cost 17 inf + 212 * * [misc]simplify: Extracting #6: cost 14 inf + 416 * * [misc]simplify: Extracting #7: cost 5 inf + 3076 * * [misc]simplify: Extracting #8: cost 0 inf + 5734 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 3 * * [misc]simplify: Extracting #6: cost 16 inf + 207 * * [misc]simplify: Extracting #7: cost 11 inf + 1298 * * [misc]simplify: Extracting #8: cost 4 inf + 4036 * * [misc]simplify: Extracting #9: cost 0 inf + 5526 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1777 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 46 * * [misc]simplify: Extracting #5: cost 18 inf + 212 * * [misc]simplify: Extracting #6: cost 15 inf + 416 * * [misc]simplify: Extracting #7: cost 8 inf + 2070 * * [misc]simplify: Extracting #8: cost 3 inf + 4406 * * [misc]simplify: Extracting #9: cost 0 inf + 6056 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 3 * * [misc]simplify: Extracting #6: cost 16 inf + 409 * * [misc]simplify: Extracting #7: cost 10 inf + 1823 * * [misc]simplify: Extracting #8: cost 1 inf + 5446 * * [misc]simplify: Extracting #9: cost 0 inf + 5968 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1778 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 4 * * [misc]simplify: Extracting #5: cost 16 inf + 88 * * [misc]simplify: Extracting #6: cost 12 inf + 416 * * [misc]simplify: Extracting #7: cost 9 inf + 1022 * * [misc]simplify: Extracting #8: cost 5 inf + 2554 * * [misc]simplify: Extracting #9: cost 0 inf + 4810 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 3 * * [misc]simplify: Extracting #6: cost 15 inf + 207 * * [misc]simplify: Extracting #7: cost 9 inf + 1620 * * [misc]simplify: Extracting #8: cost 0 inf + 4804 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1779 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 47 * * [misc]simplify: Extracting #5: cost 9 inf + 213 * * [misc]simplify: Extracting #6: cost 6 inf + 417 * * [misc]simplify: Extracting #7: cost 4 inf + 781 * * [misc]simplify: Extracting #8: cost 3 inf + 1063 * * [misc]simplify: Extracting #9: cost 0 inf + 2313 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 3 * * [misc]simplify: Extracting #6: cost 14 inf + 207 * * [misc]simplify: Extracting #7: cost 12 inf + 572 * * [misc]simplify: Extracting #8: cost 10 inf + 1056 * * [misc]simplify: Extracting #9: cost 1 inf + 3919 * * [misc]simplify: Extracting #10: cost 0 inf + 4282 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1780 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 4 * * [misc]simplify: Extracting #5: cost 16 inf + 88 * * [misc]simplify: Extracting #6: cost 12 inf + 416 * * [misc]simplify: Extracting #7: cost 9 inf + 1022 * * [misc]simplify: Extracting #8: cost 5 inf + 2554 * * [misc]simplify: Extracting #9: cost 0 inf + 4810 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 3 * * [misc]simplify: Extracting #6: cost 15 inf + 207 * * [misc]simplify: Extracting #7: cost 9 inf + 1620 * * [misc]simplify: Extracting #8: cost 0 inf + 4804 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1781 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 47 * * [misc]simplify: Extracting #5: cost 9 inf + 213 * * [misc]simplify: Extracting #6: cost 6 inf + 417 * * [misc]simplify: Extracting #7: cost 3 inf + 1063 * * [misc]simplify: Extracting #8: cost 1 inf + 1829 * * [misc]simplify: Extracting #9: cost 0 inf + 2313 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 3 * * [misc]simplify: Extracting #6: cost 14 inf + 207 * * [misc]simplify: Extracting #7: cost 12 inf + 572 * * [misc]simplify: Extracting #8: cost 10 inf + 1056 * * [misc]simplify: Extracting #9: cost 1 inf + 3919 * * [misc]simplify: Extracting #10: cost 0 inf + 4282 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1782 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 16 inf + 4 * * [misc]simplify: Extracting #5: cost 16 inf + 88 * * [misc]simplify: Extracting #6: cost 12 inf + 416 * * [misc]simplify: Extracting #7: cost 9 inf + 1022 * * [misc]simplify: Extracting #8: cost 5 inf + 2554 * * [misc]simplify: Extracting #9: cost 0 inf + 4810 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 3 * * [misc]simplify: Extracting #6: cost 15 inf + 207 * * [misc]simplify: Extracting #7: cost 9 inf + 1620 * * [misc]simplify: Extracting #8: cost 0 inf + 4804 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1783 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 47 * * [misc]simplify: Extracting #5: cost 9 inf + 213 * * [misc]simplify: Extracting #6: cost 6 inf + 417 * * [misc]simplify: Extracting #7: cost 4 inf + 781 * * [misc]simplify: Extracting #8: cost 3 inf + 1063 * * [misc]simplify: Extracting #9: cost 0 inf + 2313 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 3 * * [misc]simplify: Extracting #6: cost 14 inf + 207 * * [misc]simplify: Extracting #7: cost 12 inf + 572 * * [misc]simplify: Extracting #8: cost 10 inf + 1056 * * [misc]simplify: Extracting #9: cost 1 inf + 3919 * * [misc]simplify: Extracting #10: cost 0 inf + 4282 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1784 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 46 * * [misc]simplify: Extracting #5: cost 17 inf + 212 * * [misc]simplify: Extracting #6: cost 14 inf + 416 * * [misc]simplify: Extracting #7: cost 8 inf + 1868 * * [misc]simplify: Extracting #8: cost 2 inf + 4608 * * [misc]simplify: Extracting #9: cost 0 inf + 5734 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 3 * * [misc]simplify: Extracting #6: cost 16 inf + 207 * * [misc]simplify: Extracting #7: cost 11 inf + 1298 * * [misc]simplify: Extracting #8: cost 4 inf + 4036 * * [misc]simplify: Extracting #9: cost 0 inf + 5526 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1785 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 46 * * [misc]simplify: Extracting #5: cost 9 inf + 212 * * [misc]simplify: Extracting #6: cost 6 inf + 416 * * [misc]simplify: Extracting #7: cost 3 inf + 1102 * * [misc]simplify: Extracting #8: cost 0 inf + 2272 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 3 * * [misc]simplify: Extracting #7: cost 8 inf + 207 * * [misc]simplify: Extracting #8: cost 3 inf + 1419 * * [misc]simplify: Extracting #9: cost 0 inf + 2427 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1786 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 212 * * [misc]simplify: Extracting #6: cost 11 inf + 618 * * [misc]simplify: Extracting #7: cost 4 inf + 2514 * * [misc]simplify: Extracting #8: cost 0 inf + 4366 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 3 * * [misc]simplify: Extracting #6: cost 16 inf + 409 * * [misc]simplify: Extracting #7: cost 10 inf + 1863 * * [misc]simplify: Extracting #8: cost 1 inf + 5486 * * [misc]simplify: Extracting #9: cost 0 inf + 6008 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1787 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 46 * * [misc]simplify: Extracting #5: cost 13 inf + 212 * * [misc]simplify: Extracting #6: cost 10 inf + 416 * * [misc]simplify: Extracting #7: cost 6 inf + 1304 * * [misc]simplify: Extracting #8: cost 3 inf + 2272 * * [misc]simplify: Extracting #9: cost 0 inf + 3642 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 3 * * [misc]simplify: Extracting #6: cost 16 inf + 207 * * [misc]simplify: Extracting #7: cost 11 inf + 1298 * * [misc]simplify: Extracting #8: cost 4 inf + 3876 * * [misc]simplify: Extracting #9: cost 0 inf + 5206 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1788 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 47 * * [misc]simplify: Extracting #5: cost 8 inf + 213 * * [misc]simplify: Extracting #6: cost 5 inf + 417 * * [misc]simplify: Extracting #7: cost 2 inf + 1103 * * [misc]simplify: Extracting #8: cost 0 inf + 1829 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 3 * * [misc]simplify: Extracting #6: cost 15 inf + 207 * * [misc]simplify: Extracting #7: cost 9 inf + 1620 * * [misc]simplify: Extracting #8: cost 0 inf + 4684 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1789 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 46 * * [misc]simplify: Extracting #5: cost 13 inf + 212 * * [misc]simplify: Extracting #6: cost 10 inf + 416 * * [misc]simplify: Extracting #7: cost 6 inf + 1304 * * [misc]simplify: Extracting #8: cost 3 inf + 2272 * * [misc]simplify: Extracting #9: cost 0 inf + 3642 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 3 * * [misc]simplify: Extracting #6: cost 16 inf + 207 * * [misc]simplify: Extracting #7: cost 11 inf + 1298 * * [misc]simplify: Extracting #8: cost 4 inf + 3876 * * [misc]simplify: Extracting #9: cost 0 inf + 5206 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1790 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 47 * * [misc]simplify: Extracting #5: cost 8 inf + 213 * * [misc]simplify: Extracting #6: cost 5 inf + 417 * * [misc]simplify: Extracting #7: cost 2 inf + 1103 * * [misc]simplify: Extracting #8: cost 0 inf + 1829 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 3 * * [misc]simplify: Extracting #6: cost 15 inf + 207 * * [misc]simplify: Extracting #7: cost 9 inf + 1620 * * [misc]simplify: Extracting #8: cost 0 inf + 4684 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1791 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 46 * * [misc]simplify: Extracting #5: cost 13 inf + 212 * * [misc]simplify: Extracting #6: cost 10 inf + 416 * * [misc]simplify: Extracting #7: cost 6 inf + 1304 * * [misc]simplify: Extracting #8: cost 3 inf + 2272 * * [misc]simplify: Extracting #9: cost 0 inf + 3642 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 3 * * [misc]simplify: Extracting #6: cost 16 inf + 207 * * [misc]simplify: Extracting #7: cost 11 inf + 1298 * * [misc]simplify: Extracting #8: cost 4 inf + 3876 * * [misc]simplify: Extracting #9: cost 0 inf + 5206 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1792 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 47 * * [misc]simplify: Extracting #5: cost 8 inf + 213 * * [misc]simplify: Extracting #6: cost 5 inf + 417 * * [misc]simplify: Extracting #7: cost 2 inf + 1103 * * [misc]simplify: Extracting #8: cost 0 inf + 1829 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 3 * * [misc]simplify: Extracting #6: cost 15 inf + 207 * * [misc]simplify: Extracting #7: cost 9 inf + 1620 * * [misc]simplify: Extracting #8: cost 0 inf + 4684 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1793 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 46 * * [misc]simplify: Extracting #5: cost 18 inf + 212 * * [misc]simplify: Extracting #6: cost 15 inf + 416 * * [misc]simplify: Extracting #7: cost 9 inf + 1748 * * [misc]simplify: Extracting #8: cost 5 inf + 3600 * * [misc]simplify: Extracting #9: cost 1 inf + 5572 * * [misc]simplify: Extracting #10: cost 0 inf + 6056 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 3 * * [misc]simplify: Extracting #6: cost 17 inf + 207 * * [misc]simplify: Extracting #7: cost 10 inf + 1823 * * [misc]simplify: Extracting #8: cost 3 inf + 4561 * * [misc]simplify: Extracting #9: cost 0 inf + 5968 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1794 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 212 * * [misc]simplify: Extracting #6: cost 11 inf + 578 * * [misc]simplify: Extracting #7: cost 4 inf + 2514 * * [misc]simplify: Extracting #8: cost 0 inf + 4366 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 3 * * [misc]simplify: Extracting #6: cost 17 inf + 207 * * [misc]simplify: Extracting #7: cost 10 inf + 1863 * * [misc]simplify: Extracting #8: cost 3 inf + 4601 * * [misc]simplify: Extracting #9: cost 0 inf + 6008 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1795 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 46 * * [misc]simplify: Extracting #5: cost 6 inf + 416 * * [misc]simplify: Extracting #6: cost 1 inf + 1788 * * [misc]simplify: Extracting #7: cost 0 inf + 2232 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 3 * * [misc]simplify: Extracting #7: cost 9 inf + 207 * * [misc]simplify: Extracting #8: cost 5 inf + 1016 * * [misc]simplify: Extracting #9: cost 1 inf + 2387 * * [misc]simplify: Extracting #10: cost 0 inf + 2749 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1796 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 46 * * [misc]simplify: Extracting #5: cost 14 inf + 212 * * [misc]simplify: Extracting #6: cost 10 inf + 578 * * [misc]simplify: Extracting #7: cost 5 inf + 1748 * * [misc]simplify: Extracting #8: cost 0 inf + 3884 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 3 * * [misc]simplify: Extracting #6: cost 17 inf + 207 * * [misc]simplify: Extracting #7: cost 10 inf + 1743 * * [misc]simplify: Extracting #8: cost 3 inf + 4321 * * [misc]simplify: Extracting #9: cost 0 inf + 5648 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1797 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 47 * * [misc]simplify: Extracting #5: cost 8 inf + 213 * * [misc]simplify: Extracting #6: cost 5 inf + 417 * * [misc]simplify: Extracting #7: cost 1 inf + 1385 * * [misc]simplify: Extracting #8: cost 0 inf + 1829 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 3 * * [misc]simplify: Extracting #6: cost 16 inf + 207 * * [misc]simplify: Extracting #7: cost 11 inf + 1218 * * [misc]simplify: Extracting #8: cost 5 inf + 3154 * * [misc]simplify: Extracting #9: cost 0 inf + 5126 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1798 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 46 * * [misc]simplify: Extracting #5: cost 14 inf + 212 * * [misc]simplify: Extracting #6: cost 10 inf + 578 * * [misc]simplify: Extracting #7: cost 5 inf + 1748 * * [misc]simplify: Extracting #8: cost 0 inf + 3884 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 3 * * [misc]simplify: Extracting #6: cost 17 inf + 207 * * [misc]simplify: Extracting #7: cost 10 inf + 1743 * * [misc]simplify: Extracting #8: cost 3 inf + 4321 * * [misc]simplify: Extracting #9: cost 0 inf + 5648 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1799 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 47 * * [misc]simplify: Extracting #5: cost 8 inf + 213 * * [misc]simplify: Extracting #6: cost 5 inf + 417 * * [misc]simplify: Extracting #7: cost 2 inf + 1103 * * [misc]simplify: Extracting #8: cost 1 inf + 1385 * * [misc]simplify: Extracting #9: cost 0 inf + 1829 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 3 * * [misc]simplify: Extracting #6: cost 16 inf + 207 * * [misc]simplify: Extracting #7: cost 11 inf + 1218 * * [misc]simplify: Extracting #8: cost 5 inf + 3154 * * [misc]simplify: Extracting #9: cost 0 inf + 5126 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1800 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 46 * * [misc]simplify: Extracting #5: cost 14 inf + 212 * * [misc]simplify: Extracting #6: cost 10 inf + 578 * * [misc]simplify: Extracting #7: cost 5 inf + 1748 * * [misc]simplify: Extracting #8: cost 0 inf + 3884 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 3 * * [misc]simplify: Extracting #6: cost 17 inf + 207 * * [misc]simplify: Extracting #7: cost 10 inf + 1743 * * [misc]simplify: Extracting #8: cost 3 inf + 4321 * * [misc]simplify: Extracting #9: cost 0 inf + 5648 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1801 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 47 * * [misc]simplify: Extracting #5: cost 8 inf + 213 * * [misc]simplify: Extracting #6: cost 5 inf + 417 * * [misc]simplify: Extracting #7: cost 1 inf + 1385 * * [misc]simplify: Extracting #8: cost 0 inf + 1829 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 3 * * [misc]simplify: Extracting #6: cost 16 inf + 207 * * [misc]simplify: Extracting #7: cost 11 inf + 1218 * * [misc]simplify: Extracting #8: cost 5 inf + 3154 * * [misc]simplify: Extracting #9: cost 0 inf + 5126 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1802 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 212 * * [misc]simplify: Extracting #6: cost 12 inf + 416 * * [misc]simplify: Extracting #7: cost 10 inf + 780 * * [misc]simplify: Extracting #8: cost 5 inf + 2474 * * [misc]simplify: Extracting #9: cost 0 inf + 4810 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 3 * * [misc]simplify: Extracting #6: cost 15 inf + 207 * * [misc]simplify: Extracting #7: cost 9 inf + 1580 * * [misc]simplify: Extracting #8: cost 0 inf + 4804 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1803 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 46 * * [misc]simplify: Extracting #5: cost 13 inf + 212 * * [misc]simplify: Extracting #6: cost 10 inf + 416 * * [misc]simplify: Extracting #7: cost 5 inf + 1586 * * [misc]simplify: Extracting #8: cost 2 inf + 2676 * * [misc]simplify: Extracting #9: cost 0 inf + 3642 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 3 * * [misc]simplify: Extracting #6: cost 16 inf + 207 * * [misc]simplify: Extracting #7: cost 11 inf + 1258 * * [misc]simplify: Extracting #8: cost 4 inf + 3756 * * [misc]simplify: Extracting #9: cost 0 inf + 5206 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1804 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 46 * * [misc]simplify: Extracting #5: cost 14 inf + 212 * * [misc]simplify: Extracting #6: cost 11 inf + 416 * * [misc]simplify: Extracting #7: cost 6 inf + 1466 * * [misc]simplify: Extracting #8: cost 1 inf + 3280 * * [misc]simplify: Extracting #9: cost 0 inf + 3884 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 3 * * [misc]simplify: Extracting #6: cost 16 inf + 409 * * [misc]simplify: Extracting #7: cost 10 inf + 1823 * * [misc]simplify: Extracting #8: cost 1 inf + 5166 * * [misc]simplify: Extracting #9: cost 0 inf + 5648 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1805 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 10 inf + 46 * * [misc]simplify: Extracting #5: cost 5 inf + 416 * * [misc]simplify: Extracting #6: cost 3 inf + 780 * * [misc]simplify: Extracting #7: cost 0 inf + 1790 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 3 * * [misc]simplify: Extracting #7: cost 8 inf + 207 * * [misc]simplify: Extracting #8: cost 3 inf + 1299 * * [misc]simplify: Extracting #9: cost 0 inf + 2187 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1806 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 5 * * [misc]simplify: Extracting #5: cost 8 inf + 89 * * [misc]simplify: Extracting #6: cost 4 inf + 417 * * [misc]simplify: Extracting #7: cost 2 inf + 781 * * [misc]simplify: Extracting #8: cost 1 inf + 1023 * * [misc]simplify: Extracting #9: cost 0 inf + 1427 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 3 * * [misc]simplify: Extracting #6: cost 14 inf + 207 * * [misc]simplify: Extracting #7: cost 12 inf + 572 * * [misc]simplify: Extracting #8: cost 10 inf + 1016 * * [misc]simplify: Extracting #9: cost 1 inf + 3639 * * [misc]simplify: Extracting #10: cost 0 inf + 3962 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1807 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 10 inf + 46 * * [misc]simplify: Extracting #5: cost 5 inf + 416 * * [misc]simplify: Extracting #6: cost 3 inf + 780 * * [misc]simplify: Extracting #7: cost 0 inf + 1790 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 3 * * [misc]simplify: Extracting #7: cost 8 inf + 207 * * [misc]simplify: Extracting #8: cost 3 inf + 1299 * * [misc]simplify: Extracting #9: cost 0 inf + 2187 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1808 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 5 * * [misc]simplify: Extracting #5: cost 8 inf + 89 * * [misc]simplify: Extracting #6: cost 4 inf + 417 * * [misc]simplify: Extracting #7: cost 2 inf + 781 * * [misc]simplify: Extracting #8: cost 0 inf + 1427 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 3 * * [misc]simplify: Extracting #6: cost 14 inf + 207 * * [misc]simplify: Extracting #7: cost 12 inf + 572 * * [misc]simplify: Extracting #8: cost 10 inf + 1016 * * [misc]simplify: Extracting #9: cost 1 inf + 3639 * * [misc]simplify: Extracting #10: cost 0 inf + 3962 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1809 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 10 inf + 46 * * [misc]simplify: Extracting #5: cost 5 inf + 416 * * [misc]simplify: Extracting #6: cost 3 inf + 780 * * [misc]simplify: Extracting #7: cost 0 inf + 1790 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 3 * * [misc]simplify: Extracting #7: cost 8 inf + 207 * * [misc]simplify: Extracting #8: cost 3 inf + 1299 * * [misc]simplify: Extracting #9: cost 0 inf + 2187 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1810 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 47 * * [misc]simplify: Extracting #5: cost 7 inf + 213 * * [misc]simplify: Extracting #6: cost 4 inf + 417 * * [misc]simplify: Extracting #7: cost 2 inf + 781 * * [misc]simplify: Extracting #8: cost 0 inf + 1427 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 3 * * [misc]simplify: Extracting #6: cost 14 inf + 207 * * [misc]simplify: Extracting #7: cost 12 inf + 572 * * [misc]simplify: Extracting #8: cost 10 inf + 1016 * * [misc]simplify: Extracting #9: cost 1 inf + 3639 * * [misc]simplify: Extracting #10: cost 0 inf + 3962 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1811 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 5 * * [misc]simplify: Extracting #5: cost 10 inf + 89 * * [misc]simplify: Extracting #6: cost 6 inf + 417 * * [misc]simplify: Extracting #7: cost 4 inf + 781 * * [misc]simplify: Extracting #8: cost 3 inf + 1063 * * [misc]simplify: Extracting #9: cost 0 inf + 2313 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 3 * * [misc]simplify: Extracting #6: cost 14 inf + 207 * * [misc]simplify: Extracting #7: cost 4 inf + 2990 * * [misc]simplify: Extracting #8: cost 0 inf + 4282 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1812 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 47 * * [misc]simplify: Extracting #5: cost 8 inf + 213 * * [misc]simplify: Extracting #6: cost 5 inf + 417 * * [misc]simplify: Extracting #7: cost 3 inf + 821 * * [misc]simplify: Extracting #8: cost 0 inf + 1829 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 44 * * [misc]simplify: Extracting #6: cost 7 inf + 2186 * * [misc]simplify: Extracting #7: cost 0 inf + 4684 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1813 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 47 * * [misc]simplify: Extracting #5: cost 8 inf + 213 * * [misc]simplify: Extracting #6: cost 5 inf + 417 * * [misc]simplify: Extracting #7: cost 1 inf + 1385 * * [misc]simplify: Extracting #8: cost 0 inf + 1829 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 3 * * [misc]simplify: Extracting #6: cost 14 inf + 651 * * [misc]simplify: Extracting #7: cost 6 inf + 2910 * * [misc]simplify: Extracting #8: cost 0 inf + 5126 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1814 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 5 * * [misc]simplify: Extracting #5: cost 8 inf + 89 * * [misc]simplify: Extracting #6: cost 4 inf + 417 * * [misc]simplify: Extracting #7: cost 2 inf + 781 * * [misc]simplify: Extracting #8: cost 1 inf + 1023 * * [misc]simplify: Extracting #9: cost 0 inf + 1427 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 3 * * [misc]simplify: Extracting #6: cost 14 inf + 207 * * [misc]simplify: Extracting #7: cost 4 inf + 2790 * * [misc]simplify: Extracting #8: cost 0 inf + 3962 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1815 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt 1))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 47 * * [misc]simplify: Extracting #4: cost 0 inf + 213 * [exit]simplify: Simplified to (+ (* b d) (* a c)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (+ (* b d) (* a c)) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 2 * * [misc]simplify: Extracting #5: cost 10 inf + 4 * * [misc]simplify: Extracting #6: cost 6 inf + 370 * * [misc]simplify: Extracting #7: cost 1 inf + 1543 * * [misc]simplify: Extracting #8: cost 0 inf + 1786 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (+ (* b d) (* a c)) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1816 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 5 * * [misc]simplify: Extracting #5: cost 8 inf + 89 * * [misc]simplify: Extracting #6: cost 4 inf + 417 * * [misc]simplify: Extracting #7: cost 2 inf + 781 * * [misc]simplify: Extracting #8: cost 1 inf + 1023 * * [misc]simplify: Extracting #9: cost 0 inf + 1427 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 3 * * [misc]simplify: Extracting #6: cost 14 inf + 207 * * [misc]simplify: Extracting #7: cost 4 inf + 2790 * * [misc]simplify: Extracting #8: cost 0 inf + 3962 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1817 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt 1))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 47 * * [misc]simplify: Extracting #4: cost 0 inf + 213 * [exit]simplify: Simplified to (+ (* b d) (* a c)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (+ (* b d) (* a c)) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 2 * * [misc]simplify: Extracting #5: cost 10 inf + 4 * * [misc]simplify: Extracting #6: cost 6 inf + 370 * * [misc]simplify: Extracting #7: cost 1 inf + 1543 * * [misc]simplify: Extracting #8: cost 0 inf + 1786 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (+ (* b d) (* a c)) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1818 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 5 * * [misc]simplify: Extracting #5: cost 8 inf + 89 * * [misc]simplify: Extracting #6: cost 4 inf + 417 * * [misc]simplify: Extracting #7: cost 2 inf + 781 * * [misc]simplify: Extracting #8: cost 1 inf + 1023 * * [misc]simplify: Extracting #9: cost 0 inf + 1427 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 3 * * [misc]simplify: Extracting #6: cost 14 inf + 207 * * [misc]simplify: Extracting #7: cost 4 inf + 2790 * * [misc]simplify: Extracting #8: cost 0 inf + 3962 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1819 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 47 * * [misc]simplify: Extracting #4: cost 0 inf + 213 * [exit]simplify: Simplified to (+ (* b d) (* a c)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (+ (* b d) (* a c)) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 2 * * [misc]simplify: Extracting #5: cost 10 inf + 4 * * [misc]simplify: Extracting #6: cost 6 inf + 370 * * [misc]simplify: Extracting #7: cost 1 inf + 1543 * * [misc]simplify: Extracting #8: cost 0 inf + 1786 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (+ (* b d) (* a c)) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1820 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 212 * * [misc]simplify: Extracting #6: cost 12 inf + 416 * * [misc]simplify: Extracting #7: cost 10 inf + 780 * * [misc]simplify: Extracting #8: cost 5 inf + 2474 * * [misc]simplify: Extracting #9: cost 0 inf + 4810 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 3 * * [misc]simplify: Extracting #6: cost 15 inf + 207 * * [misc]simplify: Extracting #7: cost 9 inf + 1580 * * [misc]simplify: Extracting #8: cost 0 inf + 4804 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1821 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 46 * * [misc]simplify: Extracting #5: cost 13 inf + 212 * * [misc]simplify: Extracting #6: cost 10 inf + 416 * * [misc]simplify: Extracting #7: cost 5 inf + 1586 * * [misc]simplify: Extracting #8: cost 2 inf + 2676 * * [misc]simplify: Extracting #9: cost 0 inf + 3642 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 3 * * [misc]simplify: Extracting #6: cost 16 inf + 207 * * [misc]simplify: Extracting #7: cost 11 inf + 1258 * * [misc]simplify: Extracting #8: cost 4 inf + 3756 * * [misc]simplify: Extracting #9: cost 0 inf + 5206 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1822 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 46 * * [misc]simplify: Extracting #5: cost 14 inf + 212 * * [misc]simplify: Extracting #6: cost 11 inf + 416 * * [misc]simplify: Extracting #7: cost 6 inf + 1466 * * [misc]simplify: Extracting #8: cost 1 inf + 3280 * * [misc]simplify: Extracting #9: cost 0 inf + 3884 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 3 * * [misc]simplify: Extracting #6: cost 16 inf + 409 * * [misc]simplify: Extracting #7: cost 10 inf + 1823 * * [misc]simplify: Extracting #8: cost 1 inf + 5166 * * [misc]simplify: Extracting #9: cost 0 inf + 5648 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1823 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 10 inf + 46 * * [misc]simplify: Extracting #5: cost 5 inf + 416 * * [misc]simplify: Extracting #6: cost 3 inf + 780 * * [misc]simplify: Extracting #7: cost 0 inf + 1790 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 3 * * [misc]simplify: Extracting #7: cost 8 inf + 207 * * [misc]simplify: Extracting #8: cost 3 inf + 1299 * * [misc]simplify: Extracting #9: cost 0 inf + 2187 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1824 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 5 * * [misc]simplify: Extracting #5: cost 8 inf + 89 * * [misc]simplify: Extracting #6: cost 4 inf + 417 * * [misc]simplify: Extracting #7: cost 2 inf + 781 * * [misc]simplify: Extracting #8: cost 1 inf + 1023 * * [misc]simplify: Extracting #9: cost 0 inf + 1427 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 3 * * [misc]simplify: Extracting #6: cost 14 inf + 207 * * [misc]simplify: Extracting #7: cost 12 inf + 572 * * [misc]simplify: Extracting #8: cost 10 inf + 1016 * * [misc]simplify: Extracting #9: cost 1 inf + 3639 * * [misc]simplify: Extracting #10: cost 0 inf + 3962 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1825 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 10 inf + 46 * * [misc]simplify: Extracting #5: cost 5 inf + 416 * * [misc]simplify: Extracting #6: cost 3 inf + 780 * * [misc]simplify: Extracting #7: cost 0 inf + 1790 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 3 * * [misc]simplify: Extracting #7: cost 8 inf + 207 * * [misc]simplify: Extracting #8: cost 3 inf + 1299 * * [misc]simplify: Extracting #9: cost 0 inf + 2187 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1826 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 5 * * [misc]simplify: Extracting #5: cost 8 inf + 89 * * [misc]simplify: Extracting #6: cost 4 inf + 417 * * [misc]simplify: Extracting #7: cost 2 inf + 781 * * [misc]simplify: Extracting #8: cost 0 inf + 1427 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 3 * * [misc]simplify: Extracting #6: cost 14 inf + 207 * * [misc]simplify: Extracting #7: cost 12 inf + 572 * * [misc]simplify: Extracting #8: cost 10 inf + 1016 * * [misc]simplify: Extracting #9: cost 1 inf + 3639 * * [misc]simplify: Extracting #10: cost 0 inf + 3962 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1827 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 10 inf + 46 * * [misc]simplify: Extracting #5: cost 5 inf + 416 * * [misc]simplify: Extracting #6: cost 3 inf + 780 * * [misc]simplify: Extracting #7: cost 0 inf + 1790 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 3 * * [misc]simplify: Extracting #7: cost 8 inf + 207 * * [misc]simplify: Extracting #8: cost 3 inf + 1299 * * [misc]simplify: Extracting #9: cost 0 inf + 2187 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1828 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 47 * * [misc]simplify: Extracting #5: cost 7 inf + 213 * * [misc]simplify: Extracting #6: cost 4 inf + 417 * * [misc]simplify: Extracting #7: cost 2 inf + 781 * * [misc]simplify: Extracting #8: cost 0 inf + 1427 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 3 * * [misc]simplify: Extracting #6: cost 14 inf + 207 * * [misc]simplify: Extracting #7: cost 12 inf + 572 * * [misc]simplify: Extracting #8: cost 10 inf + 1016 * * [misc]simplify: Extracting #9: cost 1 inf + 3639 * * [misc]simplify: Extracting #10: cost 0 inf + 3962 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1829 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 47 * * [misc]simplify: Extracting #5: cost 9 inf + 213 * * [misc]simplify: Extracting #6: cost 7 inf + 295 * * [misc]simplify: Extracting #7: cost 5 inf + 579 * * [misc]simplify: Extracting #8: cost 3 inf + 1063 * * [misc]simplify: Extracting #9: cost 1 inf + 1829 * * [misc]simplify: Extracting #10: cost 0 inf + 2313 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 3 * * [misc]simplify: Extracting #6: cost 14 inf + 207 * * [misc]simplify: Extracting #7: cost 4 inf + 2990 * * [misc]simplify: Extracting #8: cost 0 inf + 4282 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1830 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 47 * * [misc]simplify: Extracting #5: cost 8 inf + 213 * * [misc]simplify: Extracting #6: cost 6 inf + 295 * * [misc]simplify: Extracting #7: cost 4 inf + 579 * * [misc]simplify: Extracting #8: cost 1 inf + 1385 * * [misc]simplify: Extracting #9: cost 0 inf + 1829 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 44 * * [misc]simplify: Extracting #6: cost 7 inf + 2186 * * [misc]simplify: Extracting #7: cost 0 inf + 4684 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1831 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 47 * * [misc]simplify: Extracting #5: cost 8 inf + 213 * * [misc]simplify: Extracting #6: cost 6 inf + 295 * * [misc]simplify: Extracting #7: cost 3 inf + 861 * * [misc]simplify: Extracting #8: cost 1 inf + 1385 * * [misc]simplify: Extracting #9: cost 0 inf + 1829 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 3 * * [misc]simplify: Extracting #6: cost 14 inf + 651 * * [misc]simplify: Extracting #7: cost 6 inf + 2910 * * [misc]simplify: Extracting #8: cost 0 inf + 5126 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1832 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 5 * * [misc]simplify: Extracting #5: cost 8 inf + 89 * * [misc]simplify: Extracting #6: cost 5 inf + 295 * * [misc]simplify: Extracting #7: cost 3 inf + 579 * * [misc]simplify: Extracting #8: cost 2 inf + 781 * * [misc]simplify: Extracting #9: cost 0 inf + 1427 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 3 * * [misc]simplify: Extracting #6: cost 14 inf + 207 * * [misc]simplify: Extracting #7: cost 4 inf + 2790 * * [misc]simplify: Extracting #8: cost 0 inf + 3962 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1833 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt 1)) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 47 * * [misc]simplify: Extracting #4: cost 0 inf + 213 * [exit]simplify: Simplified to (+ (* b d) (* a c)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (+ (* b d) (* a c)) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 2 * * [misc]simplify: Extracting #5: cost 10 inf + 4 * * [misc]simplify: Extracting #6: cost 6 inf + 370 * * [misc]simplify: Extracting #7: cost 1 inf + 1543 * * [misc]simplify: Extracting #8: cost 0 inf + 1786 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (+ (* b d) (* a c)) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1834 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 5 * * [misc]simplify: Extracting #5: cost 8 inf + 89 * * [misc]simplify: Extracting #6: cost 5 inf + 295 * * [misc]simplify: Extracting #7: cost 3 inf + 579 * * [misc]simplify: Extracting #8: cost 2 inf + 781 * * [misc]simplify: Extracting #9: cost 0 inf + 1427 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 3 * * [misc]simplify: Extracting #6: cost 14 inf + 207 * * [misc]simplify: Extracting #7: cost 4 inf + 2790 * * [misc]simplify: Extracting #8: cost 0 inf + 3962 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1835 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 47 * * [misc]simplify: Extracting #4: cost 0 inf + 213 * [exit]simplify: Simplified to (+ (* b d) (* a c)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (+ (* b d) (* a c)) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 2 * * [misc]simplify: Extracting #5: cost 10 inf + 4 * * [misc]simplify: Extracting #6: cost 6 inf + 370 * * [misc]simplify: Extracting #7: cost 1 inf + 1543 * * [misc]simplify: Extracting #8: cost 0 inf + 1786 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (+ (* b d) (* a c)) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1836 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 5 * * [misc]simplify: Extracting #5: cost 8 inf + 89 * * [misc]simplify: Extracting #6: cost 5 inf + 295 * * [misc]simplify: Extracting #7: cost 3 inf + 579 * * [misc]simplify: Extracting #8: cost 2 inf + 781 * * [misc]simplify: Extracting #9: cost 0 inf + 1427 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 3 * * [misc]simplify: Extracting #6: cost 14 inf + 207 * * [misc]simplify: Extracting #7: cost 4 inf + 2790 * * [misc]simplify: Extracting #8: cost 0 inf + 3962 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1837 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 47 * * [misc]simplify: Extracting #4: cost 0 inf + 213 * [exit]simplify: Simplified to (+ (* b d) (* a c)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (+ (* b d) (* a c)) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 2 * * [misc]simplify: Extracting #5: cost 10 inf + 4 * * [misc]simplify: Extracting #6: cost 6 inf + 370 * * [misc]simplify: Extracting #7: cost 1 inf + 1543 * * [misc]simplify: Extracting #8: cost 0 inf + 1786 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (+ (* b d) (* a c)) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1838 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 46 * * [misc]simplify: Extracting #5: cost 15 inf + 212 * * [misc]simplify: Extracting #6: cost 12 inf + 416 * * [misc]simplify: Extracting #7: cost 10 inf + 780 * * [misc]simplify: Extracting #8: cost 5 inf + 2474 * * [misc]simplify: Extracting #9: cost 0 inf + 4810 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 3 * * [misc]simplify: Extracting #6: cost 15 inf + 207 * * [misc]simplify: Extracting #7: cost 9 inf + 1580 * * [misc]simplify: Extracting #8: cost 0 inf + 4804 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1839 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 46 * * [misc]simplify: Extracting #5: cost 13 inf + 212 * * [misc]simplify: Extracting #6: cost 10 inf + 416 * * [misc]simplify: Extracting #7: cost 5 inf + 1586 * * [misc]simplify: Extracting #8: cost 2 inf + 2676 * * [misc]simplify: Extracting #9: cost 0 inf + 3642 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 3 * * [misc]simplify: Extracting #6: cost 16 inf + 207 * * [misc]simplify: Extracting #7: cost 11 inf + 1258 * * [misc]simplify: Extracting #8: cost 4 inf + 3756 * * [misc]simplify: Extracting #9: cost 0 inf + 5206 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1840 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 46 * * [misc]simplify: Extracting #5: cost 14 inf + 212 * * [misc]simplify: Extracting #6: cost 11 inf + 416 * * [misc]simplify: Extracting #7: cost 6 inf + 1466 * * [misc]simplify: Extracting #8: cost 1 inf + 3280 * * [misc]simplify: Extracting #9: cost 0 inf + 3884 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 3 * * [misc]simplify: Extracting #6: cost 16 inf + 409 * * [misc]simplify: Extracting #7: cost 10 inf + 1823 * * [misc]simplify: Extracting #8: cost 1 inf + 5166 * * [misc]simplify: Extracting #9: cost 0 inf + 5648 * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1841 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 10 inf + 46 * * [misc]simplify: Extracting #5: cost 5 inf + 416 * * [misc]simplify: Extracting #6: cost 3 inf + 780 * * [misc]simplify: Extracting #7: cost 0 inf + 1790 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 3 * * [misc]simplify: Extracting #7: cost 8 inf + 207 * * [misc]simplify: Extracting #8: cost 3 inf + 1299 * * [misc]simplify: Extracting #9: cost 0 inf + 2187 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1842 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 5 * * [misc]simplify: Extracting #5: cost 8 inf + 89 * * [misc]simplify: Extracting #6: cost 4 inf + 417 * * [misc]simplify: Extracting #7: cost 2 inf + 781 * * [misc]simplify: Extracting #8: cost 1 inf + 1023 * * [misc]simplify: Extracting #9: cost 0 inf + 1427 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 3 * * [misc]simplify: Extracting #6: cost 14 inf + 207 * * [misc]simplify: Extracting #7: cost 12 inf + 572 * * [misc]simplify: Extracting #8: cost 10 inf + 1016 * * [misc]simplify: Extracting #9: cost 1 inf + 3639 * * [misc]simplify: Extracting #10: cost 0 inf + 3962 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1843 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 10 inf + 46 * * [misc]simplify: Extracting #5: cost 5 inf + 416 * * [misc]simplify: Extracting #6: cost 3 inf + 780 * * [misc]simplify: Extracting #7: cost 0 inf + 1790 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 3 * * [misc]simplify: Extracting #7: cost 8 inf + 207 * * [misc]simplify: Extracting #8: cost 3 inf + 1299 * * [misc]simplify: Extracting #9: cost 0 inf + 2187 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1844 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 5 * * [misc]simplify: Extracting #5: cost 8 inf + 89 * * [misc]simplify: Extracting #6: cost 4 inf + 417 * * [misc]simplify: Extracting #7: cost 2 inf + 781 * * [misc]simplify: Extracting #8: cost 0 inf + 1427 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 3 * * [misc]simplify: Extracting #6: cost 14 inf + 207 * * [misc]simplify: Extracting #7: cost 12 inf + 572 * * [misc]simplify: Extracting #8: cost 10 inf + 1016 * * [misc]simplify: Extracting #9: cost 1 inf + 3639 * * [misc]simplify: Extracting #10: cost 0 inf + 3962 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1845 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 10 inf + 46 * * [misc]simplify: Extracting #5: cost 5 inf + 416 * * [misc]simplify: Extracting #6: cost 3 inf + 780 * * [misc]simplify: Extracting #7: cost 0 inf + 1790 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 3 * * [misc]simplify: Extracting #7: cost 8 inf + 207 * * [misc]simplify: Extracting #8: cost 3 inf + 1299 * * [misc]simplify: Extracting #9: cost 0 inf + 2187 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1846 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 47 * * [misc]simplify: Extracting #5: cost 7 inf + 213 * * [misc]simplify: Extracting #6: cost 4 inf + 417 * * [misc]simplify: Extracting #7: cost 2 inf + 781 * * [misc]simplify: Extracting #8: cost 0 inf + 1427 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 3 * * [misc]simplify: Extracting #6: cost 14 inf + 207 * * [misc]simplify: Extracting #7: cost 12 inf + 572 * * [misc]simplify: Extracting #8: cost 10 inf + 1016 * * [misc]simplify: Extracting #9: cost 1 inf + 3639 * * [misc]simplify: Extracting #10: cost 0 inf + 3962 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1847 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 47 * * [misc]simplify: Extracting #5: cost 9 inf + 213 * * [misc]simplify: Extracting #6: cost 6 inf + 417 * * [misc]simplify: Extracting #7: cost 4 inf + 781 * * [misc]simplify: Extracting #8: cost 3 inf + 1063 * * [misc]simplify: Extracting #9: cost 0 inf + 2313 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 3 * * [misc]simplify: Extracting #6: cost 14 inf + 207 * * [misc]simplify: Extracting #7: cost 4 inf + 2990 * * [misc]simplify: Extracting #8: cost 0 inf + 4282 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1848 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 47 * * [misc]simplify: Extracting #5: cost 8 inf + 213 * * [misc]simplify: Extracting #6: cost 5 inf + 417 * * [misc]simplify: Extracting #7: cost 2 inf + 1103 * * [misc]simplify: Extracting #8: cost 0 inf + 1829 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 20 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 44 * * [misc]simplify: Extracting #6: cost 7 inf + 2186 * * [misc]simplify: Extracting #7: cost 0 inf + 4684 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1849 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 47 * * [misc]simplify: Extracting #5: cost 8 inf + 213 * * [misc]simplify: Extracting #6: cost 5 inf + 417 * * [misc]simplify: Extracting #7: cost 1 inf + 1385 * * [misc]simplify: Extracting #8: cost 0 inf + 1829 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 3 * * [misc]simplify: Extracting #6: cost 14 inf + 651 * * [misc]simplify: Extracting #7: cost 6 inf + 2910 * * [misc]simplify: Extracting #8: cost 0 inf + 5126 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1850 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 47 * * [misc]simplify: Extracting #5: cost 7 inf + 213 * * [misc]simplify: Extracting #6: cost 4 inf + 417 * * [misc]simplify: Extracting #7: cost 2 inf + 781 * * [misc]simplify: Extracting #8: cost 0 inf + 1427 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 3 * * [misc]simplify: Extracting #6: cost 14 inf + 207 * * [misc]simplify: Extracting #7: cost 4 inf + 2790 * * [misc]simplify: Extracting #8: cost 0 inf + 3962 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1851 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) 1) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 47 * * [misc]simplify: Extracting #4: cost 0 inf + 213 * [exit]simplify: Simplified to (+ (* b d) (* a c)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (+ (* b d) (* a c)) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 2 * * [misc]simplify: Extracting #5: cost 10 inf + 4 * * [misc]simplify: Extracting #6: cost 6 inf + 370 * * [misc]simplify: Extracting #7: cost 1 inf + 1543 * * [misc]simplify: Extracting #8: cost 0 inf + 1786 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (+ (* b d) (* a c)) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1852 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 47 * * [misc]simplify: Extracting #5: cost 7 inf + 213 * * [misc]simplify: Extracting #6: cost 4 inf + 417 * * [misc]simplify: Extracting #7: cost 2 inf + 781 * * [misc]simplify: Extracting #8: cost 0 inf + 1427 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 3 * * [misc]simplify: Extracting #6: cost 14 inf + 207 * * [misc]simplify: Extracting #7: cost 4 inf + 2790 * * [misc]simplify: Extracting #8: cost 0 inf + 3962 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1853 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 47 * * [misc]simplify: Extracting #4: cost 0 inf + 213 * [exit]simplify: Simplified to (+ (* b d) (* a c)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (+ (* b d) (* a c)) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 2 * * [misc]simplify: Extracting #5: cost 10 inf + 4 * * [misc]simplify: Extracting #6: cost 6 inf + 370 * * [misc]simplify: Extracting #7: cost 1 inf + 1543 * * [misc]simplify: Extracting #8: cost 0 inf + 1786 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (+ (* b d) (* a c)) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1854 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 47 * * [misc]simplify: Extracting #5: cost 7 inf + 213 * * [misc]simplify: Extracting #6: cost 4 inf + 417 * * [misc]simplify: Extracting #7: cost 2 inf + 781 * * [misc]simplify: Extracting #8: cost 0 inf + 1427 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 17 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 3 * * [misc]simplify: Extracting #6: cost 14 inf + 207 * * [misc]simplify: Extracting #7: cost 4 inf + 2790 * * [misc]simplify: Extracting #8: cost 0 inf + 3962 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1855 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) 1) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 47 * * [misc]simplify: Extracting #4: cost 0 inf + 213 * [exit]simplify: Simplified to (+ (* b d) (* a c)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (+ (* b d) (* a c)) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 2 * * [misc]simplify: Extracting #5: cost 10 inf + 4 * * [misc]simplify: Extracting #6: cost 6 inf + 370 * * [misc]simplify: Extracting #7: cost 1 inf + 1543 * * [misc]simplify: Extracting #8: cost 0 inf + 1786 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (+ (* b d) (* a c)) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1856 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 1 * * [misc]simplify: Extracting #4: cost 28 inf + 2 * * [misc]simplify: Extracting #5: cost 32 inf + 48 * * [misc]simplify: Extracting #6: cost 22 inf + 994 * * [misc]simplify: Extracting #7: cost 15 inf + 1994 * * [misc]simplify: Extracting #8: cost 6 inf + 6502 * * [misc]simplify: Extracting #9: cost 0 inf + 9440 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 107 inf + 0 * * [misc]simplify: Extracting #5: cost 108 inf + 1707 * * [misc]simplify: Extracting #6: cost 26 inf + 14744 * * [misc]simplify: Extracting #7: cost 0 inf + 19355 * * [misc]simplify: Extracting #8: cost 0 inf + 19195 * [exit]simplify: Simplified to (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1857 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 30 inf + 0 * * [misc]simplify: Extracting #3: cost 37 inf + 0 * * [misc]simplify: Extracting #4: cost 43 inf + 46 * * [misc]simplify: Extracting #5: cost 33 inf + 1115 * * [misc]simplify: Extracting #6: cost 17 inf + 5871 * * [misc]simplify: Extracting #7: cost 5 inf + 13076 * * [misc]simplify: Extracting #8: cost 0 inf + 15628 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* c (* c c)) (* c (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* c (* c c)) (* c (* c c))))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 109 inf + 0 * * [misc]simplify: Extracting #5: cost 111 inf + 1501 * * [misc]simplify: Extracting #6: cost 48 inf + 11539 * * [misc]simplify: Extracting #7: cost 0 inf + 20115 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1858 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 29 inf + 0 * * [misc]simplify: Extracting #3: cost 38 inf + 0 * * [misc]simplify: Extracting #4: cost 44 inf + 46 * * [misc]simplify: Extracting #5: cost 32 inf + 1277 * * [misc]simplify: Extracting #6: cost 19 inf + 4614 * * [misc]simplify: Extracting #7: cost 5 inf + 13118 * * [misc]simplify: Extracting #8: cost 0 inf + 16110 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 110 inf + 0 * * [misc]simplify: Extracting #5: cost 101 inf + 3121 * * [misc]simplify: Extracting #6: cost 28 inf + 15541 * * [misc]simplify: Extracting #7: cost 2 inf + 19913 * * [misc]simplify: Extracting #8: cost 0 inf + 20397 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1859 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 28 inf + 0 * * [misc]simplify: Extracting #3: cost 35 inf + 0 * * [misc]simplify: Extracting #4: cost 41 inf + 46 * * [misc]simplify: Extracting #5: cost 30 inf + 1317 * * [misc]simplify: Extracting #6: cost 11 inf + 8298 * * [misc]simplify: Extracting #7: cost 0 inf + 15221 * * [misc]simplify: Extracting #8: cost 0 inf + 14304 * [exit]simplify: Simplified to (/ (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 109 inf + 0 * * [misc]simplify: Extracting #5: cost 111 inf + 1744 * * [misc]simplify: Extracting #6: cost 46 inf + 13267 * * [misc]simplify: Extracting #7: cost 0 inf + 20039 * * [misc]simplify: Extracting #8: cost 0 inf + 19999 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1860 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 22 inf + 1 * * [misc]simplify: Extracting #4: cost 28 inf + 47 * * [misc]simplify: Extracting #5: cost 19 inf + 1477 * * [misc]simplify: Extracting #6: cost 11 inf + 2146 * * [misc]simplify: Extracting #7: cost 9 inf + 2328 * * [misc]simplify: Extracting #8: cost 0 inf + 7167 * * [misc]simplify: Extracting #9: cost 0 inf + 6865 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c))))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 108 inf + 0 * * [misc]simplify: Extracting #5: cost 107 inf + 1989 * * [misc]simplify: Extracting #6: cost 22 inf + 16193 * * [misc]simplify: Extracting #7: cost 0 inf + 19637 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1861 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 28 inf + 0 * * [misc]simplify: Extracting #3: cost 35 inf + 0 * * [misc]simplify: Extracting #4: cost 41 inf + 46 * * [misc]simplify: Extracting #5: cost 30 inf + 1317 * * [misc]simplify: Extracting #6: cost 11 inf + 8298 * * [misc]simplify: Extracting #7: cost 0 inf + 15221 * * [misc]simplify: Extracting #8: cost 0 inf + 14304 * [exit]simplify: Simplified to (/ (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 109 inf + 0 * * [misc]simplify: Extracting #5: cost 111 inf + 1744 * * [misc]simplify: Extracting #6: cost 46 inf + 13267 * * [misc]simplify: Extracting #7: cost 0 inf + 20039 * * [misc]simplify: Extracting #8: cost 0 inf + 19999 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1862 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 22 inf + 1 * * [misc]simplify: Extracting #4: cost 28 inf + 47 * * [misc]simplify: Extracting #5: cost 16 inf + 1278 * * [misc]simplify: Extracting #6: cost 9 inf + 2248 * * [misc]simplify: Extracting #7: cost 4 inf + 4604 * * [misc]simplify: Extracting #8: cost 0 inf + 7258 * * [misc]simplify: Extracting #9: cost 0 inf + 6865 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* c (* c c)) (* c (* c c)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* c (* c c)) (* c (* c c)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 108 inf + 0 * * [misc]simplify: Extracting #5: cost 107 inf + 1989 * * [misc]simplify: Extracting #6: cost 22 inf + 16193 * * [misc]simplify: Extracting #7: cost 0 inf + 19637 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1863 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 28 inf + 0 * * [misc]simplify: Extracting #3: cost 35 inf + 0 * * [misc]simplify: Extracting #4: cost 41 inf + 46 * * [misc]simplify: Extracting #5: cost 30 inf + 1317 * * [misc]simplify: Extracting #6: cost 11 inf + 8298 * * [misc]simplify: Extracting #7: cost 0 inf + 15221 * * [misc]simplify: Extracting #8: cost 0 inf + 14304 * [exit]simplify: Simplified to (/ (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 109 inf + 0 * * [misc]simplify: Extracting #5: cost 111 inf + 1744 * * [misc]simplify: Extracting #6: cost 46 inf + 13267 * * [misc]simplify: Extracting #7: cost 0 inf + 20039 * * [misc]simplify: Extracting #8: cost 0 inf + 19999 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1864 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 22 inf + 1 * * [misc]simplify: Extracting #4: cost 29 inf + 5 * * [misc]simplify: Extracting #5: cost 18 inf + 942 * * [misc]simplify: Extracting #6: cost 8 inf + 2479 * * [misc]simplify: Extracting #7: cost 0 inf + 6865 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c))))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 108 inf + 0 * * [misc]simplify: Extracting #5: cost 107 inf + 1989 * * [misc]simplify: Extracting #6: cost 22 inf + 16193 * * [misc]simplify: Extracting #7: cost 0 inf + 19637 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) 1) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1865 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 29 inf + 0 * * [misc]simplify: Extracting #3: cost 36 inf + 0 * * [misc]simplify: Extracting #4: cost 42 inf + 46 * * [misc]simplify: Extracting #5: cost 32 inf + 1075 * * [misc]simplify: Extracting #6: cost 20 inf + 3477 * * [misc]simplify: Extracting #7: cost 2 inf + 14446 * * [misc]simplify: Extracting #8: cost 0 inf + 14864 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* c (* c c)) (* c (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* c (* c c)) (* c (* c c)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 109 inf + 0 * * [misc]simplify: Extracting #5: cost 111 inf + 1501 * * [misc]simplify: Extracting #6: cost 48 inf + 11539 * * [misc]simplify: Extracting #7: cost 0 inf + 20115 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1866 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 27 inf + 4 * * [misc]simplify: Extracting #6: cost 16 inf + 1032 * * [misc]simplify: Extracting #7: cost 7 inf + 2236 * * [misc]simplify: Extracting #8: cost 0 inf + 5738 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 106 inf + 0 * * [misc]simplify: Extracting #5: cost 106 inf + 1708 * * [misc]simplify: Extracting #6: cost 17 inf + 15039 * * [misc]simplify: Extracting #7: cost 0 inf + 18913 * * [misc]simplify: Extracting #8: cost 0 inf + 18833 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1867 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 36 inf + 46 * * [misc]simplify: Extracting #5: cost 23 inf + 1438 * * [misc]simplify: Extracting #6: cost 13 inf + 3466 * * [misc]simplify: Extracting #7: cost 0 inf + 11441 * * [misc]simplify: Extracting #8: cost 0 inf + 10524 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c)))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c)))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 110 inf + 0 * * [misc]simplify: Extracting #5: cost 101 inf + 3121 * * [misc]simplify: Extracting #6: cost 28 inf + 15581 * * [misc]simplify: Extracting #7: cost 2 inf + 19953 * * [misc]simplify: Extracting #8: cost 0 inf + 20437 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c)))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1868 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 34 inf + 46 * * [misc]simplify: Extracting #5: cost 22 inf + 1146 * * [misc]simplify: Extracting #6: cost 14 inf + 2438 * * [misc]simplify: Extracting #7: cost 4 inf + 6948 * * [misc]simplify: Extracting #8: cost 0 inf + 9560 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* (* c c) (* c c)) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* (* c c) (* c c)) (* c c))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 109 inf + 0 * * [misc]simplify: Extracting #5: cost 111 inf + 1501 * * [misc]simplify: Extracting #6: cost 48 inf + 11459 * * [misc]simplify: Extracting #7: cost 0 inf + 19955 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1869 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 25 inf + 47 * * [misc]simplify: Extracting #5: cost 15 inf + 1035 * * [misc]simplify: Extracting #6: cost 7 inf + 2006 * * [misc]simplify: Extracting #7: cost 0 inf + 5459 * * [misc]simplify: Extracting #8: cost 0 inf + 5015 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 109 inf + 0 * * [misc]simplify: Extracting #5: cost 111 inf + 1744 * * [misc]simplify: Extracting #6: cost 47 inf + 13065 * * [misc]simplify: Extracting #7: cost 0 inf + 19999 * * [misc]simplify: Extracting #8: cost 0 inf + 19959 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1870 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 34 inf + 46 * * [misc]simplify: Extracting #5: cost 22 inf + 1146 * * [misc]simplify: Extracting #6: cost 14 inf + 2438 * * [misc]simplify: Extracting #7: cost 4 inf + 6948 * * [misc]simplify: Extracting #8: cost 0 inf + 9560 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* (* c c) (* c c)) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* (* c c) (* c c)) (* c c))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 109 inf + 0 * * [misc]simplify: Extracting #5: cost 111 inf + 1501 * * [misc]simplify: Extracting #6: cost 48 inf + 11459 * * [misc]simplify: Extracting #7: cost 0 inf + 19955 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1871 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 25 inf + 47 * * [misc]simplify: Extracting #5: cost 12 inf + 1389 * * [misc]simplify: Extracting #6: cost 4 inf + 2923 * * [misc]simplify: Extracting #7: cost 0 inf + 5015 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 109 inf + 0 * * [misc]simplify: Extracting #5: cost 111 inf + 1744 * * [misc]simplify: Extracting #6: cost 47 inf + 13065 * * [misc]simplify: Extracting #7: cost 0 inf + 19999 * * [misc]simplify: Extracting #8: cost 0 inf + 19959 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c))))) (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1872 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 34 inf + 46 * * [misc]simplify: Extracting #5: cost 22 inf + 1146 * * [misc]simplify: Extracting #6: cost 14 inf + 2438 * * [misc]simplify: Extracting #7: cost 4 inf + 6948 * * [misc]simplify: Extracting #8: cost 0 inf + 9560 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* (* c c) (* c c)) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* (* c c) (* c c)) (* c c))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 109 inf + 0 * * [misc]simplify: Extracting #5: cost 111 inf + 1501 * * [misc]simplify: Extracting #6: cost 48 inf + 11459 * * [misc]simplify: Extracting #7: cost 0 inf + 19955 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1873 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 26 inf + 5 * * [misc]simplify: Extracting #5: cost 14 inf + 1063 * * [misc]simplify: Extracting #6: cost 6 inf + 2237 * * [misc]simplify: Extracting #7: cost 0 inf + 5015 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c))))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 109 inf + 0 * * [misc]simplify: Extracting #5: cost 111 inf + 1744 * * [misc]simplify: Extracting #6: cost 47 inf + 13065 * * [misc]simplify: Extracting #7: cost 0 inf + 19999 * * [misc]simplify: Extracting #8: cost 0 inf + 19959 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) 1) (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1874 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 28 inf + 0 * * [misc]simplify: Extracting #3: cost 37 inf + 0 * * [misc]simplify: Extracting #4: cost 43 inf + 46 * * [misc]simplify: Extracting #5: cost 31 inf + 1317 * * [misc]simplify: Extracting #6: cost 20 inf + 3639 * * [misc]simplify: Extracting #7: cost 10 inf + 9562 * * [misc]simplify: Extracting #8: cost 0 inf + 15346 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 110 inf + 0 * * [misc]simplify: Extracting #5: cost 101 inf + 3121 * * [misc]simplify: Extracting #6: cost 28 inf + 15541 * * [misc]simplify: Extracting #7: cost 2 inf + 19913 * * [misc]simplify: Extracting #8: cost 0 inf + 20397 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1875 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 36 inf + 46 * * [misc]simplify: Extracting #5: cost 23 inf + 1398 * * [misc]simplify: Extracting #6: cost 13 inf + 3466 * * [misc]simplify: Extracting #7: cost 0 inf + 11441 * * [misc]simplify: Extracting #8: cost 0 inf + 10524 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c)))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c)))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 110 inf + 0 * * [misc]simplify: Extracting #5: cost 101 inf + 3121 * * [misc]simplify: Extracting #6: cost 28 inf + 15581 * * [misc]simplify: Extracting #7: cost 2 inf + 19953 * * [misc]simplify: Extracting #8: cost 0 inf + 20437 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c)))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1876 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 24 inf + 208 * * [misc]simplify: Extracting #6: cost 14 inf + 1274 * * [misc]simplify: Extracting #7: cost 6 inf + 2518 * * [misc]simplify: Extracting #8: cost 0 inf + 5698 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 106 inf + 0 * * [misc]simplify: Extracting #5: cost 106 inf + 1708 * * [misc]simplify: Extracting #6: cost 17 inf + 15079 * * [misc]simplify: Extracting #7: cost 0 inf + 18953 * * [misc]simplify: Extracting #8: cost 0 inf + 18873 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1877 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 35 inf + 46 * * [misc]simplify: Extracting #5: cost 26 inf + 1034 * * [misc]simplify: Extracting #6: cost 14 inf + 2942 * * [misc]simplify: Extracting #7: cost 8 inf + 5771 * * [misc]simplify: Extracting #8: cost 0 inf + 9882 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* c (* c c)) (* c (* c c))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* c (* c c)) (* c (* c c))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 110 inf + 0 * * [misc]simplify: Extracting #5: cost 101 inf + 3121 * * [misc]simplify: Extracting #6: cost 28 inf + 15541 * * [misc]simplify: Extracting #7: cost 2 inf + 19793 * * [misc]simplify: Extracting #8: cost 0 inf + 20237 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1878 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 25 inf + 47 * * [misc]simplify: Extracting #5: cost 14 inf + 1237 * * [misc]simplify: Extracting #6: cost 6 inf + 2288 * * [misc]simplify: Extracting #7: cost 0 inf + 5459 * * [misc]simplify: Extracting #8: cost 0 inf + 5015 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 109 inf + 0 * * [misc]simplify: Extracting #5: cost 111 inf + 1501 * * [misc]simplify: Extracting #6: cost 48 inf + 11379 * * [misc]simplify: Extracting #7: cost 0 inf + 19875 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1879 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 35 inf + 46 * * [misc]simplify: Extracting #5: cost 26 inf + 1034 * * [misc]simplify: Extracting #6: cost 14 inf + 2942 * * [misc]simplify: Extracting #7: cost 8 inf + 5771 * * [misc]simplify: Extracting #8: cost 0 inf + 9882 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* c (* c c)) (* c (* c c))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* c (* c c)) (* c (* c c))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 110 inf + 0 * * [misc]simplify: Extracting #5: cost 101 inf + 3121 * * [misc]simplify: Extracting #6: cost 28 inf + 15541 * * [misc]simplify: Extracting #7: cost 2 inf + 19793 * * [misc]simplify: Extracting #8: cost 0 inf + 20237 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1880 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 25 inf + 47 * * [misc]simplify: Extracting #5: cost 12 inf + 1429 * * [misc]simplify: Extracting #6: cost 1 inf + 4291 * * [misc]simplify: Extracting #7: cost 0 inf + 5015 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 109 inf + 0 * * [misc]simplify: Extracting #5: cost 111 inf + 1501 * * [misc]simplify: Extracting #6: cost 48 inf + 11379 * * [misc]simplify: Extracting #7: cost 0 inf + 19875 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt 1)) (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1881 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 35 inf + 46 * * [misc]simplify: Extracting #5: cost 26 inf + 1034 * * [misc]simplify: Extracting #6: cost 14 inf + 2942 * * [misc]simplify: Extracting #7: cost 8 inf + 5771 * * [misc]simplify: Extracting #8: cost 0 inf + 9882 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* c (* c c)) (* c (* c c))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* c (* c c)) (* c (* c c))))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 110 inf + 0 * * [misc]simplify: Extracting #5: cost 101 inf + 3121 * * [misc]simplify: Extracting #6: cost 28 inf + 15541 * * [misc]simplify: Extracting #7: cost 2 inf + 19793 * * [misc]simplify: Extracting #8: cost 0 inf + 20237 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1882 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 25 inf + 47 * * [misc]simplify: Extracting #5: cost 13 inf + 1227 * * [misc]simplify: Extracting #6: cost 4 inf + 2801 * * [misc]simplify: Extracting #7: cost 0 inf + 5015 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 109 inf + 0 * * [misc]simplify: Extracting #5: cost 111 inf + 1501 * * [misc]simplify: Extracting #6: cost 48 inf + 11379 * * [misc]simplify: Extracting #7: cost 0 inf + 19875 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) 1) (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1883 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 0 * * [misc]simplify: Extracting #3: cost 34 inf + 0 * * [misc]simplify: Extracting #4: cost 40 inf + 46 * * [misc]simplify: Extracting #5: cost 27 inf + 2174 * * [misc]simplify: Extracting #6: cost 7 inf + 9384 * * [misc]simplify: Extracting #7: cost 0 inf + 14457 * * [misc]simplify: Extracting #8: cost 0 inf + 13540 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 109 inf + 0 * * [misc]simplify: Extracting #5: cost 111 inf + 1744 * * [misc]simplify: Extracting #6: cost 46 inf + 13267 * * [misc]simplify: Extracting #7: cost 0 inf + 20039 * * [misc]simplify: Extracting #8: cost 0 inf + 19999 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1884 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 34 inf + 46 * * [misc]simplify: Extracting #5: cost 21 inf + 1388 * * [misc]simplify: Extracting #6: cost 10 inf + 4170 * * [misc]simplify: Extracting #7: cost 4 inf + 6786 * * [misc]simplify: Extracting #8: cost 0 inf + 9560 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* (* c c) (* c c)) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* (* c c) (* c c)) (* c c)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 109 inf + 0 * * [misc]simplify: Extracting #5: cost 111 inf + 1501 * * [misc]simplify: Extracting #6: cost 48 inf + 11459 * * [misc]simplify: Extracting #7: cost 0 inf + 19955 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1885 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 35 inf + 46 * * [misc]simplify: Extracting #5: cost 25 inf + 1196 * * [misc]simplify: Extracting #6: cost 13 inf + 3144 * * [misc]simplify: Extracting #7: cost 3 inf + 8927 * * [misc]simplify: Extracting #8: cost 0 inf + 10013 * * [misc]simplify: Extracting #9: cost 0 inf + 9882 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* c (* c c)) (* c (* c c))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* c (* c c)) (* c (* c c))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 110 inf + 0 * * [misc]simplify: Extracting #5: cost 101 inf + 3121 * * [misc]simplify: Extracting #6: cost 28 inf + 15461 * * [misc]simplify: Extracting #7: cost 2 inf + 19753 * * [misc]simplify: Extracting #8: cost 0 inf + 20237 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1886 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 208 * * [misc]simplify: Extracting #6: cost 12 inf + 1264 * * [misc]simplify: Extracting #7: cost 4 inf + 2842 * * [misc]simplify: Extracting #8: cost 0 inf + 5176 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 106 inf + 0 * * [misc]simplify: Extracting #5: cost 106 inf + 1708 * * [misc]simplify: Extracting #6: cost 17 inf + 14999 * * [misc]simplify: Extracting #7: cost 0 inf + 18753 * * [misc]simplify: Extracting #8: cost 0 inf + 18673 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1887 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 24 inf + 47 * * [misc]simplify: Extracting #5: cost 12 inf + 1147 * * [misc]simplify: Extracting #6: cost 4 inf + 2439 * * [misc]simplify: Extracting #7: cost 0 inf + 4533 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 108 inf + 0 * * [misc]simplify: Extracting #5: cost 107 inf + 1989 * * [misc]simplify: Extracting #6: cost 22 inf + 16033 * * [misc]simplify: Extracting #7: cost 0 inf + 19477 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1888 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 208 * * [misc]simplify: Extracting #6: cost 12 inf + 1264 * * [misc]simplify: Extracting #7: cost 4 inf + 2842 * * [misc]simplify: Extracting #8: cost 0 inf + 5176 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 106 inf + 0 * * [misc]simplify: Extracting #5: cost 106 inf + 1708 * * [misc]simplify: Extracting #6: cost 17 inf + 14999 * * [misc]simplify: Extracting #7: cost 0 inf + 18753 * * [misc]simplify: Extracting #8: cost 0 inf + 18673 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1889 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 25 inf + 5 * * [misc]simplify: Extracting #5: cost 12 inf + 1184 * * [misc]simplify: Extracting #6: cost 4 inf + 2681 * * [misc]simplify: Extracting #7: cost 0 inf + 4533 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 108 inf + 0 * * [misc]simplify: Extracting #5: cost 107 inf + 1989 * * [misc]simplify: Extracting #6: cost 22 inf + 16033 * * [misc]simplify: Extracting #7: cost 0 inf + 19477 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1890 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 208 * * [misc]simplify: Extracting #6: cost 12 inf + 1264 * * [misc]simplify: Extracting #7: cost 4 inf + 2842 * * [misc]simplify: Extracting #8: cost 0 inf + 5176 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 106 inf + 0 * * [misc]simplify: Extracting #5: cost 106 inf + 1708 * * [misc]simplify: Extracting #6: cost 17 inf + 14999 * * [misc]simplify: Extracting #7: cost 0 inf + 18753 * * [misc]simplify: Extracting #8: cost 0 inf + 18673 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1891 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 24 inf + 47 * * [misc]simplify: Extracting #5: cost 12 inf + 1147 * * [misc]simplify: Extracting #6: cost 6 inf + 1875 * * [misc]simplify: Extracting #7: cost 1 inf + 4049 * * [misc]simplify: Extracting #8: cost 0 inf + 4533 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 108 inf + 0 * * [misc]simplify: Extracting #5: cost 107 inf + 1989 * * [misc]simplify: Extracting #6: cost 22 inf + 16033 * * [misc]simplify: Extracting #7: cost 0 inf + 19477 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1892 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 26 inf + 47 * * [misc]simplify: Extracting #6: cost 18 inf + 792 * * [misc]simplify: Extracting #7: cost 7 inf + 2379 * * [misc]simplify: Extracting #8: cost 4 inf + 3498 * * [misc]simplify: Extracting #9: cost 0 inf + 5779 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 108 inf + 0 * * [misc]simplify: Extracting #5: cost 107 inf + 1989 * * [misc]simplify: Extracting #6: cost 22 inf + 16193 * * [misc]simplify: Extracting #7: cost 0 inf + 19637 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1893 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 47 * * [misc]simplify: Extracting #6: cost 14 inf + 913 * * [misc]simplify: Extracting #7: cost 6 inf + 1764 * * [misc]simplify: Extracting #8: cost 4 inf + 2328 * * [misc]simplify: Extracting #9: cost 0 inf + 4231 * * [misc]simplify: Extracting #10: cost 0 inf + 4009 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 109 inf + 0 * * [misc]simplify: Extracting #5: cost 111 inf + 1744 * * [misc]simplify: Extracting #6: cost 47 inf + 13065 * * [misc]simplify: Extracting #7: cost 0 inf + 19999 * * [misc]simplify: Extracting #8: cost 0 inf + 19959 * [exit]simplify: Simplified to (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1894 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 47 * * [misc]simplify: Extracting #6: cost 14 inf + 913 * * [misc]simplify: Extracting #7: cost 6 inf + 1804 * * [misc]simplify: Extracting #8: cost 3 inf + 2610 * * [misc]simplify: Extracting #9: cost 0 inf + 4231 * * [misc]simplify: Extracting #10: cost 0 inf + 4009 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 109 inf + 0 * * [misc]simplify: Extracting #5: cost 111 inf + 1501 * * [misc]simplify: Extracting #6: cost 48 inf + 11379 * * [misc]simplify: Extracting #7: cost 0 inf + 19875 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1895 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 22 inf + 47 * * [misc]simplify: Extracting #6: cost 12 inf + 863 * * [misc]simplify: Extracting #7: cost 5 inf + 1673 * * [misc]simplify: Extracting #8: cost 3 inf + 2197 * * [misc]simplify: Extracting #9: cost 1 inf + 2923 * * [misc]simplify: Extracting #10: cost 0 inf + 3607 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 108 inf + 0 * * [misc]simplify: Extracting #5: cost 107 inf + 1989 * * [misc]simplify: Extracting #6: cost 22 inf + 16033 * * [misc]simplify: Extracting #7: cost 0 inf + 19477 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1896 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt 1))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 47 * * [misc]simplify: Extracting #5: cost 8 inf + 873 * * [misc]simplify: Extracting #6: cost 2 inf + 1480 * * [misc]simplify: Extracting #7: cost 1 inf + 1802 * * [misc]simplify: Extracting #8: cost 0 inf + 2286 * * [misc]simplify: Extracting #9: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* c (* c c)) (* c (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* c (* c c)) (* c (* c c)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 105 inf + 0 * * [misc]simplify: Extracting #5: cost 103 inf + 2070 * * [misc]simplify: Extracting #6: cost 17 inf + 14637 * * [misc]simplify: Extracting #7: cost 0 inf + 18351 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt 1))) (sqrt (sqrt 1))) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1897 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 22 inf + 47 * * [misc]simplify: Extracting #6: cost 12 inf + 863 * * [misc]simplify: Extracting #7: cost 5 inf + 1673 * * [misc]simplify: Extracting #8: cost 3 inf + 2197 * * [misc]simplify: Extracting #9: cost 1 inf + 2923 * * [misc]simplify: Extracting #10: cost 0 inf + 3607 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 108 inf + 0 * * [misc]simplify: Extracting #5: cost 107 inf + 1989 * * [misc]simplify: Extracting #6: cost 22 inf + 16033 * * [misc]simplify: Extracting #7: cost 0 inf + 19477 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1898 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt 1))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 47 * * [misc]simplify: Extracting #5: cost 8 inf + 873 * * [misc]simplify: Extracting #6: cost 2 inf + 1480 * * [misc]simplify: Extracting #7: cost 1 inf + 1802 * * [misc]simplify: Extracting #8: cost 0 inf + 2286 * * [misc]simplify: Extracting #9: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* c (* c c)) (* c (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* c (* c c)) (* c (* c c)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 105 inf + 0 * * [misc]simplify: Extracting #5: cost 103 inf + 2070 * * [misc]simplify: Extracting #6: cost 17 inf + 14637 * * [misc]simplify: Extracting #7: cost 0 inf + 18351 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt 1))) (sqrt 1)) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1899 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 22 inf + 47 * * [misc]simplify: Extracting #6: cost 12 inf + 863 * * [misc]simplify: Extracting #7: cost 5 inf + 1673 * * [misc]simplify: Extracting #8: cost 3 inf + 2197 * * [misc]simplify: Extracting #9: cost 1 inf + 2923 * * [misc]simplify: Extracting #10: cost 0 inf + 3607 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 108 inf + 0 * * [misc]simplify: Extracting #5: cost 107 inf + 1989 * * [misc]simplify: Extracting #6: cost 22 inf + 16033 * * [misc]simplify: Extracting #7: cost 0 inf + 19477 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1900 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 47 * * [misc]simplify: Extracting #5: cost 8 inf + 873 * * [misc]simplify: Extracting #6: cost 2 inf + 1480 * * [misc]simplify: Extracting #7: cost 1 inf + 1802 * * [misc]simplify: Extracting #8: cost 0 inf + 2286 * * [misc]simplify: Extracting #9: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* c (* c c)) (* c (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* c (* c c)) (* c (* c c)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 105 inf + 0 * * [misc]simplify: Extracting #5: cost 103 inf + 2070 * * [misc]simplify: Extracting #6: cost 17 inf + 14637 * * [misc]simplify: Extracting #7: cost 0 inf + 18351 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt 1))) 1) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1901 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 0 * * [misc]simplify: Extracting #3: cost 34 inf + 0 * * [misc]simplify: Extracting #4: cost 40 inf + 46 * * [misc]simplify: Extracting #5: cost 27 inf + 2174 * * [misc]simplify: Extracting #6: cost 7 inf + 9384 * * [misc]simplify: Extracting #7: cost 0 inf + 14457 * * [misc]simplify: Extracting #8: cost 0 inf + 13540 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 109 inf + 0 * * [misc]simplify: Extracting #5: cost 111 inf + 1744 * * [misc]simplify: Extracting #6: cost 46 inf + 13267 * * [misc]simplify: Extracting #7: cost 0 inf + 20039 * * [misc]simplify: Extracting #8: cost 0 inf + 19999 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1902 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 34 inf + 46 * * [misc]simplify: Extracting #5: cost 21 inf + 1388 * * [misc]simplify: Extracting #6: cost 10 inf + 4170 * * [misc]simplify: Extracting #7: cost 4 inf + 6786 * * [misc]simplify: Extracting #8: cost 0 inf + 9560 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* (* c c) (* c c)) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* (* c c) (* c c)) (* c c)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 109 inf + 0 * * [misc]simplify: Extracting #5: cost 111 inf + 1501 * * [misc]simplify: Extracting #6: cost 48 inf + 11459 * * [misc]simplify: Extracting #7: cost 0 inf + 19955 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1903 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 35 inf + 46 * * [misc]simplify: Extracting #5: cost 25 inf + 1196 * * [misc]simplify: Extracting #6: cost 13 inf + 3144 * * [misc]simplify: Extracting #7: cost 3 inf + 8927 * * [misc]simplify: Extracting #8: cost 0 inf + 10013 * * [misc]simplify: Extracting #9: cost 0 inf + 9882 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* c (* c c)) (* c (* c c))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* c (* c c)) (* c (* c c))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 110 inf + 0 * * [misc]simplify: Extracting #5: cost 101 inf + 3121 * * [misc]simplify: Extracting #6: cost 28 inf + 15461 * * [misc]simplify: Extracting #7: cost 2 inf + 19753 * * [misc]simplify: Extracting #8: cost 0 inf + 20237 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1904 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 208 * * [misc]simplify: Extracting #6: cost 12 inf + 1264 * * [misc]simplify: Extracting #7: cost 4 inf + 2842 * * [misc]simplify: Extracting #8: cost 0 inf + 5176 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 106 inf + 0 * * [misc]simplify: Extracting #5: cost 106 inf + 1708 * * [misc]simplify: Extracting #6: cost 17 inf + 14999 * * [misc]simplify: Extracting #7: cost 0 inf + 18753 * * [misc]simplify: Extracting #8: cost 0 inf + 18673 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1905 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 24 inf + 47 * * [misc]simplify: Extracting #5: cost 12 inf + 1147 * * [misc]simplify: Extracting #6: cost 4 inf + 2439 * * [misc]simplify: Extracting #7: cost 0 inf + 4533 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 108 inf + 0 * * [misc]simplify: Extracting #5: cost 107 inf + 1989 * * [misc]simplify: Extracting #6: cost 22 inf + 16033 * * [misc]simplify: Extracting #7: cost 0 inf + 19477 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1906 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 208 * * [misc]simplify: Extracting #6: cost 12 inf + 1264 * * [misc]simplify: Extracting #7: cost 4 inf + 2842 * * [misc]simplify: Extracting #8: cost 0 inf + 5176 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 106 inf + 0 * * [misc]simplify: Extracting #5: cost 106 inf + 1708 * * [misc]simplify: Extracting #6: cost 17 inf + 14999 * * [misc]simplify: Extracting #7: cost 0 inf + 18753 * * [misc]simplify: Extracting #8: cost 0 inf + 18673 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1907 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 25 inf + 5 * * [misc]simplify: Extracting #5: cost 12 inf + 1184 * * [misc]simplify: Extracting #6: cost 4 inf + 2681 * * [misc]simplify: Extracting #7: cost 0 inf + 4533 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 108 inf + 0 * * [misc]simplify: Extracting #5: cost 107 inf + 1989 * * [misc]simplify: Extracting #6: cost 22 inf + 16033 * * [misc]simplify: Extracting #7: cost 0 inf + 19477 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1908 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 208 * * [misc]simplify: Extracting #6: cost 12 inf + 1264 * * [misc]simplify: Extracting #7: cost 4 inf + 2842 * * [misc]simplify: Extracting #8: cost 0 inf + 5176 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 106 inf + 0 * * [misc]simplify: Extracting #5: cost 106 inf + 1708 * * [misc]simplify: Extracting #6: cost 17 inf + 14999 * * [misc]simplify: Extracting #7: cost 0 inf + 18753 * * [misc]simplify: Extracting #8: cost 0 inf + 18673 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1909 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 24 inf + 47 * * [misc]simplify: Extracting #5: cost 12 inf + 1147 * * [misc]simplify: Extracting #6: cost 6 inf + 1875 * * [misc]simplify: Extracting #7: cost 1 inf + 4049 * * [misc]simplify: Extracting #8: cost 0 inf + 4533 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 108 inf + 0 * * [misc]simplify: Extracting #5: cost 107 inf + 1989 * * [misc]simplify: Extracting #6: cost 22 inf + 16033 * * [misc]simplify: Extracting #7: cost 0 inf + 19477 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1910 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 26 inf + 47 * * [misc]simplify: Extracting #6: cost 16 inf + 903 * * [misc]simplify: Extracting #7: cost 10 inf + 1511 * * [misc]simplify: Extracting #8: cost 6 inf + 2681 * * [misc]simplify: Extracting #9: cost 4 inf + 3285 * * [misc]simplify: Extracting #10: cost 0 inf + 5779 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 108 inf + 0 * * [misc]simplify: Extracting #5: cost 107 inf + 1989 * * [misc]simplify: Extracting #6: cost 22 inf + 16193 * * [misc]simplify: Extracting #7: cost 0 inf + 19637 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1911 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 47 * * [misc]simplify: Extracting #6: cost 13 inf + 863 * * [misc]simplify: Extracting #7: cost 6 inf + 1833 * * [misc]simplify: Extracting #8: cost 3 inf + 2721 * * [misc]simplify: Extracting #9: cost 1 inf + 3285 * * [misc]simplify: Extracting #10: cost 0 inf + 4009 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 109 inf + 0 * * [misc]simplify: Extracting #5: cost 111 inf + 1744 * * [misc]simplify: Extracting #6: cost 47 inf + 13065 * * [misc]simplify: Extracting #7: cost 0 inf + 19999 * * [misc]simplify: Extracting #8: cost 0 inf + 19959 * [exit]simplify: Simplified to (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1912 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 47 * * [misc]simplify: Extracting #6: cost 13 inf + 863 * * [misc]simplify: Extracting #7: cost 6 inf + 1833 * * [misc]simplify: Extracting #8: cost 2 inf + 3003 * * [misc]simplify: Extracting #9: cost 1 inf + 3285 * * [misc]simplify: Extracting #10: cost 0 inf + 4009 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 109 inf + 0 * * [misc]simplify: Extracting #5: cost 111 inf + 1501 * * [misc]simplify: Extracting #6: cost 48 inf + 11379 * * [misc]simplify: Extracting #7: cost 0 inf + 19875 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1913 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 22 inf + 47 * * [misc]simplify: Extracting #6: cost 11 inf + 1024 * * [misc]simplify: Extracting #7: cost 5 inf + 1833 * * [misc]simplify: Extracting #8: cost 2 inf + 2681 * * [misc]simplify: Extracting #9: cost 0 inf + 3607 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 108 inf + 0 * * [misc]simplify: Extracting #5: cost 107 inf + 1989 * * [misc]simplify: Extracting #6: cost 22 inf + 16033 * * [misc]simplify: Extracting #7: cost 0 inf + 19477 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1914 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt 1)) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 47 * * [misc]simplify: Extracting #5: cost 8 inf + 873 * * [misc]simplify: Extracting #6: cost 1 inf + 1893 * * [misc]simplify: Extracting #7: cost 0 inf + 2286 * * [misc]simplify: Extracting #8: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* c (* c c)) (* c (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* c (* c c)) (* c (* c c)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 105 inf + 0 * * [misc]simplify: Extracting #5: cost 103 inf + 2070 * * [misc]simplify: Extracting #6: cost 17 inf + 14637 * * [misc]simplify: Extracting #7: cost 0 inf + 18351 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt 1)) (sqrt (sqrt 1))) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1915 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 22 inf + 47 * * [misc]simplify: Extracting #6: cost 11 inf + 1024 * * [misc]simplify: Extracting #7: cost 5 inf + 1833 * * [misc]simplify: Extracting #8: cost 2 inf + 2681 * * [misc]simplify: Extracting #9: cost 0 inf + 3607 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 108 inf + 0 * * [misc]simplify: Extracting #5: cost 107 inf + 1989 * * [misc]simplify: Extracting #6: cost 22 inf + 16033 * * [misc]simplify: Extracting #7: cost 0 inf + 19477 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1916 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 47 * * [misc]simplify: Extracting #5: cost 7 inf + 1165 * * [misc]simplify: Extracting #6: cost 2 inf + 1520 * * [misc]simplify: Extracting #7: cost 0 inf + 2457 * * [misc]simplify: Extracting #8: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 105 inf + 0 * * [misc]simplify: Extracting #5: cost 103 inf + 2070 * * [misc]simplify: Extracting #6: cost 17 inf + 14637 * * [misc]simplify: Extracting #7: cost 0 inf + 18351 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt 1)) (sqrt 1)) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1917 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 22 inf + 47 * * [misc]simplify: Extracting #6: cost 11 inf + 1024 * * [misc]simplify: Extracting #7: cost 5 inf + 1833 * * [misc]simplify: Extracting #8: cost 2 inf + 2681 * * [misc]simplify: Extracting #9: cost 0 inf + 3607 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 108 inf + 0 * * [misc]simplify: Extracting #5: cost 107 inf + 1989 * * [misc]simplify: Extracting #6: cost 22 inf + 16033 * * [misc]simplify: Extracting #7: cost 0 inf + 19477 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1918 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 47 * * [misc]simplify: Extracting #5: cost 7 inf + 1165 * * [misc]simplify: Extracting #6: cost 2 inf + 1520 * * [misc]simplify: Extracting #7: cost 0 inf + 2457 * * [misc]simplify: Extracting #8: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 105 inf + 0 * * [misc]simplify: Extracting #5: cost 103 inf + 2070 * * [misc]simplify: Extracting #6: cost 17 inf + 14637 * * [misc]simplify: Extracting #7: cost 0 inf + 18351 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt 1)) 1) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1919 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 0 * * [misc]simplify: Extracting #3: cost 34 inf + 0 * * [misc]simplify: Extracting #4: cost 40 inf + 46 * * [misc]simplify: Extracting #5: cost 27 inf + 2174 * * [misc]simplify: Extracting #6: cost 7 inf + 9384 * * [misc]simplify: Extracting #7: cost 0 inf + 14457 * * [misc]simplify: Extracting #8: cost 0 inf + 13540 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 109 inf + 0 * * [misc]simplify: Extracting #5: cost 111 inf + 1744 * * [misc]simplify: Extracting #6: cost 46 inf + 13267 * * [misc]simplify: Extracting #7: cost 0 inf + 20039 * * [misc]simplify: Extracting #8: cost 0 inf + 19999 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1920 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 34 inf + 46 * * [misc]simplify: Extracting #5: cost 21 inf + 1388 * * [misc]simplify: Extracting #6: cost 10 inf + 4170 * * [misc]simplify: Extracting #7: cost 4 inf + 6786 * * [misc]simplify: Extracting #8: cost 0 inf + 9560 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* (* c c) (* c c)) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* (* c c) (* c c)) (* c c)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 109 inf + 0 * * [misc]simplify: Extracting #5: cost 111 inf + 1501 * * [misc]simplify: Extracting #6: cost 48 inf + 11459 * * [misc]simplify: Extracting #7: cost 0 inf + 19955 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1921 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 35 inf + 46 * * [misc]simplify: Extracting #5: cost 25 inf + 1196 * * [misc]simplify: Extracting #6: cost 13 inf + 3144 * * [misc]simplify: Extracting #7: cost 3 inf + 8927 * * [misc]simplify: Extracting #8: cost 0 inf + 10013 * * [misc]simplify: Extracting #9: cost 0 inf + 9882 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* c (* c c)) (* c (* c c))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* c (* c c)) (* c (* c c))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 110 inf + 0 * * [misc]simplify: Extracting #5: cost 101 inf + 3121 * * [misc]simplify: Extracting #6: cost 28 inf + 15461 * * [misc]simplify: Extracting #7: cost 2 inf + 19753 * * [misc]simplify: Extracting #8: cost 0 inf + 20237 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1922 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 208 * * [misc]simplify: Extracting #6: cost 12 inf + 1264 * * [misc]simplify: Extracting #7: cost 4 inf + 2842 * * [misc]simplify: Extracting #8: cost 0 inf + 5176 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 106 inf + 0 * * [misc]simplify: Extracting #5: cost 106 inf + 1708 * * [misc]simplify: Extracting #6: cost 17 inf + 14999 * * [misc]simplify: Extracting #7: cost 0 inf + 18753 * * [misc]simplify: Extracting #8: cost 0 inf + 18673 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1923 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 24 inf + 47 * * [misc]simplify: Extracting #5: cost 12 inf + 1147 * * [misc]simplify: Extracting #6: cost 4 inf + 2439 * * [misc]simplify: Extracting #7: cost 0 inf + 4533 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 108 inf + 0 * * [misc]simplify: Extracting #5: cost 107 inf + 1989 * * [misc]simplify: Extracting #6: cost 22 inf + 16033 * * [misc]simplify: Extracting #7: cost 0 inf + 19477 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1924 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 208 * * [misc]simplify: Extracting #6: cost 12 inf + 1264 * * [misc]simplify: Extracting #7: cost 4 inf + 2842 * * [misc]simplify: Extracting #8: cost 0 inf + 5176 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 106 inf + 0 * * [misc]simplify: Extracting #5: cost 106 inf + 1708 * * [misc]simplify: Extracting #6: cost 17 inf + 14999 * * [misc]simplify: Extracting #7: cost 0 inf + 18753 * * [misc]simplify: Extracting #8: cost 0 inf + 18673 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1925 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 25 inf + 5 * * [misc]simplify: Extracting #5: cost 12 inf + 1184 * * [misc]simplify: Extracting #6: cost 4 inf + 2681 * * [misc]simplify: Extracting #7: cost 0 inf + 4533 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 108 inf + 0 * * [misc]simplify: Extracting #5: cost 107 inf + 1989 * * [misc]simplify: Extracting #6: cost 22 inf + 16033 * * [misc]simplify: Extracting #7: cost 0 inf + 19477 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1926 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 208 * * [misc]simplify: Extracting #6: cost 12 inf + 1264 * * [misc]simplify: Extracting #7: cost 4 inf + 2842 * * [misc]simplify: Extracting #8: cost 0 inf + 5176 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 106 inf + 0 * * [misc]simplify: Extracting #5: cost 106 inf + 1708 * * [misc]simplify: Extracting #6: cost 17 inf + 14999 * * [misc]simplify: Extracting #7: cost 0 inf + 18753 * * [misc]simplify: Extracting #8: cost 0 inf + 18673 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1927 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 24 inf + 47 * * [misc]simplify: Extracting #5: cost 12 inf + 1147 * * [misc]simplify: Extracting #6: cost 6 inf + 1875 * * [misc]simplify: Extracting #7: cost 1 inf + 4049 * * [misc]simplify: Extracting #8: cost 0 inf + 4533 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* (* c c) (* c c)) (* c c)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 108 inf + 0 * * [misc]simplify: Extracting #5: cost 107 inf + 1989 * * [misc]simplify: Extracting #6: cost 22 inf + 16033 * * [misc]simplify: Extracting #7: cost 0 inf + 19477 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1928 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 1 * * [misc]simplify: Extracting #3: cost 26 inf + 1 * * [misc]simplify: Extracting #4: cost 32 inf + 47 * * [misc]simplify: Extracting #5: cost 21 inf + 1025 * * [misc]simplify: Extracting #6: cost 15 inf + 1673 * * [misc]simplify: Extracting #7: cost 6 inf + 5499 * * [misc]simplify: Extracting #8: cost 0 inf + 9322 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 108 inf + 0 * * [misc]simplify: Extracting #5: cost 107 inf + 1989 * * [misc]simplify: Extracting #6: cost 22 inf + 16193 * * [misc]simplify: Extracting #7: cost 0 inf + 19637 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1929 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 25 inf + 47 * * [misc]simplify: Extracting #5: cost 15 inf + 995 * * [misc]simplify: Extracting #6: cost 8 inf + 1673 * * [misc]simplify: Extracting #7: cost 3 inf + 3285 * * [misc]simplify: Extracting #8: cost 0 inf + 5015 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 109 inf + 0 * * [misc]simplify: Extracting #5: cost 111 inf + 1744 * * [misc]simplify: Extracting #6: cost 47 inf + 13065 * * [misc]simplify: Extracting #7: cost 0 inf + 19999 * * [misc]simplify: Extracting #8: cost 0 inf + 19959 * [exit]simplify: Simplified to (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1930 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 25 inf + 47 * * [misc]simplify: Extracting #5: cost 14 inf + 1025 * * [misc]simplify: Extracting #6: cost 7 inf + 1955 * * [misc]simplify: Extracting #7: cost 2 inf + 3847 * * [misc]simplify: Extracting #8: cost 0 inf + 5015 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 109 inf + 0 * * [misc]simplify: Extracting #5: cost 111 inf + 1501 * * [misc]simplify: Extracting #6: cost 48 inf + 11379 * * [misc]simplify: Extracting #7: cost 0 inf + 19875 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1931 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 24 inf + 47 * * [misc]simplify: Extracting #5: cost 13 inf + 1207 * * [misc]simplify: Extracting #6: cost 7 inf + 1764 * * [misc]simplify: Extracting #7: cost 1 inf + 4573 * * [misc]simplify: Extracting #8: cost 0 inf + 4533 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* c (* c c)) (* c (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* c (* c c)) (* c (* c c)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 108 inf + 0 * * [misc]simplify: Extracting #5: cost 107 inf + 1989 * * [misc]simplify: Extracting #6: cost 22 inf + 16033 * * [misc]simplify: Extracting #7: cost 0 inf + 19477 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1932 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) 1) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 47 * * [misc]simplify: Extracting #5: cost 8 inf + 873 * * [misc]simplify: Extracting #6: cost 2 inf + 1480 * * [misc]simplify: Extracting #7: cost 0 inf + 2377 * * [misc]simplify: Extracting #8: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* c (* c c)) (* c (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* c (* c c)) (* c (* c c)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 105 inf + 0 * * [misc]simplify: Extracting #5: cost 103 inf + 2070 * * [misc]simplify: Extracting #6: cost 17 inf + 14637 * * [misc]simplify: Extracting #7: cost 0 inf + 18351 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) 1) (sqrt (sqrt 1))) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1933 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 24 inf + 47 * * [misc]simplify: Extracting #5: cost 13 inf + 1207 * * [misc]simplify: Extracting #6: cost 7 inf + 1764 * * [misc]simplify: Extracting #7: cost 1 inf + 4573 * * [misc]simplify: Extracting #8: cost 0 inf + 4533 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* c (* c c)) (* c (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* c (* c c)) (* c (* c c)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 108 inf + 0 * * [misc]simplify: Extracting #5: cost 107 inf + 1989 * * [misc]simplify: Extracting #6: cost 22 inf + 16033 * * [misc]simplify: Extracting #7: cost 0 inf + 19477 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1934 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 47 * * [misc]simplify: Extracting #5: cost 7 inf + 1165 * * [misc]simplify: Extracting #6: cost 2 inf + 1520 * * [misc]simplify: Extracting #7: cost 0 inf + 2457 * * [misc]simplify: Extracting #8: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 105 inf + 0 * * [misc]simplify: Extracting #5: cost 103 inf + 2070 * * [misc]simplify: Extracting #6: cost 17 inf + 14637 * * [misc]simplify: Extracting #7: cost 0 inf + 18351 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) 1) (sqrt 1)) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1935 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 24 inf + 47 * * [misc]simplify: Extracting #5: cost 13 inf + 1207 * * [misc]simplify: Extracting #6: cost 7 inf + 1764 * * [misc]simplify: Extracting #7: cost 1 inf + 4573 * * [misc]simplify: Extracting #8: cost 0 inf + 4533 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* c (* c c)) (* c (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* (* (* d d) (* d d)) (* d d)) (* (* c (* c c)) (* c (* c c)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 108 inf + 0 * * [misc]simplify: Extracting #5: cost 107 inf + 1989 * * [misc]simplify: Extracting #6: cost 22 inf + 16033 * * [misc]simplify: Extracting #7: cost 0 inf + 19477 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1936 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) 1) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 47 * * [misc]simplify: Extracting #5: cost 8 inf + 782 * * [misc]simplify: Extracting #6: cost 2 inf + 1389 * * [misc]simplify: Extracting #7: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 105 inf + 0 * * [misc]simplify: Extracting #5: cost 103 inf + 2070 * * [misc]simplify: Extracting #6: cost 17 inf + 14637 * * [misc]simplify: Extracting #7: cost 0 inf + 18351 * [exit]simplify: Simplified to (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) 1) 1) (/ (sqrt (+ (* (- (* c c) (* d d)) (* c c)) (* (* d d) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1937 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 1 * * [misc]simplify: Extracting #4: cost 74 inf + 2 * * [misc]simplify: Extracting #5: cost 136 inf + 48 * * [misc]simplify: Extracting #6: cost 132 inf + 2415 * * [misc]simplify: Extracting #7: cost 41 inf + 19166 * * [misc]simplify: Extracting #8: cost 6 inf + 28866 * * [misc]simplify: Extracting #9: cost 0 inf + 32166 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 47 inf + 0 * * [misc]simplify: Extracting #5: cost 41 inf + 206 * * [misc]simplify: Extracting #6: cost 10 inf + 4147 * * [misc]simplify: Extracting #7: cost 1 inf + 6005 * * [misc]simplify: Extracting #8: cost 0 inf + 6167 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1938 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 31 inf + 0 * * [misc]simplify: Extracting #3: cost 82 inf + 0 * * [misc]simplify: Extracting #4: cost 144 inf + 88 * * [misc]simplify: Extracting #5: cost 149 inf + 869 * * [misc]simplify: Extracting #6: cost 59 inf + 16286 * * [misc]simplify: Extracting #7: cost 7 inf + 33764 * * [misc]simplify: Extracting #8: cost 0 inf + 36822 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))))) (/ (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 31 inf + 0 * * [misc]simplify: Extracting #4: cost 51 inf + 0 * * [misc]simplify: Extracting #5: cost 43 inf + 571 * * [misc]simplify: Extracting #6: cost 24 inf + 3047 * * [misc]simplify: Extracting #7: cost 6 inf + 5163 * * [misc]simplify: Extracting #8: cost 0 inf + 7495 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))))) (/ (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1939 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 30 inf + 0 * * [misc]simplify: Extracting #3: cost 83 inf + 0 * * [misc]simplify: Extracting #4: cost 146 inf + 46 * * [misc]simplify: Extracting #5: cost 152 inf + 664 * * [misc]simplify: Extracting #6: cost 65 inf + 14114 * * [misc]simplify: Extracting #7: cost 16 inf + 26938 * * [misc]simplify: Extracting #8: cost 2 inf + 35258 * * [misc]simplify: Extracting #9: cost 0 inf + 36584 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (* (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 32 inf + 0 * * [misc]simplify: Extracting #4: cost 51 inf + 0 * * [misc]simplify: Extracting #5: cost 43 inf + 369 * * [misc]simplify: Extracting #6: cost 13 inf + 4389 * * [misc]simplify: Extracting #7: cost 2 inf + 6811 * * [misc]simplify: Extracting #8: cost 0 inf + 7655 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (* (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1940 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (250 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 29 inf + 0 * * [misc]simplify: Extracting #3: cost 80 inf + 0 * * [misc]simplify: Extracting #4: cost 143 inf + 46 * * [misc]simplify: Extracting #5: cost 143 inf + 1476 * * [misc]simplify: Extracting #6: cost 60 inf + 15918 * * [misc]simplify: Extracting #7: cost 22 inf + 24556 * * [misc]simplify: Extracting #8: cost 8 inf + 31158 * * [misc]simplify: Extracting #9: cost 0 inf + 35418 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 49 inf + 0 * * [misc]simplify: Extracting #5: cost 44 inf + 125 * * [misc]simplify: Extracting #6: cost 20 inf + 3171 * * [misc]simplify: Extracting #7: cost 1 inf + 6569 * * [misc]simplify: Extracting #8: cost 0 inf + 6851 * [exit]simplify: Simplified to (/ (sqrt (- (* c c) (* d d))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (- (* c c) (* d d))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1941 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 66 inf + 1 * * [misc]simplify: Extracting #4: cost 129 inf + 47 * * [misc]simplify: Extracting #5: cost 133 inf + 909 * * [misc]simplify: Extracting #6: cost 39 inf + 17975 * * [misc]simplify: Extracting #7: cost 0 inf + 27379 * * [misc]simplify: Extracting #8: cost 0 inf + 27219 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (* (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 47 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 288 * * [misc]simplify: Extracting #6: cost 12 inf + 3943 * * [misc]simplify: Extracting #7: cost 2 inf + 5483 * * [misc]simplify: Extracting #8: cost 0 inf + 6327 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (* (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1942 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (250 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 29 inf + 0 * * [misc]simplify: Extracting #3: cost 80 inf + 0 * * [misc]simplify: Extracting #4: cost 143 inf + 46 * * [misc]simplify: Extracting #5: cost 143 inf + 1476 * * [misc]simplify: Extracting #6: cost 60 inf + 15918 * * [misc]simplify: Extracting #7: cost 22 inf + 24556 * * [misc]simplify: Extracting #8: cost 8 inf + 31158 * * [misc]simplify: Extracting #9: cost 0 inf + 35418 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 49 inf + 0 * * [misc]simplify: Extracting #5: cost 44 inf + 125 * * [misc]simplify: Extracting #6: cost 20 inf + 3171 * * [misc]simplify: Extracting #7: cost 1 inf + 6569 * * [misc]simplify: Extracting #8: cost 0 inf + 6851 * [exit]simplify: Simplified to (/ (sqrt (- (* c c) (* d d))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (- (* c c) (* d d))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1943 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 66 inf + 1 * * [misc]simplify: Extracting #4: cost 128 inf + 89 * * [misc]simplify: Extracting #5: cost 129 inf + 1357 * * [misc]simplify: Extracting #6: cost 35 inf + 17981 * * [misc]simplify: Extracting #7: cost 1 inf + 28257 * * [misc]simplify: Extracting #8: cost 0 inf + 28179 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))))) (/ (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 47 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 288 * * [misc]simplify: Extracting #6: cost 12 inf + 3943 * * [misc]simplify: Extracting #7: cost 2 inf + 5483 * * [misc]simplify: Extracting #8: cost 0 inf + 6327 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))))) (/ (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1944 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (250 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 29 inf + 0 * * [misc]simplify: Extracting #3: cost 80 inf + 0 * * [misc]simplify: Extracting #4: cost 143 inf + 46 * * [misc]simplify: Extracting #5: cost 143 inf + 1476 * * [misc]simplify: Extracting #6: cost 60 inf + 15918 * * [misc]simplify: Extracting #7: cost 22 inf + 24556 * * [misc]simplify: Extracting #8: cost 8 inf + 31158 * * [misc]simplify: Extracting #9: cost 0 inf + 35418 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 49 inf + 0 * * [misc]simplify: Extracting #5: cost 44 inf + 125 * * [misc]simplify: Extracting #6: cost 20 inf + 3171 * * [misc]simplify: Extracting #7: cost 1 inf + 6569 * * [misc]simplify: Extracting #8: cost 0 inf + 6851 * [exit]simplify: Simplified to (/ (sqrt (- (* c c) (* d d))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (- (* c c) (* d d))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1945 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 1 * * [misc]simplify: Extracting #3: cost 66 inf + 1 * * [misc]simplify: Extracting #4: cost 128 inf + 89 * * [misc]simplify: Extracting #5: cost 131 inf + 1193 * * [misc]simplify: Extracting #6: cost 36 inf + 17057 * * [misc]simplify: Extracting #7: cost 2 inf + 26251 * * [misc]simplify: Extracting #8: cost 0 inf + 27539 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 47 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 288 * * [misc]simplify: Extracting #6: cost 12 inf + 3943 * * [misc]simplify: Extracting #7: cost 2 inf + 5483 * * [misc]simplify: Extracting #8: cost 0 inf + 6327 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1946 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 31 inf + 0 * * [misc]simplify: Extracting #3: cost 82 inf + 0 * * [misc]simplify: Extracting #4: cost 145 inf + 46 * * [misc]simplify: Extracting #5: cost 150 inf + 787 * * [misc]simplify: Extracting #6: cost 64 inf + 15276 * * [misc]simplify: Extracting #7: cost 18 inf + 26812 * * [misc]simplify: Extracting #8: cost 1 inf + 35902 * * [misc]simplify: Extracting #9: cost 0 inf + 36506 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 31 inf + 0 * * [misc]simplify: Extracting #4: cost 51 inf + 0 * * [misc]simplify: Extracting #5: cost 43 inf + 571 * * [misc]simplify: Extracting #6: cost 24 inf + 3047 * * [misc]simplify: Extracting #7: cost 6 inf + 5203 * * [misc]simplify: Extracting #8: cost 0 inf + 7495 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1947 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (205 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 64 inf + 0 * * [misc]simplify: Extracting #5: cost 127 inf + 46 * * [misc]simplify: Extracting #6: cost 129 inf + 1112 * * [misc]simplify: Extracting #7: cost 27 inf + 18794 * * [misc]simplify: Extracting #8: cost 0 inf + 26892 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 45 inf + 0 * * [misc]simplify: Extracting #5: cost 32 inf + 860 * * [misc]simplify: Extracting #6: cost 4 inf + 4595 * * [misc]simplify: Extracting #7: cost 0 inf + 5643 * [exit]simplify: Simplified to (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1948 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (231 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 0 * * [misc]simplify: Extracting #3: cost 74 inf + 0 * * [misc]simplify: Extracting #4: cost 136 inf + 88 * * [misc]simplify: Extracting #5: cost 137 inf + 1436 * * [misc]simplify: Extracting #6: cost 42 inf + 18582 * * [misc]simplify: Extracting #7: cost 7 inf + 28098 * * [misc]simplify: Extracting #8: cost 0 inf + 31598 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (* (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 32 inf + 0 * * [misc]simplify: Extracting #4: cost 51 inf + 0 * * [misc]simplify: Extracting #5: cost 43 inf + 369 * * [misc]simplify: Extracting #6: cost 13 inf + 4429 * * [misc]simplify: Extracting #7: cost 2 inf + 6851 * * [misc]simplify: Extracting #8: cost 0 inf + 7695 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (* (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1949 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 0 * * [misc]simplify: Extracting #3: cost 72 inf + 0 * * [misc]simplify: Extracting #4: cost 135 inf + 46 * * [misc]simplify: Extracting #5: cost 134 inf + 1518 * * [misc]simplify: Extracting #6: cost 32 inf + 20840 * * [misc]simplify: Extracting #7: cost 1 inf + 30312 * * [misc]simplify: Extracting #8: cost 0 inf + 30554 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 31 inf + 0 * * [misc]simplify: Extracting #4: cost 51 inf + 0 * * [misc]simplify: Extracting #5: cost 43 inf + 571 * * [misc]simplify: Extracting #6: cost 24 inf + 3047 * * [misc]simplify: Extracting #7: cost 6 inf + 5203 * * [misc]simplify: Extracting #8: cost 0 inf + 7335 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1950 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 63 inf + 1 * * [misc]simplify: Extracting #4: cost 125 inf + 89 * * [misc]simplify: Extracting #5: cost 128 inf + 1233 * * [misc]simplify: Extracting #6: cost 36 inf + 16971 * * [misc]simplify: Extracting #7: cost 1 inf + 26207 * * [misc]simplify: Extracting #8: cost 0 inf + 26409 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 31 inf + 0 * * [misc]simplify: Extracting #4: cost 49 inf + 0 * * [misc]simplify: Extracting #5: cost 44 inf + 125 * * [misc]simplify: Extracting #6: cost 20 inf + 3211 * * [misc]simplify: Extracting #7: cost 1 inf + 6529 * * [misc]simplify: Extracting #8: cost 0 inf + 6811 * [exit]simplify: Simplified to (/ (sqrt (- (* c c) (* d d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (sqrt (- (* c c) (* d d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1951 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 0 * * [misc]simplify: Extracting #3: cost 72 inf + 0 * * [misc]simplify: Extracting #4: cost 135 inf + 46 * * [misc]simplify: Extracting #5: cost 134 inf + 1518 * * [misc]simplify: Extracting #6: cost 32 inf + 20840 * * [misc]simplify: Extracting #7: cost 1 inf + 30312 * * [misc]simplify: Extracting #8: cost 0 inf + 30554 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 31 inf + 0 * * [misc]simplify: Extracting #4: cost 51 inf + 0 * * [misc]simplify: Extracting #5: cost 43 inf + 571 * * [misc]simplify: Extracting #6: cost 24 inf + 3047 * * [misc]simplify: Extracting #7: cost 6 inf + 5203 * * [misc]simplify: Extracting #8: cost 0 inf + 7335 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1952 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 63 inf + 1 * * [misc]simplify: Extracting #4: cost 125 inf + 89 * * [misc]simplify: Extracting #5: cost 121 inf + 2247 * * [misc]simplify: Extracting #6: cost 34 inf + 17575 * * [misc]simplify: Extracting #7: cost 1 inf + 26047 * * [misc]simplify: Extracting #8: cost 0 inf + 26329 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 31 inf + 0 * * [misc]simplify: Extracting #4: cost 49 inf + 0 * * [misc]simplify: Extracting #5: cost 44 inf + 125 * * [misc]simplify: Extracting #6: cost 20 inf + 3211 * * [misc]simplify: Extracting #7: cost 1 inf + 6529 * * [misc]simplify: Extracting #8: cost 0 inf + 6811 * [exit]simplify: Simplified to (/ (sqrt (- (* c c) (* d d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (- (* c c) (* d d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1953 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 0 * * [misc]simplify: Extracting #3: cost 72 inf + 0 * * [misc]simplify: Extracting #4: cost 135 inf + 46 * * [misc]simplify: Extracting #5: cost 134 inf + 1518 * * [misc]simplify: Extracting #6: cost 32 inf + 20840 * * [misc]simplify: Extracting #7: cost 1 inf + 30312 * * [misc]simplify: Extracting #8: cost 0 inf + 30554 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 31 inf + 0 * * [misc]simplify: Extracting #4: cost 51 inf + 0 * * [misc]simplify: Extracting #5: cost 43 inf + 571 * * [misc]simplify: Extracting #6: cost 24 inf + 3047 * * [misc]simplify: Extracting #7: cost 6 inf + 5203 * * [misc]simplify: Extracting #8: cost 0 inf + 7335 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1954 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 63 inf + 1 * * [misc]simplify: Extracting #4: cost 126 inf + 47 * * [misc]simplify: Extracting #5: cost 129 inf + 1030 * * [misc]simplify: Extracting #6: cost 37 inf + 18013 * * [misc]simplify: Extracting #7: cost 1 inf + 25927 * * [misc]simplify: Extracting #8: cost 0 inf + 26169 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 31 inf + 0 * * [misc]simplify: Extracting #4: cost 49 inf + 0 * * [misc]simplify: Extracting #5: cost 44 inf + 125 * * [misc]simplify: Extracting #6: cost 20 inf + 3211 * * [misc]simplify: Extracting #7: cost 1 inf + 6529 * * [misc]simplify: Extracting #8: cost 0 inf + 6811 * [exit]simplify: Simplified to (/ (sqrt (- (* c c) (* d d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (- (* c c) (* d d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1955 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 30 inf + 0 * * [misc]simplify: Extracting #3: cost 83 inf + 0 * * [misc]simplify: Extracting #4: cost 146 inf + 46 * * [misc]simplify: Extracting #5: cost 149 inf + 950 * * [misc]simplify: Extracting #6: cost 45 inf + 19196 * * [misc]simplify: Extracting #7: cost 15 inf + 27180 * * [misc]simplify: Extracting #8: cost 4 inf + 33976 * * [misc]simplify: Extracting #9: cost 0 inf + 36348 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 32 inf + 0 * * [misc]simplify: Extracting #4: cost 51 inf + 0 * * [misc]simplify: Extracting #5: cost 43 inf + 369 * * [misc]simplify: Extracting #6: cost 13 inf + 4469 * * [misc]simplify: Extracting #7: cost 2 inf + 6811 * * [misc]simplify: Extracting #8: cost 0 inf + 7655 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1956 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (231 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 0 * * [misc]simplify: Extracting #3: cost 74 inf + 0 * * [misc]simplify: Extracting #4: cost 136 inf + 88 * * [misc]simplify: Extracting #5: cost 137 inf + 1436 * * [misc]simplify: Extracting #6: cost 42 inf + 18582 * * [misc]simplify: Extracting #7: cost 7 inf + 28098 * * [misc]simplify: Extracting #8: cost 0 inf + 31598 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 32 inf + 0 * * [misc]simplify: Extracting #4: cost 51 inf + 0 * * [misc]simplify: Extracting #5: cost 43 inf + 369 * * [misc]simplify: Extracting #6: cost 13 inf + 4469 * * [misc]simplify: Extracting #7: cost 2 inf + 6851 * * [misc]simplify: Extracting #8: cost 0 inf + 7695 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1957 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 66 inf + 0 * * [misc]simplify: Extracting #5: cost 126 inf + 87 * * [misc]simplify: Extracting #6: cost 118 inf + 2530 * * [misc]simplify: Extracting #7: cost 19 inf + 21772 * * [misc]simplify: Extracting #8: cost 0 inf + 26932 * * [misc]simplify: Extracting #9: cost 0 inf + 26852 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 45 inf + 0 * * [misc]simplify: Extracting #5: cost 32 inf + 860 * * [misc]simplify: Extracting #6: cost 4 inf + 4635 * * [misc]simplify: Extracting #7: cost 0 inf + 5683 * [exit]simplify: Simplified to (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1958 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 73 inf + 0 * * [misc]simplify: Extracting #4: cost 136 inf + 46 * * [misc]simplify: Extracting #5: cost 135 inf + 1558 * * [misc]simplify: Extracting #6: cost 46 inf + 17172 * * [misc]simplify: Extracting #7: cost 8 inf + 26732 * * [misc]simplify: Extracting #8: cost 0 inf + 30876 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 32 inf + 0 * * [misc]simplify: Extracting #4: cost 51 inf + 0 * * [misc]simplify: Extracting #5: cost 43 inf + 369 * * [misc]simplify: Extracting #6: cost 13 inf + 4469 * * [misc]simplify: Extracting #7: cost 2 inf + 6731 * * [misc]simplify: Extracting #8: cost 0 inf + 7495 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1959 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 63 inf + 1 * * [misc]simplify: Extracting #4: cost 125 inf + 89 * * [misc]simplify: Extracting #5: cost 128 inf + 1233 * * [misc]simplify: Extracting #6: cost 35 inf + 17493 * * [misc]simplify: Extracting #7: cost 3 inf + 25803 * * [misc]simplify: Extracting #8: cost 0 inf + 26489 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 32 inf + 0 * * [misc]simplify: Extracting #4: cost 51 inf + 0 * * [misc]simplify: Extracting #5: cost 43 inf + 571 * * [misc]simplify: Extracting #6: cost 24 inf + 3047 * * [misc]simplify: Extracting #7: cost 3 inf + 5929 * * [misc]simplify: Extracting #8: cost 0 inf + 7255 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1960 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 73 inf + 0 * * [misc]simplify: Extracting #4: cost 136 inf + 46 * * [misc]simplify: Extracting #5: cost 135 inf + 1558 * * [misc]simplify: Extracting #6: cost 46 inf + 17172 * * [misc]simplify: Extracting #7: cost 8 inf + 26732 * * [misc]simplify: Extracting #8: cost 0 inf + 30876 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 32 inf + 0 * * [misc]simplify: Extracting #4: cost 51 inf + 0 * * [misc]simplify: Extracting #5: cost 43 inf + 369 * * [misc]simplify: Extracting #6: cost 13 inf + 4469 * * [misc]simplify: Extracting #7: cost 2 inf + 6731 * * [misc]simplify: Extracting #8: cost 0 inf + 7495 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1961 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 63 inf + 1 * * [misc]simplify: Extracting #4: cost 125 inf + 89 * * [misc]simplify: Extracting #5: cost 123 inf + 1923 * * [misc]simplify: Extracting #6: cost 34 inf + 18097 * * [misc]simplify: Extracting #7: cost 1 inf + 26127 * * [misc]simplify: Extracting #8: cost 0 inf + 26409 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 32 inf + 0 * * [misc]simplify: Extracting #4: cost 51 inf + 0 * * [misc]simplify: Extracting #5: cost 43 inf + 571 * * [misc]simplify: Extracting #6: cost 24 inf + 3047 * * [misc]simplify: Extracting #7: cost 3 inf + 5929 * * [misc]simplify: Extracting #8: cost 0 inf + 7255 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1962 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 73 inf + 0 * * [misc]simplify: Extracting #4: cost 136 inf + 46 * * [misc]simplify: Extracting #5: cost 135 inf + 1558 * * [misc]simplify: Extracting #6: cost 46 inf + 17172 * * [misc]simplify: Extracting #7: cost 8 inf + 26732 * * [misc]simplify: Extracting #8: cost 0 inf + 30876 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 32 inf + 0 * * [misc]simplify: Extracting #4: cost 51 inf + 0 * * [misc]simplify: Extracting #5: cost 43 inf + 369 * * [misc]simplify: Extracting #6: cost 13 inf + 4469 * * [misc]simplify: Extracting #7: cost 2 inf + 6731 * * [misc]simplify: Extracting #8: cost 0 inf + 7495 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1963 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 63 inf + 1 * * [misc]simplify: Extracting #4: cost 126 inf + 47 * * [misc]simplify: Extracting #5: cost 126 inf + 1437 * * [misc]simplify: Extracting #6: cost 34 inf + 17137 * * [misc]simplify: Extracting #7: cost 0 inf + 26489 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 32 inf + 0 * * [misc]simplify: Extracting #4: cost 51 inf + 0 * * [misc]simplify: Extracting #5: cost 43 inf + 571 * * [misc]simplify: Extracting #6: cost 24 inf + 3047 * * [misc]simplify: Extracting #7: cost 3 inf + 5929 * * [misc]simplify: Extracting #8: cost 0 inf + 7255 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1964 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 29 inf + 0 * * [misc]simplify: Extracting #3: cost 80 inf + 0 * * [misc]simplify: Extracting #4: cost 143 inf + 46 * * [misc]simplify: Extracting #5: cost 145 inf + 1193 * * [misc]simplify: Extracting #6: cost 59 inf + 16124 * * [misc]simplify: Extracting #7: cost 9 inf + 31556 * * [misc]simplify: Extracting #8: cost 1 inf + 34818 * * [misc]simplify: Extracting #9: cost 0 inf + 35342 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 49 inf + 0 * * [misc]simplify: Extracting #5: cost 44 inf + 125 * * [misc]simplify: Extracting #6: cost 20 inf + 3171 * * [misc]simplify: Extracting #7: cost 1 inf + 6609 * * [misc]simplify: Extracting #8: cost 0 inf + 6851 * [exit]simplify: Simplified to (/ (sqrt (- (* c c) (* d d))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (- (* c c) (* d d))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1965 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 0 * * [misc]simplify: Extracting #3: cost 72 inf + 0 * * [misc]simplify: Extracting #4: cost 135 inf + 46 * * [misc]simplify: Extracting #5: cost 134 inf + 1518 * * [misc]simplify: Extracting #6: cost 34 inf + 19714 * * [misc]simplify: Extracting #7: cost 3 inf + 29306 * * [misc]simplify: Extracting #8: cost 0 inf + 30554 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 31 inf + 0 * * [misc]simplify: Extracting #4: cost 51 inf + 0 * * [misc]simplify: Extracting #5: cost 43 inf + 571 * * [misc]simplify: Extracting #6: cost 24 inf + 3047 * * [misc]simplify: Extracting #7: cost 6 inf + 5123 * * [misc]simplify: Extracting #8: cost 0 inf + 7335 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1966 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 73 inf + 0 * * [misc]simplify: Extracting #4: cost 136 inf + 46 * * [misc]simplify: Extracting #5: cost 135 inf + 1558 * * [misc]simplify: Extracting #6: cost 45 inf + 17374 * * [misc]simplify: Extracting #7: cost 3 inf + 29628 * * [misc]simplify: Extracting #8: cost 0 inf + 30876 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 32 inf + 0 * * [misc]simplify: Extracting #4: cost 51 inf + 0 * * [misc]simplify: Extracting #5: cost 43 inf + 369 * * [misc]simplify: Extracting #6: cost 13 inf + 4349 * * [misc]simplify: Extracting #7: cost 2 inf + 6691 * * [misc]simplify: Extracting #8: cost 0 inf + 7495 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1967 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 65 inf + 0 * * [misc]simplify: Extracting #5: cost 124 inf + 129 * * [misc]simplify: Extracting #6: cost 110 inf + 3664 * * [misc]simplify: Extracting #7: cost 34 inf + 17576 * * [misc]simplify: Extracting #8: cost 1 inf + 26046 * * [misc]simplify: Extracting #9: cost 0 inf + 26410 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 45 inf + 0 * * [misc]simplify: Extracting #5: cost 32 inf + 860 * * [misc]simplify: Extracting #6: cost 4 inf + 4515 * * [misc]simplify: Extracting #7: cost 0 inf + 5483 * [exit]simplify: Simplified to (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1968 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 62 inf + 1 * * [misc]simplify: Extracting #4: cost 125 inf + 47 * * [misc]simplify: Extracting #5: cost 125 inf + 1437 * * [misc]simplify: Extracting #6: cost 35 inf + 16975 * * [misc]simplify: Extracting #7: cost 1 inf + 25805 * * [misc]simplify: Extracting #8: cost 0 inf + 26007 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 47 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 288 * * [misc]simplify: Extracting #6: cost 12 inf + 3943 * * [misc]simplify: Extracting #7: cost 2 inf + 5403 * * [misc]simplify: Extracting #8: cost 0 inf + 6167 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1969 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 65 inf + 0 * * [misc]simplify: Extracting #5: cost 124 inf + 129 * * [misc]simplify: Extracting #6: cost 110 inf + 3664 * * [misc]simplify: Extracting #7: cost 34 inf + 17576 * * [misc]simplify: Extracting #8: cost 1 inf + 26046 * * [misc]simplify: Extracting #9: cost 0 inf + 26410 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 45 inf + 0 * * [misc]simplify: Extracting #5: cost 32 inf + 860 * * [misc]simplify: Extracting #6: cost 4 inf + 4515 * * [misc]simplify: Extracting #7: cost 0 inf + 5483 * [exit]simplify: Simplified to (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1970 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (225 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 62 inf + 1 * * [misc]simplify: Extracting #4: cost 125 inf + 47 * * [misc]simplify: Extracting #5: cost 125 inf + 1317 * * [misc]simplify: Extracting #6: cost 35 inf + 17091 * * [misc]simplify: Extracting #7: cost 1 inf + 25603 * * [misc]simplify: Extracting #8: cost 0 inf + 25847 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 47 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 288 * * [misc]simplify: Extracting #6: cost 12 inf + 3943 * * [misc]simplify: Extracting #7: cost 2 inf + 5403 * * [misc]simplify: Extracting #8: cost 0 inf + 6167 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1971 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 65 inf + 0 * * [misc]simplify: Extracting #5: cost 124 inf + 129 * * [misc]simplify: Extracting #6: cost 110 inf + 3664 * * [misc]simplify: Extracting #7: cost 34 inf + 17576 * * [misc]simplify: Extracting #8: cost 1 inf + 26046 * * [misc]simplify: Extracting #9: cost 0 inf + 26410 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 45 inf + 0 * * [misc]simplify: Extracting #5: cost 32 inf + 860 * * [misc]simplify: Extracting #6: cost 4 inf + 4515 * * [misc]simplify: Extracting #7: cost 0 inf + 5483 * [exit]simplify: Simplified to (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1972 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 62 inf + 1 * * [misc]simplify: Extracting #4: cost 125 inf + 47 * * [misc]simplify: Extracting #5: cost 115 inf + 2493 * * [misc]simplify: Extracting #6: cost 23 inf + 20279 * * [misc]simplify: Extracting #7: cost 0 inf + 25767 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 47 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 288 * * [misc]simplify: Extracting #6: cost 12 inf + 3943 * * [misc]simplify: Extracting #7: cost 2 inf + 5403 * * [misc]simplify: Extracting #8: cost 0 inf + 6167 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1973 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 65 inf + 1 * * [misc]simplify: Extracting #5: cost 128 inf + 47 * * [misc]simplify: Extracting #6: cost 130 inf + 1073 * * [misc]simplify: Extracting #7: cost 44 inf + 14519 * * [misc]simplify: Extracting #8: cost 11 inf + 22467 * * [misc]simplify: Extracting #9: cost 3 inf + 25287 * * [misc]simplify: Extracting #10: cost 1 inf + 26213 * * [misc]simplify: Extracting #11: cost 0 inf + 26698 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 47 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 288 * * [misc]simplify: Extracting #6: cost 12 inf + 3943 * * [misc]simplify: Extracting #7: cost 0 inf + 6327 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1974 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 61 inf + 1 * * [misc]simplify: Extracting #5: cost 123 inf + 89 * * [misc]simplify: Extracting #6: cost 126 inf + 1153 * * [misc]simplify: Extracting #7: cost 35 inf + 17169 * * [misc]simplify: Extracting #8: cost 4 inf + 23993 * * [misc]simplify: Extracting #9: cost 0 inf + 25163 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 31 inf + 0 * * [misc]simplify: Extracting #4: cost 49 inf + 0 * * [misc]simplify: Extracting #5: cost 44 inf + 125 * * [misc]simplify: Extracting #6: cost 20 inf + 3171 * * [misc]simplify: Extracting #7: cost 0 inf + 6931 * * [misc]simplify: Extracting #8: cost 0 inf + 6811 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1975 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 61 inf + 1 * * [misc]simplify: Extracting #5: cost 123 inf + 89 * * [misc]simplify: Extracting #6: cost 126 inf + 1153 * * [misc]simplify: Extracting #7: cost 35 inf + 17169 * * [misc]simplify: Extracting #8: cost 3 inf + 24275 * * [misc]simplify: Extracting #9: cost 0 inf + 25163 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 32 inf + 0 * * [misc]simplify: Extracting #4: cost 51 inf + 0 * * [misc]simplify: Extracting #5: cost 43 inf + 571 * * [misc]simplify: Extracting #6: cost 24 inf + 3047 * * [misc]simplify: Extracting #7: cost 1 inf + 6733 * * [misc]simplify: Extracting #8: cost 0 inf + 7255 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1976 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 60 inf + 1 * * [misc]simplify: Extracting #5: cost 123 inf + 47 * * [misc]simplify: Extracting #6: cost 128 inf + 788 * * [misc]simplify: Extracting #7: cost 42 inf + 15353 * * [misc]simplify: Extracting #8: cost 1 inf + 24839 * * [misc]simplify: Extracting #9: cost 0 inf + 24921 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 47 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 288 * * [misc]simplify: Extracting #6: cost 12 inf + 3943 * * [misc]simplify: Extracting #7: cost 0 inf + 6167 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1977 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 56 inf + 1 * * [misc]simplify: Extracting #4: cost 119 inf + 47 * * [misc]simplify: Extracting #5: cost 122 inf + 1072 * * [misc]simplify: Extracting #6: cost 41 inf + 13987 * * [misc]simplify: Extracting #7: cost 4 inf + 22663 * * [misc]simplify: Extracting #8: cost 0 inf + 23711 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 44 inf + 0 * * [misc]simplify: Extracting #5: cost 34 inf + 734 * * [misc]simplify: Extracting #6: cost 8 inf + 4025 * * [misc]simplify: Extracting #7: cost 0 inf + 5201 * * [misc]simplify: Extracting #8: cost 0 inf + 5161 * [exit]simplify: Simplified to (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1978 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 60 inf + 1 * * [misc]simplify: Extracting #5: cost 123 inf + 47 * * [misc]simplify: Extracting #6: cost 128 inf + 788 * * [misc]simplify: Extracting #7: cost 42 inf + 15353 * * [misc]simplify: Extracting #8: cost 1 inf + 24839 * * [misc]simplify: Extracting #9: cost 0 inf + 24921 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 47 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 288 * * [misc]simplify: Extracting #6: cost 12 inf + 3943 * * [misc]simplify: Extracting #7: cost 0 inf + 6167 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1979 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt 1))) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 56 inf + 1 * * [misc]simplify: Extracting #4: cost 119 inf + 47 * * [misc]simplify: Extracting #5: cost 122 inf + 1072 * * [misc]simplify: Extracting #6: cost 41 inf + 13987 * * [misc]simplify: Extracting #7: cost 4 inf + 22663 * * [misc]simplify: Extracting #8: cost 0 inf + 23711 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 44 inf + 0 * * [misc]simplify: Extracting #5: cost 34 inf + 734 * * [misc]simplify: Extracting #6: cost 8 inf + 4025 * * [misc]simplify: Extracting #7: cost 0 inf + 5201 * * [misc]simplify: Extracting #8: cost 0 inf + 5161 * [exit]simplify: Simplified to (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1980 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 60 inf + 1 * * [misc]simplify: Extracting #5: cost 123 inf + 47 * * [misc]simplify: Extracting #6: cost 128 inf + 788 * * [misc]simplify: Extracting #7: cost 42 inf + 15353 * * [misc]simplify: Extracting #8: cost 1 inf + 24839 * * [misc]simplify: Extracting #9: cost 0 inf + 24921 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 47 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 288 * * [misc]simplify: Extracting #6: cost 12 inf + 3943 * * [misc]simplify: Extracting #7: cost 0 inf + 6167 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1981 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 56 inf + 1 * * [misc]simplify: Extracting #4: cost 119 inf + 47 * * [misc]simplify: Extracting #5: cost 122 inf + 1072 * * [misc]simplify: Extracting #6: cost 40 inf + 14391 * * [misc]simplify: Extracting #7: cost 4 inf + 22663 * * [misc]simplify: Extracting #8: cost 0 inf + 23711 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 44 inf + 0 * * [misc]simplify: Extracting #5: cost 34 inf + 734 * * [misc]simplify: Extracting #6: cost 8 inf + 4025 * * [misc]simplify: Extracting #7: cost 0 inf + 5201 * * [misc]simplify: Extracting #8: cost 0 inf + 5161 * [exit]simplify: Simplified to (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1982 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 29 inf + 0 * * [misc]simplify: Extracting #3: cost 80 inf + 0 * * [misc]simplify: Extracting #4: cost 143 inf + 46 * * [misc]simplify: Extracting #5: cost 145 inf + 1193 * * [misc]simplify: Extracting #6: cost 59 inf + 16124 * * [misc]simplify: Extracting #7: cost 9 inf + 31556 * * [misc]simplify: Extracting #8: cost 1 inf + 34818 * * [misc]simplify: Extracting #9: cost 0 inf + 35342 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 49 inf + 0 * * [misc]simplify: Extracting #5: cost 44 inf + 125 * * [misc]simplify: Extracting #6: cost 20 inf + 3171 * * [misc]simplify: Extracting #7: cost 1 inf + 6609 * * [misc]simplify: Extracting #8: cost 0 inf + 6851 * [exit]simplify: Simplified to (/ (sqrt (- (* c c) (* d d))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (- (* c c) (* d d))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 1983 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 0 * * [misc]simplify: Extracting #3: cost 72 inf + 0 * * [misc]simplify: Extracting #4: cost 135 inf + 46 * * [misc]simplify: Extracting #5: cost 134 inf + 1518 * * [misc]simplify: Extracting #6: cost 34 inf + 19714 * * [misc]simplify: Extracting #7: cost 3 inf + 29306 * * [misc]simplify: Extracting #8: cost 0 inf + 30554 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 31 inf + 0 * * [misc]simplify: Extracting #4: cost 51 inf + 0 * * [misc]simplify: Extracting #5: cost 43 inf + 571 * * [misc]simplify: Extracting #6: cost 24 inf + 3047 * * [misc]simplify: Extracting #7: cost 6 inf + 5123 * * [misc]simplify: Extracting #8: cost 0 inf + 7335 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1984 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 73 inf + 0 * * [misc]simplify: Extracting #4: cost 136 inf + 46 * * [misc]simplify: Extracting #5: cost 135 inf + 1558 * * [misc]simplify: Extracting #6: cost 45 inf + 17374 * * [misc]simplify: Extracting #7: cost 3 inf + 29628 * * [misc]simplify: Extracting #8: cost 0 inf + 30876 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 32 inf + 0 * * [misc]simplify: Extracting #4: cost 51 inf + 0 * * [misc]simplify: Extracting #5: cost 43 inf + 369 * * [misc]simplify: Extracting #6: cost 13 inf + 4349 * * [misc]simplify: Extracting #7: cost 2 inf + 6691 * * [misc]simplify: Extracting #8: cost 0 inf + 7495 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1985 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 65 inf + 0 * * [misc]simplify: Extracting #5: cost 124 inf + 129 * * [misc]simplify: Extracting #6: cost 110 inf + 3664 * * [misc]simplify: Extracting #7: cost 34 inf + 17576 * * [misc]simplify: Extracting #8: cost 1 inf + 26046 * * [misc]simplify: Extracting #9: cost 0 inf + 26410 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 45 inf + 0 * * [misc]simplify: Extracting #5: cost 32 inf + 860 * * [misc]simplify: Extracting #6: cost 4 inf + 4515 * * [misc]simplify: Extracting #7: cost 0 inf + 5483 * [exit]simplify: Simplified to (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1986 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 62 inf + 1 * * [misc]simplify: Extracting #4: cost 125 inf + 47 * * [misc]simplify: Extracting #5: cost 125 inf + 1437 * * [misc]simplify: Extracting #6: cost 35 inf + 16975 * * [misc]simplify: Extracting #7: cost 1 inf + 25805 * * [misc]simplify: Extracting #8: cost 0 inf + 26007 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 47 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 288 * * [misc]simplify: Extracting #6: cost 12 inf + 3943 * * [misc]simplify: Extracting #7: cost 2 inf + 5403 * * [misc]simplify: Extracting #8: cost 0 inf + 6167 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1987 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 65 inf + 0 * * [misc]simplify: Extracting #5: cost 124 inf + 129 * * [misc]simplify: Extracting #6: cost 110 inf + 3664 * * [misc]simplify: Extracting #7: cost 34 inf + 17576 * * [misc]simplify: Extracting #8: cost 1 inf + 26046 * * [misc]simplify: Extracting #9: cost 0 inf + 26410 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 45 inf + 0 * * [misc]simplify: Extracting #5: cost 32 inf + 860 * * [misc]simplify: Extracting #6: cost 4 inf + 4515 * * [misc]simplify: Extracting #7: cost 0 inf + 5483 * [exit]simplify: Simplified to (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1988 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (225 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 62 inf + 1 * * [misc]simplify: Extracting #4: cost 125 inf + 47 * * [misc]simplify: Extracting #5: cost 125 inf + 1317 * * [misc]simplify: Extracting #6: cost 35 inf + 17091 * * [misc]simplify: Extracting #7: cost 1 inf + 25603 * * [misc]simplify: Extracting #8: cost 0 inf + 25847 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 47 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 288 * * [misc]simplify: Extracting #6: cost 12 inf + 3943 * * [misc]simplify: Extracting #7: cost 2 inf + 5403 * * [misc]simplify: Extracting #8: cost 0 inf + 6167 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1989 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 65 inf + 0 * * [misc]simplify: Extracting #5: cost 124 inf + 129 * * [misc]simplify: Extracting #6: cost 110 inf + 3664 * * [misc]simplify: Extracting #7: cost 34 inf + 17576 * * [misc]simplify: Extracting #8: cost 1 inf + 26046 * * [misc]simplify: Extracting #9: cost 0 inf + 26410 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 45 inf + 0 * * [misc]simplify: Extracting #5: cost 32 inf + 860 * * [misc]simplify: Extracting #6: cost 4 inf + 4515 * * [misc]simplify: Extracting #7: cost 0 inf + 5483 * [exit]simplify: Simplified to (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1990 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 62 inf + 1 * * [misc]simplify: Extracting #4: cost 125 inf + 47 * * [misc]simplify: Extracting #5: cost 115 inf + 2493 * * [misc]simplify: Extracting #6: cost 23 inf + 20279 * * [misc]simplify: Extracting #7: cost 0 inf + 25767 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 47 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 288 * * [misc]simplify: Extracting #6: cost 12 inf + 3943 * * [misc]simplify: Extracting #7: cost 2 inf + 5403 * * [misc]simplify: Extracting #8: cost 0 inf + 6167 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1991 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 64 inf + 1 * * [misc]simplify: Extracting #5: cost 126 inf + 89 * * [misc]simplify: Extracting #6: cost 125 inf + 1681 * * [misc]simplify: Extracting #7: cost 27 inf + 18951 * * [misc]simplify: Extracting #8: cost 6 inf + 24155 * * [misc]simplify: Extracting #9: cost 0 inf + 27013 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 47 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 288 * * [misc]simplify: Extracting #6: cost 12 inf + 3943 * * [misc]simplify: Extracting #7: cost 0 inf + 6327 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1992 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 61 inf + 1 * * [misc]simplify: Extracting #5: cost 123 inf + 89 * * [misc]simplify: Extracting #6: cost 125 inf + 1355 * * [misc]simplify: Extracting #7: cost 30 inf + 17579 * * [misc]simplify: Extracting #8: cost 1 inf + 25281 * * [misc]simplify: Extracting #9: cost 0 inf + 25403 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 31 inf + 0 * * [misc]simplify: Extracting #4: cost 49 inf + 0 * * [misc]simplify: Extracting #5: cost 44 inf + 125 * * [misc]simplify: Extracting #6: cost 20 inf + 3171 * * [misc]simplify: Extracting #7: cost 0 inf + 6931 * * [misc]simplify: Extracting #8: cost 0 inf + 6811 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1993 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 61 inf + 1 * * [misc]simplify: Extracting #5: cost 123 inf + 89 * * [misc]simplify: Extracting #6: cost 126 inf + 1193 * * [misc]simplify: Extracting #7: cost 29 inf + 17861 * * [misc]simplify: Extracting #8: cost 1 inf + 25281 * * [misc]simplify: Extracting #9: cost 0 inf + 25403 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 32 inf + 0 * * [misc]simplify: Extracting #4: cost 51 inf + 0 * * [misc]simplify: Extracting #5: cost 43 inf + 571 * * [misc]simplify: Extracting #6: cost 24 inf + 3047 * * [misc]simplify: Extracting #7: cost 1 inf + 6733 * * [misc]simplify: Extracting #8: cost 0 inf + 7255 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 1994 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 60 inf + 1 * * [misc]simplify: Extracting #5: cost 123 inf + 47 * * [misc]simplify: Extracting #6: cost 124 inf + 1355 * * [misc]simplify: Extracting #7: cost 43 inf + 14991 * * [misc]simplify: Extracting #8: cost 3 inf + 24033 * * [misc]simplify: Extracting #9: cost 0 inf + 25001 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 47 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 288 * * [misc]simplify: Extracting #6: cost 12 inf + 3943 * * [misc]simplify: Extracting #7: cost 0 inf + 6167 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1995 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt 1)) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 56 inf + 1 * * [misc]simplify: Extracting #4: cost 119 inf + 47 * * [misc]simplify: Extracting #5: cost 121 inf + 1234 * * [misc]simplify: Extracting #6: cost 41 inf + 13987 * * [misc]simplify: Extracting #7: cost 4 inf + 22663 * * [misc]simplify: Extracting #8: cost 0 inf + 23711 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 44 inf + 0 * * [misc]simplify: Extracting #5: cost 34 inf + 734 * * [misc]simplify: Extracting #6: cost 8 inf + 4025 * * [misc]simplify: Extracting #7: cost 0 inf + 5201 * * [misc]simplify: Extracting #8: cost 0 inf + 5161 * [exit]simplify: Simplified to (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1996 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 60 inf + 1 * * [misc]simplify: Extracting #5: cost 123 inf + 47 * * [misc]simplify: Extracting #6: cost 124 inf + 1355 * * [misc]simplify: Extracting #7: cost 43 inf + 14991 * * [misc]simplify: Extracting #8: cost 3 inf + 24033 * * [misc]simplify: Extracting #9: cost 0 inf + 25001 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 47 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 288 * * [misc]simplify: Extracting #6: cost 12 inf + 3943 * * [misc]simplify: Extracting #7: cost 0 inf + 6167 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1997 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 56 inf + 1 * * [misc]simplify: Extracting #4: cost 117 inf + 131 * * [misc]simplify: Extracting #5: cost 112 inf + 2410 * * [misc]simplify: Extracting #6: cost 26 inf + 16977 * * [misc]simplify: Extracting #7: cost 0 inf + 23711 * * [misc]simplify: Extracting #8: cost 0 inf + 23631 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 44 inf + 0 * * [misc]simplify: Extracting #5: cost 34 inf + 734 * * [misc]simplify: Extracting #6: cost 8 inf + 4025 * * [misc]simplify: Extracting #7: cost 0 inf + 5201 * * [misc]simplify: Extracting #8: cost 0 inf + 5161 * [exit]simplify: Simplified to (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 1998 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 60 inf + 1 * * [misc]simplify: Extracting #5: cost 123 inf + 47 * * [misc]simplify: Extracting #6: cost 124 inf + 1355 * * [misc]simplify: Extracting #7: cost 43 inf + 14991 * * [misc]simplify: Extracting #8: cost 3 inf + 24033 * * [misc]simplify: Extracting #9: cost 0 inf + 25001 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 47 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 288 * * [misc]simplify: Extracting #6: cost 12 inf + 3943 * * [misc]simplify: Extracting #7: cost 0 inf + 6167 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 1999 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 56 inf + 1 * * [misc]simplify: Extracting #4: cost 117 inf + 131 * * [misc]simplify: Extracting #5: cost 112 inf + 2410 * * [misc]simplify: Extracting #6: cost 26 inf + 16977 * * [misc]simplify: Extracting #7: cost 0 inf + 23711 * * [misc]simplify: Extracting #8: cost 0 inf + 23631 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 44 inf + 0 * * [misc]simplify: Extracting #5: cost 34 inf + 734 * * [misc]simplify: Extracting #6: cost 8 inf + 4025 * * [misc]simplify: Extracting #7: cost 0 inf + 5201 * * [misc]simplify: Extracting #8: cost 0 inf + 5161 * [exit]simplify: Simplified to (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 2000 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 29 inf + 0 * * [misc]simplify: Extracting #3: cost 80 inf + 0 * * [misc]simplify: Extracting #4: cost 143 inf + 46 * * [misc]simplify: Extracting #5: cost 145 inf + 1193 * * [misc]simplify: Extracting #6: cost 59 inf + 16124 * * [misc]simplify: Extracting #7: cost 9 inf + 31556 * * [misc]simplify: Extracting #8: cost 1 inf + 34818 * * [misc]simplify: Extracting #9: cost 0 inf + 35342 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 49 inf + 0 * * [misc]simplify: Extracting #5: cost 44 inf + 125 * * [misc]simplify: Extracting #6: cost 20 inf + 3171 * * [misc]simplify: Extracting #7: cost 1 inf + 6609 * * [misc]simplify: Extracting #8: cost 0 inf + 6851 * [exit]simplify: Simplified to (/ (sqrt (- (* c c) (* d d))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (- (* c c) (* d d))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2001 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 0 * * [misc]simplify: Extracting #3: cost 72 inf + 0 * * [misc]simplify: Extracting #4: cost 135 inf + 46 * * [misc]simplify: Extracting #5: cost 134 inf + 1518 * * [misc]simplify: Extracting #6: cost 34 inf + 19714 * * [misc]simplify: Extracting #7: cost 3 inf + 29306 * * [misc]simplify: Extracting #8: cost 0 inf + 30554 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 31 inf + 0 * * [misc]simplify: Extracting #4: cost 51 inf + 0 * * [misc]simplify: Extracting #5: cost 43 inf + 571 * * [misc]simplify: Extracting #6: cost 24 inf + 3047 * * [misc]simplify: Extracting #7: cost 6 inf + 5123 * * [misc]simplify: Extracting #8: cost 0 inf + 7335 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2002 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 73 inf + 0 * * [misc]simplify: Extracting #4: cost 136 inf + 46 * * [misc]simplify: Extracting #5: cost 135 inf + 1558 * * [misc]simplify: Extracting #6: cost 45 inf + 17374 * * [misc]simplify: Extracting #7: cost 3 inf + 29628 * * [misc]simplify: Extracting #8: cost 0 inf + 30876 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 32 inf + 0 * * [misc]simplify: Extracting #4: cost 51 inf + 0 * * [misc]simplify: Extracting #5: cost 43 inf + 369 * * [misc]simplify: Extracting #6: cost 13 inf + 4349 * * [misc]simplify: Extracting #7: cost 2 inf + 6691 * * [misc]simplify: Extracting #8: cost 0 inf + 7495 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2003 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 65 inf + 0 * * [misc]simplify: Extracting #5: cost 124 inf + 129 * * [misc]simplify: Extracting #6: cost 110 inf + 3664 * * [misc]simplify: Extracting #7: cost 34 inf + 17576 * * [misc]simplify: Extracting #8: cost 1 inf + 26046 * * [misc]simplify: Extracting #9: cost 0 inf + 26410 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 45 inf + 0 * * [misc]simplify: Extracting #5: cost 32 inf + 860 * * [misc]simplify: Extracting #6: cost 4 inf + 4515 * * [misc]simplify: Extracting #7: cost 0 inf + 5483 * [exit]simplify: Simplified to (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 2004 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 62 inf + 1 * * [misc]simplify: Extracting #4: cost 125 inf + 47 * * [misc]simplify: Extracting #5: cost 125 inf + 1437 * * [misc]simplify: Extracting #6: cost 35 inf + 16975 * * [misc]simplify: Extracting #7: cost 1 inf + 25805 * * [misc]simplify: Extracting #8: cost 0 inf + 26007 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 47 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 288 * * [misc]simplify: Extracting #6: cost 12 inf + 3943 * * [misc]simplify: Extracting #7: cost 2 inf + 5403 * * [misc]simplify: Extracting #8: cost 0 inf + 6167 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 2005 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 65 inf + 0 * * [misc]simplify: Extracting #5: cost 124 inf + 129 * * [misc]simplify: Extracting #6: cost 110 inf + 3664 * * [misc]simplify: Extracting #7: cost 34 inf + 17576 * * [misc]simplify: Extracting #8: cost 1 inf + 26046 * * [misc]simplify: Extracting #9: cost 0 inf + 26410 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 45 inf + 0 * * [misc]simplify: Extracting #5: cost 32 inf + 860 * * [misc]simplify: Extracting #6: cost 4 inf + 4515 * * [misc]simplify: Extracting #7: cost 0 inf + 5483 * [exit]simplify: Simplified to (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 2006 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (225 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 62 inf + 1 * * [misc]simplify: Extracting #4: cost 125 inf + 47 * * [misc]simplify: Extracting #5: cost 125 inf + 1317 * * [misc]simplify: Extracting #6: cost 35 inf + 17091 * * [misc]simplify: Extracting #7: cost 1 inf + 25603 * * [misc]simplify: Extracting #8: cost 0 inf + 25847 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 47 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 288 * * [misc]simplify: Extracting #6: cost 12 inf + 3943 * * [misc]simplify: Extracting #7: cost 2 inf + 5403 * * [misc]simplify: Extracting #8: cost 0 inf + 6167 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 2007 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 65 inf + 0 * * [misc]simplify: Extracting #5: cost 124 inf + 129 * * [misc]simplify: Extracting #6: cost 110 inf + 3664 * * [misc]simplify: Extracting #7: cost 34 inf + 17576 * * [misc]simplify: Extracting #8: cost 1 inf + 26046 * * [misc]simplify: Extracting #9: cost 0 inf + 26410 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 45 inf + 0 * * [misc]simplify: Extracting #5: cost 32 inf + 860 * * [misc]simplify: Extracting #6: cost 4 inf + 4515 * * [misc]simplify: Extracting #7: cost 0 inf + 5483 * [exit]simplify: Simplified to (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 2008 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 62 inf + 1 * * [misc]simplify: Extracting #4: cost 125 inf + 47 * * [misc]simplify: Extracting #5: cost 115 inf + 2493 * * [misc]simplify: Extracting #6: cost 23 inf + 20279 * * [misc]simplify: Extracting #7: cost 0 inf + 25767 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 47 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 288 * * [misc]simplify: Extracting #6: cost 12 inf + 3943 * * [misc]simplify: Extracting #7: cost 2 inf + 5403 * * [misc]simplify: Extracting #8: cost 0 inf + 6167 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 2009 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 67 inf + 1 * * [misc]simplify: Extracting #4: cost 130 inf + 47 * * [misc]simplify: Extracting #5: cost 135 inf + 867 * * [misc]simplify: Extracting #6: cost 59 inf + 12613 * * [misc]simplify: Extracting #7: cost 12 inf + 23189 * * [misc]simplify: Extracting #8: cost 4 inf + 26409 * * [misc]simplify: Extracting #9: cost 0 inf + 28344 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 47 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 288 * * [misc]simplify: Extracting #6: cost 12 inf + 3943 * * [misc]simplify: Extracting #7: cost 0 inf + 6327 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2010 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 63 inf + 1 * * [misc]simplify: Extracting #4: cost 126 inf + 47 * * [misc]simplify: Extracting #5: cost 126 inf + 1356 * * [misc]simplify: Extracting #6: cost 47 inf + 14429 * * [misc]simplify: Extracting #7: cost 9 inf + 23429 * * [misc]simplify: Extracting #8: cost 0 inf + 26329 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 31 inf + 0 * * [misc]simplify: Extracting #4: cost 49 inf + 0 * * [misc]simplify: Extracting #5: cost 44 inf + 125 * * [misc]simplify: Extracting #6: cost 20 inf + 3171 * * [misc]simplify: Extracting #7: cost 0 inf + 6931 * * [misc]simplify: Extracting #8: cost 0 inf + 6811 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2011 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 63 inf + 1 * * [misc]simplify: Extracting #4: cost 126 inf + 47 * * [misc]simplify: Extracting #5: cost 121 inf + 2166 * * [misc]simplify: Extracting #6: cost 42 inf + 14759 * * [misc]simplify: Extracting #7: cost 4 inf + 24477 * * [misc]simplify: Extracting #8: cost 1 inf + 25847 * * [misc]simplify: Extracting #9: cost 0 inf + 26329 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 32 inf + 0 * * [misc]simplify: Extracting #4: cost 51 inf + 0 * * [misc]simplify: Extracting #5: cost 43 inf + 571 * * [misc]simplify: Extracting #6: cost 24 inf + 3047 * * [misc]simplify: Extracting #7: cost 1 inf + 6733 * * [misc]simplify: Extracting #8: cost 0 inf + 7255 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 2012 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 62 inf + 1 * * [misc]simplify: Extracting #4: cost 125 inf + 47 * * [misc]simplify: Extracting #5: cost 124 inf + 1560 * * [misc]simplify: Extracting #6: cost 39 inf + 15763 * * [misc]simplify: Extracting #7: cost 2 inf + 25001 * * [misc]simplify: Extracting #8: cost 0 inf + 25847 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 47 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 288 * * [misc]simplify: Extracting #6: cost 12 inf + 3943 * * [misc]simplify: Extracting #7: cost 0 inf + 6167 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2013 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) 1) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 56 inf + 1 * * [misc]simplify: Extracting #4: cost 119 inf + 47 * * [misc]simplify: Extracting #5: cost 122 inf + 1072 * * [misc]simplify: Extracting #6: cost 41 inf + 13987 * * [misc]simplify: Extracting #7: cost 4 inf + 22663 * * [misc]simplify: Extracting #8: cost 0 inf + 23711 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 44 inf + 0 * * [misc]simplify: Extracting #5: cost 34 inf + 734 * * [misc]simplify: Extracting #6: cost 8 inf + 4025 * * [misc]simplify: Extracting #7: cost 0 inf + 5201 * * [misc]simplify: Extracting #8: cost 0 inf + 5161 * [exit]simplify: Simplified to (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 2014 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 62 inf + 1 * * [misc]simplify: Extracting #4: cost 125 inf + 47 * * [misc]simplify: Extracting #5: cost 124 inf + 1560 * * [misc]simplify: Extracting #6: cost 39 inf + 15763 * * [misc]simplify: Extracting #7: cost 2 inf + 25001 * * [misc]simplify: Extracting #8: cost 0 inf + 25847 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 47 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 288 * * [misc]simplify: Extracting #6: cost 12 inf + 3943 * * [misc]simplify: Extracting #7: cost 0 inf + 6167 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2015 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 56 inf + 1 * * [misc]simplify: Extracting #4: cost 117 inf + 131 * * [misc]simplify: Extracting #5: cost 112 inf + 2410 * * [misc]simplify: Extracting #6: cost 26 inf + 16977 * * [misc]simplify: Extracting #7: cost 0 inf + 23711 * * [misc]simplify: Extracting #8: cost 0 inf + 23631 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 44 inf + 0 * * [misc]simplify: Extracting #5: cost 34 inf + 734 * * [misc]simplify: Extracting #6: cost 8 inf + 4025 * * [misc]simplify: Extracting #7: cost 0 inf + 5201 * * [misc]simplify: Extracting #8: cost 0 inf + 5161 * [exit]simplify: Simplified to (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 2016 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 62 inf + 1 * * [misc]simplify: Extracting #4: cost 125 inf + 47 * * [misc]simplify: Extracting #5: cost 124 inf + 1560 * * [misc]simplify: Extracting #6: cost 39 inf + 15763 * * [misc]simplify: Extracting #7: cost 2 inf + 25001 * * [misc]simplify: Extracting #8: cost 0 inf + 25847 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 47 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 288 * * [misc]simplify: Extracting #6: cost 12 inf + 3943 * * [misc]simplify: Extracting #7: cost 0 inf + 6167 * [exit]simplify: Simplified to (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2017 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) 1) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 56 inf + 1 * * [misc]simplify: Extracting #4: cost 119 inf + 47 * * [misc]simplify: Extracting #5: cost 117 inf + 1761 * * [misc]simplify: Extracting #6: cost 30 inf + 16691 * * [misc]simplify: Extracting #7: cost 0 inf + 23871 * * [misc]simplify: Extracting #8: cost 0 inf + 23791 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 44 inf + 0 * * [misc]simplify: Extracting #5: cost 34 inf + 734 * * [misc]simplify: Extracting #6: cost 8 inf + 4025 * * [misc]simplify: Extracting #7: cost 0 inf + 5201 * * [misc]simplify: Extracting #8: cost 0 inf + 5161 * [exit]simplify: Simplified to (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 2018 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1861 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5338 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2019 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 25 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 87 * * [misc]simplify: Extracting #5: cost 15 inf + 416 * * [misc]simplify: Extracting #6: cost 7 inf + 3080 * * [misc]simplify: Extracting #7: cost 0 inf + 5740 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 2020 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 87 * * [misc]simplify: Extracting #5: cost 16 inf + 416 * * [misc]simplify: Extracting #6: cost 6 inf + 3202 * * [misc]simplify: Extracting #7: cost 0 inf + 6182 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2021 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2022 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 413 * * [misc]simplify: Extracting #6: cost 3 inf + 1509 * * [misc]simplify: Extracting #7: cost 0 inf + 2479 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 2023 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2024 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 413 * * [misc]simplify: Extracting #6: cost 3 inf + 1509 * * [misc]simplify: Extracting #7: cost 0 inf + 2479 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 2025 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 24 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 87 * * [misc]simplify: Extracting #5: cost 14 inf + 416 * * [misc]simplify: Extracting #6: cost 9 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 5018 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2026 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 413 * * [misc]simplify: Extracting #6: cost 3 inf + 1509 * * [misc]simplify: Extracting #7: cost 0 inf + 2479 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 2027 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 250 * * [misc]simplify: Extracting #5: cost 6 inf + 1830 * * [misc]simplify: Extracting #6: cost 0 inf + 4328 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 207 * * [misc]simplify: Extracting #8: cost 3 inf + 1175 * * [misc]simplify: Extracting #9: cost 0 inf + 2104 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2028 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 10 inf + 250 * * [misc]simplify: Extracting #5: cost 2 inf + 2192 * * [misc]simplify: Extracting #6: cost 0 inf + 2958 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 3 * * [misc]simplify: Extracting #7: cost 8 inf + 207 * * [misc]simplify: Extracting #8: cost 5 inf + 813 * * [misc]simplify: Extracting #9: cost 1 inf + 2103 * * [misc]simplify: Extracting #10: cost 0 inf + 2426 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2029 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 250 * * [misc]simplify: Extracting #5: cost 3 inf + 1870 * * [misc]simplify: Extracting #6: cost 0 inf + 3200 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 3 * * [misc]simplify: Extracting #7: cost 8 inf + 409 * * [misc]simplify: Extracting #8: cost 3 inf + 1699 * * [misc]simplify: Extracting #9: cost 0 inf + 2708 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2030 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 250 * * [misc]simplify: Extracting #5: cost 2 inf + 1628 * * [misc]simplify: Extracting #6: cost 0 inf + 2476 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 207 * * [misc]simplify: Extracting #8: cost 3 inf + 1095 * * [misc]simplify: Extracting #9: cost 0 inf + 1944 * [exit]simplify: Simplified to (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2031 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 4 inf + 251 * * [misc]simplify: Extracting #5: cost 0 inf + 903 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 3 inf + 369 * * [misc]simplify: Extracting #6: cost 0 inf + 1017 * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 2032 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 250 * * [misc]simplify: Extracting #5: cost 2 inf + 1628 * * [misc]simplify: Extracting #6: cost 0 inf + 2476 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 207 * * [misc]simplify: Extracting #8: cost 3 inf + 1095 * * [misc]simplify: Extracting #9: cost 0 inf + 1944 * [exit]simplify: Simplified to (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2033 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 4 inf + 251 * * [misc]simplify: Extracting #5: cost 0 inf + 903 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 3 inf + 369 * * [misc]simplify: Extracting #6: cost 0 inf + 1017 * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 2034 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 250 * * [misc]simplify: Extracting #5: cost 2 inf + 1628 * * [misc]simplify: Extracting #6: cost 0 inf + 2476 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (sqrt (+ (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 207 * * [misc]simplify: Extracting #8: cost 3 inf + 1095 * * [misc]simplify: Extracting #9: cost 0 inf + 1944 * [exit]simplify: Simplified to (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2035 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 4 inf + 251 * * [misc]simplify: Extracting #5: cost 0 inf + 903 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 3 inf + 369 * * [misc]simplify: Extracting #6: cost 0 inf + 1017 * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 2036 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 28 inf + 0 * * [misc]simplify: Extracting #3: cost 35 inf + 0 * * [misc]simplify: Extracting #4: cost 31 inf + 87 * * [misc]simplify: Extracting #5: cost 36 inf + 294 * * [misc]simplify: Extracting #6: cost 28 inf + 1105 * * [misc]simplify: Extracting #7: cost 21 inf + 2318 * * [misc]simplify: Extracting #8: cost 14 inf + 4896 * * [misc]simplify: Extracting #9: cost 0 inf + 13540 * [exit]simplify: Simplified to (/ (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* (* (* c c) (* c c)) (* c c)) (* (* d d) (* (* d d) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* (* (* c c) (* c c)) (* c c)) (* (* d d) (* (* d d) (* d d))))))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 105 inf + 0 * * [misc]simplify: Extracting #6: cost 105 inf + 1784 * * [misc]simplify: Extracting #7: cost 24 inf + 14859 * * [misc]simplify: Extracting #8: cost 0 inf + 18307 * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2037 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 24 inf + 87 * * [misc]simplify: Extracting #5: cost 28 inf + 416 * * [misc]simplify: Extracting #6: cost 19 inf + 1591 * * [misc]simplify: Extracting #7: cost 9 inf + 3890 * * [misc]simplify: Extracting #8: cost 3 inf + 7148 * * [misc]simplify: Extracting #9: cost 0 inf + 9198 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* (* (* c c) (* c c)) (* c c)) (* (* d d) (* (* d d) (* d d))))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* (* (* c c) (* c c)) (* c c)) (* (* d d) (* (* d d) (* d d))))))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 105 inf + 0 * * [misc]simplify: Extracting #6: cost 105 inf + 1784 * * [misc]simplify: Extracting #7: cost 24 inf + 14899 * * [misc]simplify: Extracting #8: cost 0 inf + 18347 * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2038 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 87 * * [misc]simplify: Extracting #5: cost 29 inf + 416 * * [misc]simplify: Extracting #6: cost 18 inf + 2247 * * [misc]simplify: Extracting #7: cost 8 inf + 4616 * * [misc]simplify: Extracting #8: cost 4 inf + 6786 * * [misc]simplify: Extracting #9: cost 0 inf + 9520 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* (* (* c c) (* c c)) (* c c)) (* (* d (* d d)) (* d (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* (* (* c c) (* c c)) (* c c)) (* (* d (* d d)) (* d (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 105 inf + 0 * * [misc]simplify: Extracting #6: cost 105 inf + 1784 * * [misc]simplify: Extracting #7: cost 24 inf + 14939 * * [misc]simplify: Extracting #8: cost 0 inf + 18387 * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2039 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 87 * * [misc]simplify: Extracting #5: cost 27 inf + 416 * * [misc]simplify: Extracting #6: cost 18 inf + 1591 * * [misc]simplify: Extracting #7: cost 10 inf + 3044 * * [misc]simplify: Extracting #8: cost 4 inf + 5900 * * [misc]simplify: Extracting #9: cost 0 inf + 8556 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d (* d d)) (* d (* d d))))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d (* d d)) (* d (* d d))))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 105 inf + 0 * * [misc]simplify: Extracting #6: cost 105 inf + 1784 * * [misc]simplify: Extracting #7: cost 24 inf + 14779 * * [misc]simplify: Extracting #8: cost 0 inf + 18227 * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2040 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 209 * * [misc]simplify: Extracting #5: cost 18 inf + 455 * * [misc]simplify: Extracting #6: cost 8 inf + 1713 * * [misc]simplify: Extracting #7: cost 4 inf + 2319 * * [misc]simplify: Extracting #8: cost 0 inf + 4331 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))))) (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 104 inf + 0 * * [misc]simplify: Extracting #6: cost 91 inf + 3169 * * [misc]simplify: Extracting #7: cost 7 inf + 17092 * * [misc]simplify: Extracting #8: cost 0 inf + 17945 * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (sqrt (sqrt 1))) (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 2041 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 87 * * [misc]simplify: Extracting #5: cost 27 inf + 416 * * [misc]simplify: Extracting #6: cost 18 inf + 1591 * * [misc]simplify: Extracting #7: cost 10 inf + 3044 * * [misc]simplify: Extracting #8: cost 4 inf + 5900 * * [misc]simplify: Extracting #9: cost 0 inf + 8556 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d (* d d)) (* d (* d d))))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d (* d d)) (* d (* d d))))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 105 inf + 0 * * [misc]simplify: Extracting #6: cost 105 inf + 1784 * * [misc]simplify: Extracting #7: cost 24 inf + 14779 * * [misc]simplify: Extracting #8: cost 0 inf + 18227 * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2042 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 251 * * [misc]simplify: Extracting #5: cost 18 inf + 455 * * [misc]simplify: Extracting #6: cost 9 inf + 1683 * * [misc]simplify: Extracting #7: cost 4 inf + 2319 * * [misc]simplify: Extracting #8: cost 1 inf + 3849 * * [misc]simplify: Extracting #9: cost 0 inf + 4331 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* (* (* c c) (* c c)) (* c c)) (* (* d (* d d)) (* d (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* (* (* c c) (* c c)) (* c c)) (* (* d (* d d)) (* d (* d d))))))) (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 104 inf + 0 * * [misc]simplify: Extracting #6: cost 91 inf + 3169 * * [misc]simplify: Extracting #7: cost 7 inf + 17092 * * [misc]simplify: Extracting #8: cost 0 inf + 17945 * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (sqrt 1)) (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 2043 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 87 * * [misc]simplify: Extracting #5: cost 27 inf + 416 * * [misc]simplify: Extracting #6: cost 18 inf + 1591 * * [misc]simplify: Extracting #7: cost 10 inf + 3044 * * [misc]simplify: Extracting #8: cost 4 inf + 5900 * * [misc]simplify: Extracting #9: cost 0 inf + 8556 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d (* d d)) (* d (* d d))))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d (* d d)) (* d (* d d))))))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 105 inf + 0 * * [misc]simplify: Extracting #6: cost 105 inf + 1784 * * [misc]simplify: Extracting #7: cost 24 inf + 14779 * * [misc]simplify: Extracting #8: cost 0 inf + 18227 * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2044 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 209 * * [misc]simplify: Extracting #5: cost 18 inf + 455 * * [misc]simplify: Extracting #6: cost 9 inf + 1592 * * [misc]simplify: Extracting #7: cost 1 inf + 3849 * * [misc]simplify: Extracting #8: cost 0 inf + 4331 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* (* (* c c) (* c c)) (* c c)) (* (* d (* d d)) (* d (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* (* (* c c) (* c c)) (* c c)) (* (* d (* d d)) (* d (* d d))))))) (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 104 inf + 0 * * [misc]simplify: Extracting #6: cost 91 inf + 3169 * * [misc]simplify: Extracting #7: cost 7 inf + 17092 * * [misc]simplify: Extracting #8: cost 0 inf + 17945 * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) 1) (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 2045 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 21 inf + 0 * * [misc]simplify: Extracting #2: cost 30 inf + 0 * * [misc]simplify: Extracting #3: cost 37 inf + 0 * * [misc]simplify: Extracting #4: cost 76 inf + 87 * * [misc]simplify: Extracting #5: cost 135 inf + 581 * * [misc]simplify: Extracting #6: cost 89 inf + 10861 * * [misc]simplify: Extracting #7: cost 11 inf + 29308 * * [misc]simplify: Extracting #8: cost 0 inf + 35582 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 46 inf + 0 * * [misc]simplify: Extracting #6: cost 34 inf + 577 * * [misc]simplify: Extracting #7: cost 5 inf + 4355 * * [misc]simplify: Extracting #8: cost 0 inf + 5565 * [exit]simplify: Simplified to (/ (sqrt (sqrt (- (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2046 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 67 inf + 87 * * [misc]simplify: Extracting #5: cost 123 inf + 1026 * * [misc]simplify: Extracting #6: cost 58 inf + 15948 * * [misc]simplify: Extracting #7: cost 0 inf + 30032 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 46 inf + 0 * * [misc]simplify: Extracting #6: cost 34 inf + 577 * * [misc]simplify: Extracting #7: cost 5 inf + 4395 * * [misc]simplify: Extracting #8: cost 0 inf + 5605 * [exit]simplify: Simplified to (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2047 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 0 * * [misc]simplify: Extracting #4: cost 68 inf + 87 * * [misc]simplify: Extracting #5: cost 125 inf + 825 * * [misc]simplify: Extracting #6: cost 69 inf + 14166 * * [misc]simplify: Extracting #7: cost 8 inf + 27052 * * [misc]simplify: Extracting #8: cost 0 inf + 30194 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 46 inf + 0 * * [misc]simplify: Extracting #6: cost 34 inf + 577 * * [misc]simplify: Extracting #7: cost 5 inf + 4435 * * [misc]simplify: Extracting #8: cost 0 inf + 5645 * [exit]simplify: Simplified to (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2048 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 66 inf + 87 * * [misc]simplify: Extracting #5: cost 123 inf + 824 * * [misc]simplify: Extracting #6: cost 62 inf + 15097 * * [misc]simplify: Extracting #7: cost 2 inf + 28144 * * [misc]simplify: Extracting #8: cost 0 inf + 28510 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 46 inf + 0 * * [misc]simplify: Extracting #6: cost 34 inf + 577 * * [misc]simplify: Extracting #7: cost 5 inf + 4355 * * [misc]simplify: Extracting #8: cost 0 inf + 5485 * [exit]simplify: Simplified to (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2049 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (225 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 55 inf + 251 * * [misc]simplify: Extracting #5: cost 98 inf + 4257 * * [misc]simplify: Extracting #6: cost 41 inf + 17841 * * [misc]simplify: Extracting #7: cost 1 inf + 24883 * * [misc]simplify: Extracting #8: cost 0 inf + 25085 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 44 inf + 0 * * [misc]simplify: Extracting #6: cost 32 inf + 819 * * [misc]simplify: Extracting #7: cost 4 inf + 4433 * * [misc]simplify: Extracting #8: cost 0 inf + 5121 * [exit]simplify: Simplified to (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 2050 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 66 inf + 87 * * [misc]simplify: Extracting #5: cost 123 inf + 824 * * [misc]simplify: Extracting #6: cost 62 inf + 15097 * * [misc]simplify: Extracting #7: cost 2 inf + 28144 * * [misc]simplify: Extracting #8: cost 0 inf + 28510 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 46 inf + 0 * * [misc]simplify: Extracting #6: cost 34 inf + 577 * * [misc]simplify: Extracting #7: cost 5 inf + 4355 * * [misc]simplify: Extracting #8: cost 0 inf + 5485 * [exit]simplify: Simplified to (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2051 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 57 inf + 87 * * [misc]simplify: Extracting #5: cost 108 inf + 1956 * * [misc]simplify: Extracting #6: cost 56 inf + 14771 * * [misc]simplify: Extracting #7: cost 0 inf + 25525 * * [misc]simplify: Extracting #8: cost 0 inf + 25485 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 44 inf + 0 * * [misc]simplify: Extracting #6: cost 32 inf + 819 * * [misc]simplify: Extracting #7: cost 4 inf + 4433 * * [misc]simplify: Extracting #8: cost 0 inf + 5121 * [exit]simplify: Simplified to (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 2052 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 66 inf + 87 * * [misc]simplify: Extracting #5: cost 123 inf + 824 * * [misc]simplify: Extracting #6: cost 62 inf + 15097 * * [misc]simplify: Extracting #7: cost 2 inf + 28144 * * [misc]simplify: Extracting #8: cost 0 inf + 28510 * [exit]simplify: Simplified to (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 46 inf + 0 * * [misc]simplify: Extracting #6: cost 34 inf + 577 * * [misc]simplify: Extracting #7: cost 5 inf + 4355 * * [misc]simplify: Extracting #8: cost 0 inf + 5485 * [exit]simplify: Simplified to (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2053 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 1 * * [misc]simplify: Extracting #4: cost 55 inf + 251 * * [misc]simplify: Extracting #5: cost 99 inf + 4296 * * [misc]simplify: Extracting #6: cost 53 inf + 15900 * * [misc]simplify: Extracting #7: cost 0 inf + 24605 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 44 inf + 0 * * [misc]simplify: Extracting #6: cost 32 inf + 819 * * [misc]simplify: Extracting #7: cost 4 inf + 4433 * * [misc]simplify: Extracting #8: cost 0 inf + 5121 * [exit]simplify: Simplified to (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 2054 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 2055 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 2056 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 2057 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 0 * * [misc]simplify: Extracting #5: cost 8 inf + 0 * * [misc]simplify: Extracting #6: cost 5 inf + 43 * * [misc]simplify: Extracting #7: cost 0 inf + 852 * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 2058 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 0 * * [misc]simplify: Extracting #5: cost 8 inf + 0 * * [misc]simplify: Extracting #6: cost 5 inf + 43 * * [misc]simplify: Extracting #7: cost 0 inf + 892 * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 2059 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 0 * * [misc]simplify: Extracting #5: cost 8 inf + 0 * * [misc]simplify: Extracting #6: cost 5 inf + 43 * * [misc]simplify: Extracting #7: cost 0 inf + 932 * [exit]simplify: Simplified to (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 2060 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 0 * * [misc]simplify: Extracting #5: cost 8 inf + 0 * * [misc]simplify: Extracting #6: cost 5 inf + 43 * * [misc]simplify: Extracting #7: cost 0 inf + 812 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 2061 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 0 * * [misc]simplify: Extracting #5: cost 4 inf + 43 * * [misc]simplify: Extracting #6: cost 0 inf + 570 * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 2062 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 0 * * [misc]simplify: Extracting #5: cost 8 inf + 0 * * [misc]simplify: Extracting #6: cost 5 inf + 43 * * [misc]simplify: Extracting #7: cost 0 inf + 812 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 2063 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 0 * * [misc]simplify: Extracting #5: cost 4 inf + 43 * * [misc]simplify: Extracting #6: cost 0 inf + 570 * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 2064 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 0 * * [misc]simplify: Extracting #5: cost 8 inf + 0 * * [misc]simplify: Extracting #6: cost 5 inf + 43 * * [misc]simplify: Extracting #7: cost 0 inf + 812 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 2065 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 0 * * [misc]simplify: Extracting #5: cost 4 inf + 43 * * [misc]simplify: Extracting #6: cost 0 inf + 570 * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 2066 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 0 * * [misc]simplify: Extracting #6: cost 10 inf + 250 * * [misc]simplify: Extracting #7: cost 2 inf + 2114 * * [misc]simplify: Extracting #8: cost 0 inf + 3122 * [exit]simplify: Simplified to (* (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2067 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 9 inf + 250 * * [misc]simplify: Extracting #6: cost 2 inf + 1750 * * [misc]simplify: Extracting #7: cost 0 inf + 2558 * [exit]simplify: Simplified to (sqrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (sqrt (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2068 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 17 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 0 * * [misc]simplify: Extracting #6: cost 17 inf + 86 * * [misc]simplify: Extracting #7: cost 14 inf + 292 * * [misc]simplify: Extracting #8: cost 9 inf + 1386 * * [misc]simplify: Extracting #9: cost 1 inf + 5496 * * [misc]simplify: Extracting #10: cost 0 inf + 6100 * [exit]simplify: Simplified to (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2069 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 0 * * [misc]simplify: Extracting #6: cost 12 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 1708 * * [misc]simplify: Extracting #8: cost 3 inf + 2556 * * [misc]simplify: Extracting #9: cost 0 inf + 4288 * [exit]simplify: Simplified to (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2070 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 15 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 0 * * [misc]simplify: Extracting #6: cost 13 inf + 250 * * [misc]simplify: Extracting #7: cost 6 inf + 1588 * * [misc]simplify: Extracting #8: cost 1 inf + 3926 * * [misc]simplify: Extracting #9: cost 0 inf + 4570 * [exit]simplify: Simplified to (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2071 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 1346 * * [misc]simplify: Extracting #8: cost 3 inf + 2194 * * [misc]simplify: Extracting #9: cost 0 inf + 3806 * [exit]simplify: Simplified to (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2072 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 7 inf + 251 * * [misc]simplify: Extracting #7: cost 3 inf + 903 * * [misc]simplify: Extracting #8: cost 2 inf + 1307 * * [misc]simplify: Extracting #9: cost 0 inf + 2196 * [exit]simplify: Simplified to (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2073 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 1346 * * [misc]simplify: Extracting #8: cost 3 inf + 2194 * * [misc]simplify: Extracting #9: cost 0 inf + 3806 * [exit]simplify: Simplified to (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2074 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 7 inf + 251 * * [misc]simplify: Extracting #7: cost 3 inf + 903 * * [misc]simplify: Extracting #8: cost 1 inf + 1751 * * [misc]simplify: Extracting #9: cost 0 inf + 2196 * [exit]simplify: Simplified to (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2075 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 0 * * [misc]simplify: Extracting #6: cost 11 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 1346 * * [misc]simplify: Extracting #8: cost 3 inf + 2194 * * [misc]simplify: Extracting #9: cost 0 inf + 3806 * [exit]simplify: Simplified to (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2076 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 7 inf + 251 * * [misc]simplify: Extracting #7: cost 3 inf + 903 * * [misc]simplify: Extracting #8: cost 0 inf + 2196 * [exit]simplify: Simplified to (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2077 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 0 * * [misc]simplify: Extracting #6: cost 10 inf + 250 * * [misc]simplify: Extracting #7: cost 5 inf + 1104 * * [misc]simplify: Extracting #8: cost 2 inf + 2072 * * [misc]simplify: Extracting #9: cost 0 inf + 3160 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2078 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 0 * * [misc]simplify: Extracting #6: cost 9 inf + 250 * * [misc]simplify: Extracting #7: cost 3 inf + 1426 * * [misc]simplify: Extracting #8: cost 0 inf + 2596 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2079 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 0 * * [misc]simplify: Extracting #5: cost 18 inf + 0 * * [misc]simplify: Extracting #6: cost 8 inf + 694 * * [misc]simplify: Extracting #7: cost 2 inf + 1870 * * [misc]simplify: Extracting #8: cost 1 inf + 2234 * * [misc]simplify: Extracting #9: cost 0 inf + 2798 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2080 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 10 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 0 * * [misc]simplify: Extracting #6: cost 8 inf + 250 * * [misc]simplify: Extracting #7: cost 3 inf + 1104 * * [misc]simplify: Extracting #8: cost 0 inf + 2194 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2081 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 251 * * [misc]simplify: Extracting #6: cost 1 inf + 903 * * [misc]simplify: Extracting #7: cost 0 inf + 1267 * [exit]simplify: Simplified to (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2082 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 10 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 0 * * [misc]simplify: Extracting #6: cost 8 inf + 250 * * [misc]simplify: Extracting #7: cost 3 inf + 1104 * * [misc]simplify: Extracting #8: cost 0 inf + 2194 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2083 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 251 * * [misc]simplify: Extracting #6: cost 0 inf + 1267 * [exit]simplify: Simplified to (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2084 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 10 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 0 * * [misc]simplify: Extracting #6: cost 8 inf + 250 * * [misc]simplify: Extracting #7: cost 3 inf + 1104 * * [misc]simplify: Extracting #8: cost 0 inf + 2194 * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2085 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 251 * * [misc]simplify: Extracting #6: cost 1 inf + 903 * * [misc]simplify: Extracting #7: cost 0 inf + 1267 * [exit]simplify: Simplified to (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2086 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (302 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 34 inf + 0 * * [misc]simplify: Extracting #2: cost 37 inf + 0 * * [misc]simplify: Extracting #3: cost 40 inf + 0 * * [misc]simplify: Extracting #4: cost 46 inf + 0 * * [misc]simplify: Extracting #5: cost 40 inf + 87 * * [misc]simplify: Extracting #6: cost 32 inf + 1268 * * [misc]simplify: Extracting #7: cost 24 inf + 4816 * * [misc]simplify: Extracting #8: cost 16 inf + 9646 * * [misc]simplify: Extracting #9: cost 1 inf + 18176 * * [misc]simplify: Extracting #10: cost 0 inf + 18580 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2087 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 33 inf + 0 * * [misc]simplify: Extracting #5: cost 27 inf + 87 * * [misc]simplify: Extracting #6: cost 18 inf + 1752 * * [misc]simplify: Extracting #7: cost 1 inf + 10132 * * [misc]simplify: Extracting #8: cost 0 inf + 10736 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2088 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 36 inf + 0 * * [misc]simplify: Extracting #5: cost 30 inf + 87 * * [misc]simplify: Extracting #6: cost 21 inf + 1470 * * [misc]simplify: Extracting #7: cost 12 inf + 5300 * * [misc]simplify: Extracting #8: cost 2 inf + 10934 * * [misc]simplify: Extracting #9: cost 0 inf + 12382 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2089 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 34 inf + 0 * * [misc]simplify: Extracting #5: cost 28 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 1752 * * [misc]simplify: Extracting #7: cost 4 inf + 8802 * * [misc]simplify: Extracting #8: cost 0 inf + 11098 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2090 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * * [misc]simplify: iters left: 1 (330 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 209 * * [misc]simplify: Extracting #6: cost 9 inf + 1103 * * [misc]simplify: Extracting #7: cost 2 inf + 3812 * * [misc]simplify: Extracting #8: cost 0 inf + 4860 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2091 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 34 inf + 0 * * [misc]simplify: Extracting #5: cost 28 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 1752 * * [misc]simplify: Extracting #7: cost 4 inf + 8802 * * [misc]simplify: Extracting #8: cost 0 inf + 11098 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2092 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * * [misc]simplify: iters left: 1 (339 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 22 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 87 * * [misc]simplify: Extracting #6: cost 13 inf + 293 * * [misc]simplify: Extracting #7: cost 11 inf + 579 * * [misc]simplify: Extracting #8: cost 8 inf + 1307 * * [misc]simplify: Extracting #9: cost 0 inf + 4860 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2093 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 25 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 34 inf + 0 * * [misc]simplify: Extracting #5: cost 28 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 1752 * * [misc]simplify: Extracting #7: cost 4 inf + 8802 * * [misc]simplify: Extracting #8: cost 0 inf + 11098 * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2094 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * * [misc]simplify: iters left: 1 (400 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 20 inf + 1 * * [misc]simplify: Extracting #4: cost 26 inf + 1 * * [misc]simplify: Extracting #5: cost 20 inf + 88 * * [misc]simplify: Extracting #6: cost 13 inf + 1025 * * [misc]simplify: Extracting #7: cost 7 inf + 3288 * * [misc]simplify: Extracting #8: cost 0 inf + 6958 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2095 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 26 inf + 0 * * [misc]simplify: Extracting #3: cost 30 inf + 0 * * [misc]simplify: Extracting #4: cost 36 inf + 0 * * [misc]simplify: Extracting #5: cost 31 inf + 46 * * [misc]simplify: Extracting #6: cost 25 inf + 742 * * [misc]simplify: Extracting #7: cost 21 inf + 1470 * * [misc]simplify: Extracting #8: cost 16 inf + 3406 * * [misc]simplify: Extracting #9: cost 5 inf + 9886 * * [misc]simplify: Extracting #10: cost 0 inf + 12502 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2096 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 14 inf + 1470 * * [misc]simplify: Extracting #7: cost 10 inf + 2962 * * [misc]simplify: Extracting #8: cost 1 inf + 7472 * * [misc]simplify: Extracting #9: cost 0 inf + 8156 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (fabs (cbrt (+ (* d d) (* c c)))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (fabs (cbrt (+ (* d d) (* c c)))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2097 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 20 inf + 0 * * [misc]simplify: Extracting #4: cost 26 inf + 0 * * [misc]simplify: Extracting #5: cost 20 inf + 87 * * [misc]simplify: Extracting #6: cost 12 inf + 1308 * * [misc]simplify: Extracting #7: cost 7 inf + 3404 * * [misc]simplify: Extracting #8: cost 0 inf + 6990 * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (+ (* b d) (* a c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2098 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 13 inf + 1470 * * [misc]simplify: Extracting #7: cost 8 inf + 3406 * * [misc]simplify: Extracting #8: cost 2 inf + 6428 * * [misc]simplify: Extracting #9: cost 0 inf + 7514 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2099 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 88 * * [misc]simplify: Extracting #6: cost 7 inf + 865 * * [misc]simplify: Extracting #7: cost 1 inf + 2804 * * [misc]simplify: Extracting #8: cost 0 inf + 3288 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2100 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 13 inf + 1470 * * [misc]simplify: Extracting #7: cost 8 inf + 3406 * * [misc]simplify: Extracting #8: cost 2 inf + 6428 * * [misc]simplify: Extracting #9: cost 0 inf + 7514 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2101 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 129 * * [misc]simplify: Extracting #6: cost 8 inf + 621 * * [misc]simplify: Extracting #7: cost 2 inf + 2320 * * [misc]simplify: Extracting #8: cost 0 inf + 3288 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2102 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 13 inf + 1470 * * [misc]simplify: Extracting #7: cost 8 inf + 3406 * * [misc]simplify: Extracting #8: cost 2 inf + 6428 * * [misc]simplify: Extracting #9: cost 0 inf + 7514 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2103 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 19 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 251 * * [misc]simplify: Extracting #6: cost 3 inf + 2036 * * [misc]simplify: Extracting #7: cost 0 inf + 3288 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2104 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 33 inf + 0 * * [misc]simplify: Extracting #5: cost 27 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 1228 * * [misc]simplify: Extracting #7: cost 8 inf + 6508 * * [misc]simplify: Extracting #8: cost 0 inf + 10736 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2105 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 13 inf + 1228 * * [misc]simplify: Extracting #7: cost 4 inf + 5058 * * [misc]simplify: Extracting #8: cost 0 inf + 7232 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2106 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 11 inf + 1914 * * [misc]simplify: Extracting #7: cost 2 inf + 6468 * * [misc]simplify: Extracting #8: cost 0 inf + 7554 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2107 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 11 inf + 1228 * * [misc]simplify: Extracting #7: cost 3 inf + 4938 * * [misc]simplify: Extracting #8: cost 0 inf + 6228 * [exit]simplify: Simplified to (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2108 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 293 * * [misc]simplify: Extracting #7: cost 5 inf + 1027 * * [misc]simplify: Extracting #8: cost 1 inf + 2402 * * [misc]simplify: Extracting #9: cost 0 inf + 2846 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2109 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 11 inf + 1228 * * [misc]simplify: Extracting #7: cost 3 inf + 4938 * * [misc]simplify: Extracting #8: cost 0 inf + 6228 * [exit]simplify: Simplified to (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2110 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 5 inf + 985 * * [misc]simplify: Extracting #7: cost 1 inf + 2362 * * [misc]simplify: Extracting #8: cost 0 inf + 2846 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2111 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 11 inf + 1228 * * [misc]simplify: Extracting #7: cost 3 inf + 4938 * * [misc]simplify: Extracting #8: cost 0 inf + 6228 * [exit]simplify: Simplified to (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2112 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 5 inf + 1028 * * [misc]simplify: Extracting #7: cost 1 inf + 2402 * * [misc]simplify: Extracting #8: cost 0 inf + 2846 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2113 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * * [misc]simplify: iters left: 1 (304 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 18 inf + 47 * * [misc]simplify: Extracting #6: cost 11 inf + 988 * * [misc]simplify: Extracting #7: cost 8 inf + 1474 * * [misc]simplify: Extracting #8: cost 3 inf + 3690 * * [misc]simplify: Extracting #9: cost 0 inf + 5382 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2114 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 47 * * [misc]simplify: Extracting #6: cost 10 inf + 417 * * [misc]simplify: Extracting #7: cost 2 inf + 2844 * * [misc]simplify: Extracting #8: cost 0 inf + 3690 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (/ (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (cbrt (+ (* b d) (* a c))) (/ (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (+ (* b d) (* a c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2115 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 1 * * [misc]simplify: Extracting #3: cost 22 inf + 1 * * [misc]simplify: Extracting #4: cost 27 inf + 1 * * [misc]simplify: Extracting #5: cost 24 inf + 47 * * [misc]simplify: Extracting #6: cost 19 inf + 499 * * [misc]simplify: Extracting #7: cost 4 inf + 4713 * * [misc]simplify: Extracting #8: cost 0 inf + 6849 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2116 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 47 * * [misc]simplify: Extracting #6: cost 9 inf + 499 * * [misc]simplify: Extracting #7: cost 5 inf + 1272 * * [misc]simplify: Extracting #8: cost 4 inf + 1474 * * [misc]simplify: Extracting #9: cost 0 inf + 3208 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2117 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 6 inf + 5 * * [misc]simplify: Extracting #6: cost 0 inf + 906 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2118 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 47 * * [misc]simplify: Extracting #6: cost 9 inf + 499 * * [misc]simplify: Extracting #7: cost 5 inf + 1272 * * [misc]simplify: Extracting #8: cost 4 inf + 1474 * * [misc]simplify: Extracting #9: cost 0 inf + 3208 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2119 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 47 * * [misc]simplify: Extracting #6: cost 0 inf + 906 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2120 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 47 * * [misc]simplify: Extracting #6: cost 9 inf + 499 * * [misc]simplify: Extracting #7: cost 5 inf + 1272 * * [misc]simplify: Extracting #8: cost 4 inf + 1474 * * [misc]simplify: Extracting #9: cost 0 inf + 3208 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2121 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 47 * * [misc]simplify: Extracting #6: cost 0 inf + 906 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2122 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 0 * * [misc]simplify: Extracting #3: cost 27 inf + 0 * * [misc]simplify: Extracting #4: cost 33 inf + 0 * * [misc]simplify: Extracting #5: cost 27 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 1228 * * [misc]simplify: Extracting #7: cost 8 inf + 6508 * * [misc]simplify: Extracting #8: cost 0 inf + 10736 * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2123 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 27 inf + 0 * * [misc]simplify: Extracting #5: cost 21 inf + 87 * * [misc]simplify: Extracting #6: cost 13 inf + 1228 * * [misc]simplify: Extracting #7: cost 4 inf + 5058 * * [misc]simplify: Extracting #8: cost 0 inf + 7232 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2124 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 28 inf + 0 * * [misc]simplify: Extracting #5: cost 22 inf + 87 * * [misc]simplify: Extracting #6: cost 11 inf + 1914 * * [misc]simplify: Extracting #7: cost 2 inf + 6468 * * [misc]simplify: Extracting #8: cost 0 inf + 7554 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (* (cbrt (+ (* b d) (* a c))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2125 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 11 inf + 1228 * * [misc]simplify: Extracting #7: cost 3 inf + 4938 * * [misc]simplify: Extracting #8: cost 0 inf + 6228 * [exit]simplify: Simplified to (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2126 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 87 * * [misc]simplify: Extracting #6: cost 9 inf + 293 * * [misc]simplify: Extracting #7: cost 5 inf + 1027 * * [misc]simplify: Extracting #8: cost 1 inf + 2402 * * [misc]simplify: Extracting #9: cost 0 inf + 2846 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2127 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 11 inf + 1228 * * [misc]simplify: Extracting #7: cost 3 inf + 4938 * * [misc]simplify: Extracting #8: cost 0 inf + 6228 * [exit]simplify: Simplified to (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2128 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 5 inf + 985 * * [misc]simplify: Extracting #7: cost 1 inf + 2362 * * [misc]simplify: Extracting #8: cost 0 inf + 2846 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2129 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 11 inf + 1228 * * [misc]simplify: Extracting #7: cost 3 inf + 4938 * * [misc]simplify: Extracting #8: cost 0 inf + 6228 * [exit]simplify: Simplified to (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2130 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 251 * * [misc]simplify: Extracting #6: cost 5 inf + 1028 * * [misc]simplify: Extracting #7: cost 1 inf + 2402 * * [misc]simplify: Extracting #8: cost 0 inf + 2846 * [exit]simplify: Simplified to (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2131 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 141 inf + 0 * * [misc]simplify: Extracting #2: cost 274 inf + 1 * * [misc]simplify: Extracting #3: cost 299 inf + 1 * * [misc]simplify: Extracting #4: cost 304 inf + 1 * * [misc]simplify: Extracting #5: cost 300 inf + 89 * * [misc]simplify: Extracting #6: cost 294 inf + 781 * * [misc]simplify: Extracting #7: cost 148 inf + 54876 * * [misc]simplify: Extracting #8: cost 8 inf + 127783 * * [misc]simplify: Extracting #9: cost 0 inf + 132497 * [exit]simplify: Simplified to (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2132 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 47 * * [misc]simplify: Extracting #6: cost 8 inf + 866 * * [misc]simplify: Extracting #7: cost 5 inf + 1514 * * [misc]simplify: Extracting #8: cost 0 inf + 3690 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (cbrt (+ (* b d) (* a c))) (/ (fabs (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2133 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 18 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 47 * * [misc]simplify: Extracting #6: cost 9 inf + 621 * * [misc]simplify: Extracting #7: cost 2 inf + 2602 * * [misc]simplify: Extracting #8: cost 0 inf + 3690 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2134 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 47 * * [misc]simplify: Extracting #6: cost 7 inf + 866 * * [misc]simplify: Extracting #7: cost 4 inf + 1474 * * [misc]simplify: Extracting #8: cost 2 inf + 2200 * * [misc]simplify: Extracting #9: cost 0 inf + 3208 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2135 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 6 inf + 5 * * [misc]simplify: Extracting #6: cost 0 inf + 906 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2136 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 47 * * [misc]simplify: Extracting #6: cost 7 inf + 866 * * [misc]simplify: Extracting #7: cost 4 inf + 1474 * * [misc]simplify: Extracting #8: cost 2 inf + 2200 * * [misc]simplify: Extracting #9: cost 0 inf + 3208 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2137 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 47 * * [misc]simplify: Extracting #6: cost 4 inf + 89 * * [misc]simplify: Extracting #7: cost 2 inf + 417 * * [misc]simplify: Extracting #8: cost 0 inf + 906 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2138 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 8 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 47 * * [misc]simplify: Extracting #6: cost 7 inf + 866 * * [misc]simplify: Extracting #7: cost 4 inf + 1474 * * [misc]simplify: Extracting #8: cost 2 inf + 2200 * * [misc]simplify: Extracting #9: cost 0 inf + 3208 * [exit]simplify: Simplified to (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (cbrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (+ (* b d) (* a c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2139 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) 1) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 6 inf + 5 * * [misc]simplify: Extracting #6: cost 3 inf + 213 * * [misc]simplify: Extracting #7: cost 0 inf + 906 * [exit]simplify: Simplified to (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2140 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 0 * * [misc]simplify: Extracting #3: cost 23 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 0 * * [misc]simplify: Extracting #5: cost 23 inf + 87 * * [misc]simplify: Extracting #6: cost 19 inf + 458 * * [misc]simplify: Extracting #7: cost 12 inf + 2152 * * [misc]simplify: Extracting #8: cost 2 inf + 7104 * * [misc]simplify: Extracting #9: cost 0 inf + 8272 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2141 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 87 * * [misc]simplify: Extracting #6: cost 10 inf + 742 * * [misc]simplify: Extracting #7: cost 6 inf + 1992 * * [misc]simplify: Extracting #8: cost 0 inf + 4732 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2142 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 8 inf + 1952 * * [misc]simplify: Extracting #8: cost 4 inf + 3604 * * [misc]simplify: Extracting #9: cost 0 inf + 5898 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2143 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 87 * * [misc]simplify: Extracting #6: cost 10 inf + 944 * * [misc]simplify: Extracting #7: cost 4 inf + 2960 * * [misc]simplify: Extracting #8: cost 0 inf + 5014 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2144 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 88 * * [misc]simplify: Extracting #6: cost 4 inf + 743 * * [misc]simplify: Extracting #7: cost 3 inf + 985 * * [misc]simplify: Extracting #8: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2145 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 87 * * [misc]simplify: Extracting #6: cost 10 inf + 944 * * [misc]simplify: Extracting #7: cost 4 inf + 2960 * * [misc]simplify: Extracting #8: cost 0 inf + 5014 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2146 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 88 * * [misc]simplify: Extracting #6: cost 3 inf + 985 * * [misc]simplify: Extracting #7: cost 1 inf + 1711 * * [misc]simplify: Extracting #8: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2147 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 0 * * [misc]simplify: Extracting #3: cost 17 inf + 0 * * [misc]simplify: Extracting #4: cost 23 inf + 0 * * [misc]simplify: Extracting #5: cost 17 inf + 87 * * [misc]simplify: Extracting #6: cost 10 inf + 944 * * [misc]simplify: Extracting #7: cost 4 inf + 2960 * * [misc]simplify: Extracting #8: cost 0 inf + 5014 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2148 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 16 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 88 * * [misc]simplify: Extracting #6: cost 4 inf + 743 * * [misc]simplify: Extracting #7: cost 3 inf + 985 * * [misc]simplify: Extracting #8: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2149 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 0 * * [misc]simplify: Extracting #5: cost 19 inf + 87 * * [misc]simplify: Extracting #6: cost 15 inf + 458 * * [misc]simplify: Extracting #7: cost 9 inf + 1630 * * [misc]simplify: Extracting #8: cost 5 inf + 3442 * * [misc]simplify: Extracting #9: cost 1 inf + 5414 * * [misc]simplify: Extracting #10: cost 0 inf + 5938 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2150 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 87 * * [misc]simplify: Extracting #6: cost 8 inf + 1186 * * [misc]simplify: Extracting #7: cost 2 inf + 3322 * * [misc]simplify: Extracting #8: cost 0 inf + 4248 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2151 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 19 inf + 0 * * [misc]simplify: Extracting #5: cost 13 inf + 87 * * [misc]simplify: Extracting #6: cost 5 inf + 1306 * * [misc]simplify: Extracting #7: cost 0 inf + 3322 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2152 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 7 inf + 1186 * * [misc]simplify: Extracting #7: cost 4 inf + 2074 * * [misc]simplify: Extracting #8: cost 0 inf + 3766 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2153 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 1025 * * [misc]simplify: Extracting #7: cost 0 inf + 1711 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2154 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 7 inf + 1186 * * [misc]simplify: Extracting #7: cost 4 inf + 2074 * * [misc]simplify: Extracting #8: cost 0 inf + 3766 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2155 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 1025 * * [misc]simplify: Extracting #7: cost 0 inf + 1711 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2156 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 7 inf + 1186 * * [misc]simplify: Extracting #7: cost 4 inf + 2074 * * [misc]simplify: Extracting #8: cost 0 inf + 3766 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2157 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 1025 * * [misc]simplify: Extracting #7: cost 0 inf + 1711 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2158 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 87 * * [misc]simplify: Extracting #6: cost 10 inf + 742 * * [misc]simplify: Extracting #7: cost 5 inf + 2436 * * [misc]simplify: Extracting #8: cost 0 inf + 4732 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2159 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 14 inf + 87 * * [misc]simplify: Extracting #6: cost 8 inf + 742 * * [misc]simplify: Extracting #7: cost 3 inf + 2154 * * [misc]simplify: Extracting #8: cost 0 inf + 3564 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2160 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 6 inf + 1428 * * [misc]simplify: Extracting #7: cost 1 inf + 3202 * * [misc]simplify: Extracting #8: cost 0 inf + 3806 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2161 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 12 inf + 87 * * [misc]simplify: Extracting #6: cost 6 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 2800 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2162 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 743 * * [misc]simplify: Extracting #7: cost 1 inf + 945 * * [misc]simplify: Extracting #8: cost 0 inf + 1349 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2163 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 12 inf + 87 * * [misc]simplify: Extracting #6: cost 6 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 2800 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2164 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 743 * * [misc]simplify: Extracting #7: cost 0 inf + 1349 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2165 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 12 inf + 87 * * [misc]simplify: Extracting #6: cost 6 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 2800 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2166 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 743 * * [misc]simplify: Extracting #7: cost 0 inf + 1349 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2167 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 47 * * [misc]simplify: Extracting #6: cost 6 inf + 581 * * [misc]simplify: Extracting #7: cost 4 inf + 945 * * [misc]simplify: Extracting #8: cost 3 inf + 1227 * * [misc]simplify: Extracting #9: cost 0 inf + 2557 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2168 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 581 * * [misc]simplify: Extracting #7: cost 3 inf + 985 * * [misc]simplify: Extracting #8: cost 0 inf + 2033 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2169 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 581 * * [misc]simplify: Extracting #7: cost 1 inf + 1549 * * [misc]simplify: Extracting #8: cost 0 inf + 2033 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2170 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 4 inf + 581 * * [misc]simplify: Extracting #7: cost 2 inf + 945 * * [misc]simplify: Extracting #8: cost 1 inf + 1187 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2171 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 47 * * [misc]simplify: Extracting #5: cost 0 inf + 377 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (sqrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2172 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 4 inf + 581 * * [misc]simplify: Extracting #7: cost 2 inf + 945 * * [misc]simplify: Extracting #8: cost 1 inf + 1187 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2173 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 47 * * [misc]simplify: Extracting #5: cost 0 inf + 377 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (sqrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2174 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 4 inf + 581 * * [misc]simplify: Extracting #7: cost 2 inf + 945 * * [misc]simplify: Extracting #8: cost 1 inf + 1187 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2175 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 47 * * [misc]simplify: Extracting #5: cost 0 inf + 377 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (sqrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2176 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 22 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 87 * * [misc]simplify: Extracting #6: cost 10 inf + 742 * * [misc]simplify: Extracting #7: cost 5 inf + 2436 * * [misc]simplify: Extracting #8: cost 0 inf + 4732 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2177 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 0 * * [misc]simplify: Extracting #4: cost 20 inf + 0 * * [misc]simplify: Extracting #5: cost 14 inf + 87 * * [misc]simplify: Extracting #6: cost 8 inf + 742 * * [misc]simplify: Extracting #7: cost 3 inf + 2154 * * [misc]simplify: Extracting #8: cost 0 inf + 3564 * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2178 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 0 * * [misc]simplify: Extracting #4: cost 21 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 87 * * [misc]simplify: Extracting #6: cost 6 inf + 1428 * * [misc]simplify: Extracting #7: cost 1 inf + 3202 * * [misc]simplify: Extracting #8: cost 0 inf + 3806 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2179 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 12 inf + 87 * * [misc]simplify: Extracting #6: cost 6 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 2800 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2180 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 743 * * [misc]simplify: Extracting #7: cost 1 inf + 945 * * [misc]simplify: Extracting #8: cost 0 inf + 1349 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2181 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 12 inf + 87 * * [misc]simplify: Extracting #6: cost 6 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 2800 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2182 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 743 * * [misc]simplify: Extracting #7: cost 0 inf + 1349 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2183 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 18 inf + 0 * * [misc]simplify: Extracting #5: cost 12 inf + 87 * * [misc]simplify: Extracting #6: cost 6 inf + 742 * * [misc]simplify: Extracting #7: cost 0 inf + 2800 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2184 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 88 * * [misc]simplify: Extracting #6: cost 2 inf + 743 * * [misc]simplify: Extracting #7: cost 0 inf + 1349 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2185 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 47 * * [misc]simplify: Extracting #6: cost 7 inf + 459 * * [misc]simplify: Extracting #7: cost 5 inf + 743 * * [misc]simplify: Extracting #8: cost 3 inf + 1227 * * [misc]simplify: Extracting #9: cost 1 inf + 2033 * * [misc]simplify: Extracting #10: cost 0 inf + 2557 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2186 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 47 * * [misc]simplify: Extracting #6: cost 6 inf + 459 * * [misc]simplify: Extracting #7: cost 4 inf + 743 * * [misc]simplify: Extracting #8: cost 1 inf + 1549 * * [misc]simplify: Extracting #9: cost 0 inf + 2033 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2187 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 11 inf + 47 * * [misc]simplify: Extracting #6: cost 6 inf + 459 * * [misc]simplify: Extracting #7: cost 3 inf + 1025 * * [misc]simplify: Extracting #8: cost 1 inf + 1549 * * [misc]simplify: Extracting #9: cost 0 inf + 2033 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2188 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 459 * * [misc]simplify: Extracting #7: cost 3 inf + 743 * * [misc]simplify: Extracting #8: cost 2 inf + 945 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2189 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 47 * * [misc]simplify: Extracting #5: cost 0 inf + 377 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (sqrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2190 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 459 * * [misc]simplify: Extracting #7: cost 3 inf + 743 * * [misc]simplify: Extracting #8: cost 2 inf + 945 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2191 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 47 * * [misc]simplify: Extracting #5: cost 0 inf + 377 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (sqrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2192 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 47 * * [misc]simplify: Extracting #6: cost 5 inf + 459 * * [misc]simplify: Extracting #7: cost 3 inf + 743 * * [misc]simplify: Extracting #8: cost 2 inf + 945 * * [misc]simplify: Extracting #9: cost 0 inf + 1631 * [exit]simplify: Simplified to (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2193 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* a c) (* b d))) 1) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 47 * * [misc]simplify: Extracting #5: cost 0 inf + 377 * [exit]simplify: Simplified to (sqrt (+ (* b d) (* a c))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (sqrt (+ (* b d) (* a c))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2194 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 18 inf + 1 * * [misc]simplify: Extracting #3: cost 19 inf + 1 * * [misc]simplify: Extracting #4: cost 21 inf + 1 * * [misc]simplify: Extracting #5: cost 23 inf + 1 * * [misc]simplify: Extracting #6: cost 20 inf + 44 * * [misc]simplify: Extracting #7: cost 18 inf + 207 * * [misc]simplify: Extracting #8: cost 4 inf + 4880 * * [misc]simplify: Extracting #9: cost 0 inf + 6611 * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (* (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2195 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 3 * * [misc]simplify: Extracting #7: cost 11 inf + 207 * * [misc]simplify: Extracting #8: cost 8 inf + 894 * * [misc]simplify: Extracting #9: cost 1 inf + 3192 * * [misc]simplify: Extracting #10: cost 0 inf + 3554 * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2196 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 3 * * [misc]simplify: Extracting #7: cost 14 inf + 207 * * [misc]simplify: Extracting #8: cost 8 inf + 1579 * * [misc]simplify: Extracting #9: cost 0 inf + 4720 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2197 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 3 * * [misc]simplify: Extracting #7: cost 12 inf + 207 * * [misc]simplify: Extracting #8: cost 7 inf + 1338 * * [misc]simplify: Extracting #9: cost 2 inf + 2991 * * [misc]simplify: Extracting #10: cost 0 inf + 3836 * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2198 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 7 inf + 44 * * [misc]simplify: Extracting #7: cost 4 inf + 369 * * [misc]simplify: Extracting #8: cost 2 inf + 894 * * [misc]simplify: Extracting #9: cost 0 inf + 1499 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2199 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 3 * * [misc]simplify: Extracting #7: cost 12 inf + 207 * * [misc]simplify: Extracting #8: cost 7 inf + 1338 * * [misc]simplify: Extracting #9: cost 2 inf + 2991 * * [misc]simplify: Extracting #10: cost 0 inf + 3836 * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2200 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 8 inf + 3 * * [misc]simplify: Extracting #7: cost 4 inf + 369 * * [misc]simplify: Extracting #8: cost 1 inf + 1176 * * [misc]simplify: Extracting #9: cost 0 inf + 1499 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2201 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 1 * * [misc]simplify: Extracting #5: cost 17 inf + 1 * * [misc]simplify: Extracting #6: cost 15 inf + 3 * * [misc]simplify: Extracting #7: cost 12 inf + 207 * * [misc]simplify: Extracting #8: cost 7 inf + 1338 * * [misc]simplify: Extracting #9: cost 2 inf + 2991 * * [misc]simplify: Extracting #10: cost 0 inf + 3836 * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2202 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 8 inf + 1 * * [misc]simplify: Extracting #5: cost 10 inf + 1 * * [misc]simplify: Extracting #6: cost 6 inf + 85 * * [misc]simplify: Extracting #7: cost 4 inf + 369 * * [misc]simplify: Extracting #8: cost 1 inf + 1176 * * [misc]simplify: Extracting #9: cost 0 inf + 1499 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2203 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 13 inf + 1 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 1 * * [misc]simplify: Extracting #5: cost 19 inf + 1 * * [misc]simplify: Extracting #6: cost 17 inf + 3 * * [misc]simplify: Extracting #7: cost 14 inf + 207 * * [misc]simplify: Extracting #8: cost 8 inf + 1540 * * [misc]simplify: Extracting #9: cost 4 inf + 2950 * * [misc]simplify: Extracting #10: cost 0 inf + 4760 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2204 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 3 * * [misc]simplify: Extracting #7: cost 11 inf + 207 * * [misc]simplify: Extracting #8: cost 4 inf + 1862 * * [misc]simplify: Extracting #9: cost 0 inf + 3392 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2205 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 13 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 3 * * [misc]simplify: Extracting #7: cost 8 inf + 207 * * [misc]simplify: Extracting #8: cost 0 inf + 2466 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2206 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 3 * * [misc]simplify: Extracting #7: cost 10 inf + 207 * * [misc]simplify: Extracting #8: cost 4 inf + 1540 * * [misc]simplify: Extracting #9: cost 1 inf + 2508 * * [misc]simplify: Extracting #10: cost 0 inf + 2910 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2207 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 1176 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2208 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 3 * * [misc]simplify: Extracting #7: cost 10 inf + 207 * * [misc]simplify: Extracting #8: cost 4 inf + 1540 * * [misc]simplify: Extracting #9: cost 1 inf + 2508 * * [misc]simplify: Extracting #10: cost 0 inf + 2910 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2209 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 1176 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2210 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 3 * * [misc]simplify: Extracting #7: cost 10 inf + 207 * * [misc]simplify: Extracting #8: cost 4 inf + 1540 * * [misc]simplify: Extracting #9: cost 1 inf + 2508 * * [misc]simplify: Extracting #10: cost 0 inf + 2910 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2211 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 1176 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2212 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 3 * * [misc]simplify: Extracting #7: cost 11 inf + 207 * * [misc]simplify: Extracting #8: cost 8 inf + 853 * * [misc]simplify: Extracting #9: cost 1 inf + 3191 * * [misc]simplify: Extracting #10: cost 0 inf + 3554 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2213 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 3 * * [misc]simplify: Extracting #7: cost 9 inf + 207 * * [misc]simplify: Extracting #8: cost 5 inf + 1095 * * [misc]simplify: Extracting #9: cost 0 inf + 2708 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2214 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 3 * * [misc]simplify: Extracting #7: cost 8 inf + 651 * * [misc]simplify: Extracting #8: cost 2 inf + 2305 * * [misc]simplify: Extracting #9: cost 0 inf + 2950 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2215 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 207 * * [misc]simplify: Extracting #8: cost 3 inf + 1095 * * [misc]simplify: Extracting #9: cost 0 inf + 1944 * [exit]simplify: Simplified to (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2216 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 1 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2217 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 207 * * [misc]simplify: Extracting #8: cost 3 inf + 1095 * * [misc]simplify: Extracting #9: cost 0 inf + 1944 * [exit]simplify: Simplified to (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2218 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 1 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2219 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 207 * * [misc]simplify: Extracting #8: cost 3 inf + 1095 * * [misc]simplify: Extracting #9: cost 0 inf + 1944 * [exit]simplify: Simplified to (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2220 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 1 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2221 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 1 * * [misc]simplify: Extracting #7: cost 7 inf + 85 * * [misc]simplify: Extracting #8: cost 4 inf + 571 * * [misc]simplify: Extracting #9: cost 3 inf + 853 * * [misc]simplify: Extracting #10: cost 0 inf + 1861 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ 1 (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2222 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2223 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 1175 * * [misc]simplify: Extracting #8: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2224 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2225 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2226 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2227 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2228 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 1 inf + 813 * * [misc]simplify: Extracting #8: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2229 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) 1) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2230 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 16 inf + 1 * * [misc]simplify: Extracting #6: cost 14 inf + 3 * * [misc]simplify: Extracting #7: cost 11 inf + 207 * * [misc]simplify: Extracting #8: cost 8 inf + 853 * * [misc]simplify: Extracting #9: cost 1 inf + 3191 * * [misc]simplify: Extracting #10: cost 0 inf + 3554 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2231 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 9 inf + 1 * * [misc]simplify: Extracting #3: cost 10 inf + 1 * * [misc]simplify: Extracting #4: cost 12 inf + 1 * * [misc]simplify: Extracting #5: cost 14 inf + 1 * * [misc]simplify: Extracting #6: cost 12 inf + 3 * * [misc]simplify: Extracting #7: cost 9 inf + 207 * * [misc]simplify: Extracting #8: cost 5 inf + 1095 * * [misc]simplify: Extracting #9: cost 0 inf + 2708 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2232 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 1 * * [misc]simplify: Extracting #4: cost 13 inf + 1 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 13 inf + 3 * * [misc]simplify: Extracting #7: cost 8 inf + 651 * * [misc]simplify: Extracting #8: cost 2 inf + 2305 * * [misc]simplify: Extracting #9: cost 0 inf + 2950 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2233 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 207 * * [misc]simplify: Extracting #8: cost 3 inf + 1095 * * [misc]simplify: Extracting #9: cost 0 inf + 1944 * [exit]simplify: Simplified to (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2234 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 1 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2235 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 207 * * [misc]simplify: Extracting #8: cost 3 inf + 1095 * * [misc]simplify: Extracting #9: cost 0 inf + 1944 * [exit]simplify: Simplified to (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2236 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 1 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2237 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 12 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 3 * * [misc]simplify: Extracting #7: cost 7 inf + 207 * * [misc]simplify: Extracting #8: cost 3 inf + 1095 * * [misc]simplify: Extracting #9: cost 0 inf + 1944 * [exit]simplify: Simplified to (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2238 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 1 inf + 571 * * [misc]simplify: Extracting #7: cost 0 inf + 814 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2239 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1861 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2240 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2241 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2242 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2243 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2244 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2245 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2246 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2247 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2248 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 1 * * [misc]simplify: Extracting #3: cost 6 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1861 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2249 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2250 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 1 * * [misc]simplify: Extracting #6: cost 10 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1498 * [exit]simplify: Simplified to (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2251 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2252 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2253 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2254 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2255 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 9 inf + 1 * * [misc]simplify: Extracting #7: cost 0 inf + 1096 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2256 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2257 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 9 inf + 46 * * [misc]simplify: Extracting #5: cost 9 inf + 212 * * [misc]simplify: Extracting #6: cost 6 inf + 416 * * [misc]simplify: Extracting #7: cost 4 inf + 780 * * [misc]simplify: Extracting #8: cost 1 inf + 1828 * * [misc]simplify: Extracting #9: cost 0 inf + 2312 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2258 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 46 * * [misc]simplify: Extracting #5: cost 8 inf + 212 * * [misc]simplify: Extracting #6: cost 5 inf + 416 * * [misc]simplify: Extracting #7: cost 2 inf + 1102 * * [misc]simplify: Extracting #8: cost 0 inf + 1828 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2259 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 46 * * [misc]simplify: Extracting #5: cost 8 inf + 212 * * [misc]simplify: Extracting #6: cost 5 inf + 416 * * [misc]simplify: Extracting #7: cost 1 inf + 1384 * * [misc]simplify: Extracting #8: cost 0 inf + 1828 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2260 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 46 * * [misc]simplify: Extracting #5: cost 7 inf + 212 * * [misc]simplify: Extracting #6: cost 4 inf + 416 * * [misc]simplify: Extracting #7: cost 2 inf + 780 * * [misc]simplify: Extracting #8: cost 0 inf + 1426 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2261 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 47 * * [misc]simplify: Extracting #4: cost 0 inf + 213 * [exit]simplify: Simplified to (+ (* b d) (* a c)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (+ (* b d) (* a c)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2262 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 46 * * [misc]simplify: Extracting #5: cost 7 inf + 212 * * [misc]simplify: Extracting #6: cost 4 inf + 416 * * [misc]simplify: Extracting #7: cost 2 inf + 780 * * [misc]simplify: Extracting #8: cost 0 inf + 1426 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2263 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 47 * * [misc]simplify: Extracting #4: cost 0 inf + 213 * [exit]simplify: Simplified to (+ (* b d) (* a c)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (+ (* b d) (* a c)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2264 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 11 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 46 * * [misc]simplify: Extracting #5: cost 7 inf + 212 * * [misc]simplify: Extracting #6: cost 4 inf + 416 * * [misc]simplify: Extracting #7: cost 2 inf + 780 * * [misc]simplify: Extracting #8: cost 0 inf + 1426 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2265 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 2 inf + 47 * * [misc]simplify: Extracting #4: cost 0 inf + 213 * [exit]simplify: Simplified to (+ (* b d) (* a c)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (+ (* b d) (* a c)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2266 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 29 inf + 4 * * [misc]simplify: Extracting #5: cost 19 inf + 820 * * [misc]simplify: Extracting #6: cost 9 inf + 2196 * * [misc]simplify: Extracting #7: cost 6 inf + 3524 * * [misc]simplify: Extracting #8: cost 0 inf + 6864 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* (* c c) (* c c)) (* c c))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2267 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 46 * * [misc]simplify: Extracting #5: cost 13 inf + 1186 * * [misc]simplify: Extracting #6: cost 6 inf + 2236 * * [misc]simplify: Extracting #7: cost 0 inf + 5014 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* (* c c) (* c c)) (* c c))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* (* c c) (* c c)) (* c c))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2268 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 19 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 46 * * [misc]simplify: Extracting #5: cost 13 inf + 1226 * * [misc]simplify: Extracting #6: cost 5 inf + 2518 * * [misc]simplify: Extracting #7: cost 0 inf + 5014 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* (* c c) (* c c)) (* c c))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* (* c c) (* c c)) (* c c))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2269 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 24 inf + 46 * * [misc]simplify: Extracting #5: cost 12 inf + 1146 * * [misc]simplify: Extracting #6: cost 5 inf + 2196 * * [misc]simplify: Extracting #7: cost 2 inf + 3444 * * [misc]simplify: Extracting #8: cost 0 inf + 4532 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2270 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 47 * * [misc]simplify: Extracting #5: cost 7 inf + 1296 * * [misc]simplify: Extracting #6: cost 2 inf + 1480 * * [misc]simplify: Extracting #7: cost 0 inf + 2377 * * [misc]simplify: Extracting #8: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* (* c c) (* c c)) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* (* c c) (* c c)) (* c c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2271 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 24 inf + 46 * * [misc]simplify: Extracting #5: cost 12 inf + 1146 * * [misc]simplify: Extracting #6: cost 5 inf + 2196 * * [misc]simplify: Extracting #7: cost 2 inf + 3444 * * [misc]simplify: Extracting #8: cost 0 inf + 4532 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2272 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 47 * * [misc]simplify: Extracting #5: cost 8 inf + 782 * * [misc]simplify: Extracting #6: cost 2 inf + 1389 * * [misc]simplify: Extracting #7: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2273 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 24 inf + 46 * * [misc]simplify: Extracting #5: cost 12 inf + 1146 * * [misc]simplify: Extracting #6: cost 5 inf + 2196 * * [misc]simplify: Extracting #7: cost 2 inf + 3444 * * [misc]simplify: Extracting #8: cost 0 inf + 4532 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* (* d (* d d)) (* d (* d d))) (* (* c (* c c)) (* c (* c c))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2274 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 17 inf + 47 * * [misc]simplify: Extracting #5: cost 9 inf + 1265 * * [misc]simplify: Extracting #6: cost 1 inf + 2467 * * [misc]simplify: Extracting #7: cost 0 inf + 2195 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* c (* c c)) (* c (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* (* d d) (* (* d d) (* d d))) (* (* c (* c c)) (* c (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2275 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 66 inf + 0 * * [misc]simplify: Extracting #4: cost 128 inf + 88 * * [misc]simplify: Extracting #5: cost 128 inf + 1519 * * [misc]simplify: Extracting #6: cost 36 inf + 17058 * * [misc]simplify: Extracting #7: cost 4 inf + 25326 * * [misc]simplify: Extracting #8: cost 0 inf + 27618 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2276 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 0 * * [misc]simplify: Extracting #3: cost 63 inf + 0 * * [misc]simplify: Extracting #4: cost 125 inf + 88 * * [misc]simplify: Extracting #5: cost 119 inf + 2410 * * [misc]simplify: Extracting #6: cost 23 inf + 20440 * * [misc]simplify: Extracting #7: cost 0 inf + 26528 * * [misc]simplify: Extracting #8: cost 0 inf + 26408 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2277 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 63 inf + 0 * * [misc]simplify: Extracting #4: cost 125 inf + 88 * * [misc]simplify: Extracting #5: cost 119 inf + 2410 * * [misc]simplify: Extracting #6: cost 22 inf + 20722 * * [misc]simplify: Extracting #7: cost 0 inf + 26528 * * [misc]simplify: Extracting #8: cost 0 inf + 26408 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2278 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 62 inf + 0 * * [misc]simplify: Extracting #4: cost 125 inf + 46 * * [misc]simplify: Extracting #5: cost 122 inf + 1680 * * [misc]simplify: Extracting #6: cost 32 inf + 16738 * * [misc]simplify: Extracting #7: cost 5 inf + 24636 * * [misc]simplify: Extracting #8: cost 0 inf + 26006 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2279 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 56 inf + 1 * * [misc]simplify: Extracting #4: cost 119 inf + 47 * * [misc]simplify: Extracting #5: cost 115 inf + 2045 * * [misc]simplify: Extracting #6: cost 44 inf + 13543 * * [misc]simplify: Extracting #7: cost 3 inf + 23305 * * [misc]simplify: Extracting #8: cost 0 inf + 23871 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2280 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 62 inf + 0 * * [misc]simplify: Extracting #4: cost 125 inf + 46 * * [misc]simplify: Extracting #5: cost 122 inf + 1680 * * [misc]simplify: Extracting #6: cost 32 inf + 16738 * * [misc]simplify: Extracting #7: cost 5 inf + 24636 * * [misc]simplify: Extracting #8: cost 0 inf + 26006 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2281 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 56 inf + 1 * * [misc]simplify: Extracting #4: cost 119 inf + 47 * * [misc]simplify: Extracting #5: cost 117 inf + 1761 * * [misc]simplify: Extracting #6: cost 30 inf + 16691 * * [misc]simplify: Extracting #7: cost 0 inf + 23871 * * [misc]simplify: Extracting #8: cost 0 inf + 23791 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2282 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 62 inf + 0 * * [misc]simplify: Extracting #4: cost 125 inf + 46 * * [misc]simplify: Extracting #5: cost 122 inf + 1680 * * [misc]simplify: Extracting #6: cost 32 inf + 16738 * * [misc]simplify: Extracting #7: cost 5 inf + 24636 * * [misc]simplify: Extracting #8: cost 0 inf + 26006 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 2283 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 56 inf + 1 * * [misc]simplify: Extracting #4: cost 119 inf + 47 * * [misc]simplify: Extracting #5: cost 115 inf + 1923 * * [misc]simplify: Extracting #6: cost 30 inf + 16611 * * [misc]simplify: Extracting #7: cost 2 inf + 23467 * * [misc]simplify: Extracting #8: cost 0 inf + 23871 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2284 / 2302 ] simplifiying candidate # * * * * [misc]progress: [ 2285 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 412 * * [misc]simplify: Extracting #5: cost 0 inf + 902 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 2286 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 12 inf + 250 * * [misc]simplify: Extracting #5: cost 16 inf + 902 * * [misc]simplify: Extracting #6: cost 8 inf + 1712 * * [misc]simplify: Extracting #7: cost 4 inf + 2318 * * [misc]simplify: Extracting #8: cost 2 inf + 3162 * * [misc]simplify: Extracting #9: cost 0 inf + 4330 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* (* (* c c) (* c c)) (* c c)) (* (* d (* d d)) (* d (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* (* (* c c) (* c c)) (* c c)) (* (* d (* d d)) (* d (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))) * * * * [misc]progress: [ 2287 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 0 * * [misc]simplify: Extracting #4: cost 55 inf + 250 * * [misc]simplify: Extracting #5: cost 94 inf + 5223 * * [misc]simplify: Extracting #6: cost 50 inf + 17225 * * [misc]simplify: Extracting #7: cost 3 inf + 24758 * * [misc]simplify: Extracting #8: cost 0 inf + 25324 * [exit]simplify: Simplified to (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (- (* c c) (* d d))))))) * * * * [misc]progress: [ 2288 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 101 inf + 0 * * [misc]simplify: Extracting #5: cost 92 inf + 3323 * * [misc]simplify: Extracting #6: cost 34 inf + 12235 * * [misc]simplify: Extracting #7: cost 2 inf + 16859 * * [misc]simplify: Extracting #8: cost 0 inf + 17223 * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (- (* d d) (* c c)) (* d d)) (* (* c c) (* c c))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (sqrt (sqrt (+ (* (- (* d d) (* c c)) (* d d)) (* (* c c) (* c c))))))) * * * * [misc]progress: [ 2289 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 0 * * [misc]simplify: Extracting #4: cost 40 inf + 0 * * [misc]simplify: Extracting #5: cost 30 inf + 454 * * [misc]simplify: Extracting #6: cost 12 inf + 2409 * * [misc]simplify: Extracting #7: cost 0 inf + 4273 * [exit]simplify: Simplified to (sqrt (sqrt (- (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (sqrt (- (* c c) (* d d)))))) * * * * [misc]progress: [ 2290 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 412 * * [misc]simplify: Extracting #5: cost 0 inf + 902 * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 2291 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying d * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to d * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt d))) * * * * [misc]progress: [ 2292 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying c * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to c * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt c))) * * * * [misc]progress: [ 2293 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 c) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 0 inf + 43 * [exit]simplify: Simplified to (- c) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (- c)))) * * * * [misc]progress: [ 2294 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying d * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to d * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt d)) (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 2295 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying c * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to c * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt c)) (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 2296 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 c) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 0 inf + 43 * [exit]simplify: Simplified to (- c) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (- c))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 2297 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying d * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to d * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) d) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 2298 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying c * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to c * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) c) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 2299 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 c) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 0 inf + 43 * [exit]simplify: Simplified to (- c) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (/ (+ (* a c) (* b d)) (- c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 2300 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b c d) 0) * * * * [misc]progress: [ 2301 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a c) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (/ a c) * [misc]simplify: Simplified (2) to (λ (a b c d) (/ a c)) * * * * [misc]progress: [ 2302 / 2302 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a c) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 44 * [exit]simplify: Simplified to (/ a c) * [misc]simplify: Simplified (2) to (λ (a b c d) (/ a c)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) * [misc]taylor: Taking taylor expansion of (/ 1/2 d) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* d 1)) into d * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) * [misc]taylor: Taking taylor expansion of (/ 1/2 d) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* d 1)) into d * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) * [misc]taylor: Taking taylor expansion of (/ 1/2 d) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* d 1)) into d * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) * [misc]taylor: Taking taylor expansion of (/ 1/2 d) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* d 1)) into d * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 0 * * [misc]simplify: Extracting #5: cost 5 inf + 43 * * [misc]simplify: Extracting #6: cost 0 inf + 892 * [exit]simplify: Simplified to (fabs (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))))) * * * * [misc]progress: [ 8 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 0 * * [misc]simplify: Extracting #5: cost 4 inf + 43 * * [misc]simplify: Extracting #6: cost 0 inf + 570 * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))))) * * * * [misc]progress: [ 9 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* 1 (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 10 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 904 * * [misc]simplify: Extracting #5: cost 1 inf + 1178 * * [misc]simplify: Extracting #6: cost 0 inf + 1500 * [exit]simplify: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (/ (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))))) * * * * [misc]progress: [ 11 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 48 inf + 0 * * [misc]simplify: Extracting #3: cost 118 inf + 0 * * [misc]simplify: Extracting #4: cost 119 inf + 1265 * * [misc]simplify: Extracting #5: cost 31 inf + 15994 * * [misc]simplify: Extracting #6: cost 0 inf + 22216 * [exit]simplify: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d))))))))) * * * * [misc]progress: [ 12 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 43 * * [misc]simplify: Extracting #5: cost 0 inf + 368 * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2 2 1 1 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (fabs (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 14 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 0 * * [misc]simplify: Extracting #5: cost 5 inf + 43 * * [misc]simplify: Extracting #6: cost 0 inf + 892 * [exit]simplify: Simplified to (fabs (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 22 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 0 * * [misc]simplify: Extracting #5: cost 4 inf + 43 * * [misc]simplify: Extracting #6: cost 0 inf + 570 * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 23 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (* 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 24 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 904 * * [misc]simplify: Extracting #5: cost 1 inf + 1178 * * [misc]simplify: Extracting #6: cost 0 inf + 1500 * [exit]simplify: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (/ (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 25 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 48 inf + 0 * * [misc]simplify: Extracting #3: cost 118 inf + 0 * * [misc]simplify: Extracting #4: cost 119 inf + 1265 * * [misc]simplify: Extracting #5: cost 31 inf + 15994 * * [misc]simplify: Extracting #6: cost 0 inf + 22216 * [exit]simplify: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 26 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 43 * * [misc]simplify: Extracting #5: cost 0 inf + 368 * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (fabs (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 28 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 0 * * [misc]simplify: Extracting #5: cost 5 inf + 43 * * [misc]simplify: Extracting #6: cost 0 inf + 892 * [exit]simplify: Simplified to (fabs (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 36 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 0 * * [misc]simplify: Extracting #5: cost 4 inf + 43 * * [misc]simplify: Extracting #6: cost 0 inf + 570 * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 37 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (* 1 (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 38 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 904 * * [misc]simplify: Extracting #5: cost 1 inf + 1178 * * [misc]simplify: Extracting #6: cost 0 inf + 1500 * [exit]simplify: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (/ (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 39 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 48 inf + 0 * * [misc]simplify: Extracting #3: cost 118 inf + 0 * * [misc]simplify: Extracting #4: cost 119 inf + 1265 * * [misc]simplify: Extracting #5: cost 31 inf + 15994 * * [misc]simplify: Extracting #6: cost 0 inf + 22216 * [exit]simplify: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 40 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 43 * * [misc]simplify: Extracting #5: cost 0 inf + 368 * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (fabs (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 42 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 0 * * [misc]simplify: Extracting #5: cost 5 inf + 43 * * [misc]simplify: Extracting #6: cost 0 inf + 892 * [exit]simplify: Simplified to (fabs (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 50 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 0 * * [misc]simplify: Extracting #5: cost 4 inf + 43 * * [misc]simplify: Extracting #6: cost 0 inf + 570 * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 51 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (* 1 (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 52 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 16 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 904 * * [misc]simplify: Extracting #5: cost 1 inf + 1178 * * [misc]simplify: Extracting #6: cost 0 inf + 1500 * [exit]simplify: Simplified to (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (/ (sqrt (+ (* (* c (* c c)) (* c (* c c))) (* (* d d) (* (* d d) (* d d))))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 53 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 48 inf + 0 * * [misc]simplify: Extracting #3: cost 118 inf + 0 * * [misc]simplify: Extracting #4: cost 119 inf + 1265 * * [misc]simplify: Extracting #5: cost 31 inf + 15994 * * [misc]simplify: Extracting #6: cost 0 inf + 22216 * [exit]simplify: Simplified to (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (/ (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (sqrt (- (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 54 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 43 * * [misc]simplify: Extracting #5: cost 0 inf + 368 * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (fabs (sqrt (+ (* c c) (* d d))))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 56 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying d * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to d * [misc]simplify: Simplified (2 2 2 1 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt d))))) * * * * [misc]progress: [ 58 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying c * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to c * [misc]simplify: Simplified (2 2 2 1 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt c))))) * * * * [misc]progress: [ 59 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 c) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 0 inf + 43 * [exit]simplify: Simplified to (- c) * [misc]simplify: Simplified (2 2 2 1 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (- c)))))) * * * * [misc]progress: [ 60 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying d * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to d * [misc]simplify: Simplified (2 2 1 2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 61 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying c * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to c * [misc]simplify: Simplified (2 2 1 2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 62 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 c) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 0 inf + 43 * [exit]simplify: Simplified to (- c) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (- c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 63 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying d * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to d * [misc]simplify: Simplified (2 2 1 1 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) d) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 64 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying c * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to c * [misc]simplify: Simplified (2 2 1 1 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) c) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 65 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 c) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 0 inf + 43 * [exit]simplify: Simplified to (- c) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (/ (+ (* a c) (* b d)) (- c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 66 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying d * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to d * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt d))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 67 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying c * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to c * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt c))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 68 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 c) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 0 inf + 43 * [exit]simplify: Simplified to (- c) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (- c)))) (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # # # # #) * * * [misc]regime-changes: Trying 5 branch expressions: (d b c a (/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))) * * * * [misc]regimes: Trying to branch on d from (# # # # # # # # #) * * * * [misc]regimes: Trying to branch on b from (# # # # # # # # #) * * * * [misc]regimes: Trying to branch on c from (# # # # # # # # #) * * * * [misc]regimes: Trying to branch on a from (# # # # # # # # #) * * * * [misc]regimes: Trying to branch on (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) from (# # # # # # # # #) * * * [misc]regime: Found split indices: #